diff --git "a/data/dm_maths/full_data_2/10690_11255.jsonl" "b/data/dm_maths/full_data_2/10690_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10690_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 7941.\nAnswer: 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:53 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dd763 + 1?\nAnswer: dd764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.975 + -0.155. Let q = g - -0.93. Let b = 1.8 - q. Is b less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241882 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 126146 = 20924. Suppose f - 5*x = 5*f - y, 0 = -4*x - 8. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 + 125. Let n = t + 95. Solve -n*b + o = -3*o - 22, -3*b - 3*o - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 - -64. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/202 + 9391\/2828. Calculate the common denominator of -9\/52 and n.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 449505*a - 3146501. Determine n(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/9*(-2013)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2763 divide 163246022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*r + 39. Suppose 0 = -2*n - 2*t + 6, n - 3*t = -2*n + r. Solve -4*h**4 + 2*h**n + 2*h**4 + 0*h**5 + 4*h**4 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6601 + -6595. Solve -2*z + 3*q - 12 + l = 0, 10 = 3*z + 5*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-4))\/(2\/(-38)). Differentiate -4 - 8 - y*p + 7*p + 0 with respect to p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/1*(-4)\/(-6). Put h, -0.23, 5 in ascending order.\nAnswer: h, -0.23, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 r when three letters picked without replacement from vvvvzvzazzvaarzvzvv?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -18 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (108\/(-1026) - 170\/1995)*6\/(-4). Let b = -3 + 4.7. Sort 2\/5, b, j in ascending order.\nAnswer: j, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1584)\/22440)\/(-2*6\/(-20)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, -17, -2\/5, -7\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * -13\nAnswer: -3.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 + 0*d**4 + d**4)*(-230 - 4855*d + 2424*d + 1647 + 2422*d).\nAnswer: 18*d**5 - 2834*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 5*w**2 - 3*w - 3. Calculate h(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 4. Let t be f(6). Let k be 14\/(-49) - (-299)\/(-7). Let j = 165\/4 + k. Which is bigger: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f - 1 - 17*f - 6*f**2 + ((-6 + 4 + 0)*(f + f + 0*f) + 3*f + 9*f + 4*f)*(f + 0*f + 2*f).\nAnswer: 30*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 115 = -1. Let v = i + -14. Find h, given that 21*h + 37 + 3*h**2 + 9*h - v + 43 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -654 (c) 5\/3 (d) 2 (e) 192 (f) -4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39d + a?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*z - 16*z + 30. Let v = 16 + -17. Put z, -1\/6, v, -0.1 in decreasing order.\nAnswer: -0.1, -1\/6, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 17662.\nAnswer: 158958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**13\/j)))\/j)\/(j**(2\/41)\/j) assuming j is positive.\nAnswer: j**(490\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*l = 4, l - 2 = -0*l. Suppose 0*p - 2*p - 23608 = 4*f, z*p = f - 23598. What is p rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11261 - 11249. Let c(x) be the second derivative of -x**5\/20 + 11*x**4\/12 + 2*x**3 - 9*x**2 - x. What is c(k)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6085 - -4?\nAnswer: 6089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-355)\/71*((-3)\/38)\/(9*(-5)\/30).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from mfmfmff?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsuujbuueemjube. What is prob of picking 1 u, 1 e, and 1 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.01, -0.279, -1?\nAnswer: -0.279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2330 = 28*q - 23*q, 0 = 2*q + 5*l - 959. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + 4*sqrt(384)*-1 + sqrt(384))\/(4*sqrt(320)\/sqrt(10)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24080 divided by 35\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*b - 553, -2*v + b + 184 = -v. Let q = v - 80. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6926309, 6926314, 6926319, 6926324, 6926329?\nAnswer: 6926334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 6 + 6 + 34*p.\nAnswer: -2*p**2 + 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31130882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:02 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.175 and 38.\nAnswer: -6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Let g = -3444 + 24110\/7. What is the third biggest value in 1, q, g, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088 and 4?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + (sqrt(98) + -1)*5)*4.\nAnswer: -32 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -3.08. Let u = -1.12 + n. Which is the nearest to 0? (a) -0.2 (b) 2\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n + 47*n + 4*n - 14*n.\nAnswer: 84*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -576 - -186. Let l = 392 + t. Let s = 4 + -1. What is the smallest value in l, s, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/85)\/((-8)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(3\/7))\/(b*(b\/(b\/(((b*b**(1\/9)*b)\/b)\/b)))\/b)*(b**(-8\/3)*b)\/b*(b*b**(2\/21)*b)\/b assuming b is positive.\nAnswer: b**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-42)*(-140)\/320.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 3410?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4450177.\nAnswer: 4450177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*t**2 + 52420*t - 52420*t.\nAnswer: 536*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(-39)*(r\/r**(-2))\/(r\/(r*r**11)) assuming r is positive.\nAnswer: r**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -47. Let z(r) = -r**3 + 2*r**2 + r + 4. Calculate z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Let p be (-2 - -2)\/(-2)*1. Suppose -4*w - w = p. What is the closest to w in -1\/3, 0.4, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6659*k + 6618*k - 969 = 343 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let g be j(3). Let s = -4378 + 6652. Let b be (-2)\/(-6) - s\/g. What is the highest common factor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28*a - 132. Calculate i(11).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (19 - 17) - (4 - 1) - 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -30*d**2 + 13035*d + 5. Let i(f) = 47*f**2 - 19553*f - 8. What is 7*i(u) + 11*r(u)?\nAnswer: -u**2 + 6514*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k, -6*p + 2*p + 420 = k. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33210 and 10854?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbp when three letters picked without replacement from {w: 4, p: 1, t: 5, l: 5, b: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 12*n + 3*n**3 - 99 + 41.\nAnswer: 3*n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 + 1 = 0. Suppose 36 = 3*x + 15*x. Put i, -4, x in increasing order.\nAnswer: -4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 11*h + 54. Suppose 10843 + 9875 = h*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by 46357.\nAnswer: 65\/46357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*(-340)\/(-136)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 104*c**2 + 0*c + c.\nAnswer: -104*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2587685?\nAnswer: 5, 673, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.56 + -6.948. Let m = h + -0.012. Let z = 2.7 - m. What is z rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(77)*-1)\/(sqrt(220)\/sqrt(5)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 22*i + 4*v + 46, 0 = 3*i + 5*v - 10. Let g = 0 - -3. Solve -g*y + 2*p - 16 = 0, -4*y - i = -0*y + 3*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3))*3 + 4)**2.\nAnswer: 6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 447297841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2430 - 93*p + 2430)*(-54 + 21 + 44) to the form u + g*p and give g.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1012d3 - 1?\nAnswer: 1012d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14 - (1 - 120\/140)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 - 163 - 5*t**3 - 7*t**3 + 46 + 115 to the form b*t + d*t**3 + o*t**2 + k and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (0 - (0 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18129379 is divided by 79?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037464 to 4 decimal places.\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*v - 3*v - 29, 5*v = 2*n + 100. Calculate the remainder when 85 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 6*v + 2. Let u be t(7). Suppose -6 = -3*y + u. Let d(w) = -4*w + 2. Let c(g) = g. Calculate y*c(k) + d(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/5)\/(792\/66 - (-186)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + 2848\/28. Suppose 297 = -5*g + v. Let t = g - -78. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 213624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - b)*(181*b + 135 - 135).\nAnswer: -181*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Calculate -26.2*203.8852.\nAnswer: -5341.79224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 19 - 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 31*o + 3455. Let q be 3592\/26 + (-4)\/26. Let g = o - q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32674892*n + 27783560 wrt n.\nAnswer: -32674892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (-1)\/((-4)\/(-16)). Suppose 3*t - 2 + 5 = u. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62160892 to the nearest integer?\nAnswer: 7884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13810 - -26546. Suppose 5*b = -4926 + u. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 1\/18*x**3 + 11\/6*x**2 - 158 + 121\/6*x. Factor y(z).\nAnswer: (z + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1587018000 to the nearest one million.\nAnswer: 1587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaxxxaxaxaxxxaxaxl. Give prob of sequence lxa.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 - -46. Let m = h + 18. Let w(q) = -4*q + 4. What is the units digit of w(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15553 = 12*t - 111181. What is t rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*z - 3040, -5*d - 13*z - 7590 = -18*z. Which is bigger: -1511 or d?\nAnswer: -1511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5846 is divided by 195.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003479 to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.9 and -4546?\nAnswer: 4555.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294.56 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7189 - -12877. What is the highest common factor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -12, 1, 67.\nAnswer: -12, 1, 67, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 3. Let v(u) = -5*u + 2. Suppose 0 = -25*s + 78*s + 159. Give s*v(n) - 2*o(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3 + 944*l + 945*l - 3 - 1890*l. Let x be (-1 - -1)\/(-1) - -3. Let h(m) = -10*m + x*m**2 + 10*m. Determine h(r(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 + 5*u**2 - 4*u. Let v(r) = 3*r**3 + 6*r**2 - 5*r. Let w be (8 - -1 - 1)\/(-2). Give w*v(g) + 5*k(g).\nAnswer: 8*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/360 and 151\/2374518?\nAnswer: 142471080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4803?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkv when four letters picked without replacement from vkkkkkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i**2 + 2*i + 14. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4070\/(-15) - (-1)\/6*2. Let t = 702 + v. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + 21. Calculate the remainder when p is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/136 and 145\/504.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h. Let s(v) = -364515*v. Calculate l(s(o)).\nAnswer: 3280635*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 2*g**2 - 5*g**2)*(4 + 0 - 2)*(-5 + 1 + 3) to p*g + b*g**2 + o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (523 + -12 + 11)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -1\/15*u**3 - 1\/150*u**6 + 1\/50*u**5 + 0*u**4 + 0 + 4*u + 1\/10*u**2. Factor o(z).\nAnswer: -(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + (-224)\/21 + -1. What is the closest to -1 in r, 6, -17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71224 bigger than 71224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 72. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3\/4 + 909*c**2\/2 + 811785*c\/4 = 0.\nAnswer: -299, 0, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 3}. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 15. Let v be (-1 - 0)*(-30)\/(-6). Sort v, 0.2, n.\nAnswer: v, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/3*66\/(-99)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66014901 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:30 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v + 8. Let b be n(5). What is the nearest to -2 in -5, b, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 19. Let o = 11.09 - a. What is the third biggest value in 4, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -4, -1, 18 in decreasing order.\nAnswer: 18, 7, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 20122110012200?\nAnswer: 20122110012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286 + 286. Which is the third biggest value? (a) n (b) 2 (c) -1\/7 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286838.\nAnswer: 2, 143419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*b + 2964602 = 2952729 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11050 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/78)\/(-5)*-13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5862784?\nAnswer: 2, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {r: 1, d: 1, l: 2, q: 2, x: 1, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143)*2 + sqrt(143)) - sqrt(143))\/sqrt(11) + 0)*-6.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 152, -110, -1188, -3490, -7424, -13398?\n\"Answer: -68*s**3 + 214*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/42*3 + (-1344)\/(-2646)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2*w**3\/3 - 1. Let h(g) be the third derivative of 3*g**5\/20 - 349*g**2. Give a(h(s)).\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402.031 + -0.3133.\nAnswer: -402.3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.722 + 16.222. Which is bigger: -4\/67 or z?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18881+1798971\nAnswer: 1780090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 + 11*h + 19. Let y be d(-9). Let w = -7.2 + 1.2. Let f = -12 - w. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (714\/(-1190))\/(102\/(-40))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4696693\/798 - 30136\/133. Let h = m - -6087. What is the common denominator of -47\/18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + z**4 + 1 + 3*z**3 - 3*z**3 - 4*z - 5*z**2 - 2*z**3 to the form s*z**4 + k*z**2 + v*z**3 + d + t*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Is (5 + -3 - (18 - x))\/(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 15*w - 63. Let o(r) = 2*r**2 + 39*r + 125. Determine 5*h(b) + 2*o(b).\nAnswer: -b**2 + 3*b - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 - 80*x**2 + 154*x - 76 = 0. What is x?\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/7*u**3 + 48\/7*u + 4\/7*u**5 + 0*u**4 + 0 + 16\/7*u**2 = 0. Calculate u.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11672 (base 13) in base 9?\nAnswer: -47635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:56 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*b**5 - 22484*b**4 + 162372*b**3 - 285316*b**2 + 173372*b - 27960 = 0. Calculate b.\nAnswer: 1\/4, 1, 5, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80556.37l to millilitres.\nAnswer: 80556370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 53. Calculate the lowest common multiple of 11 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579836785.\nAnswer: 5, 11, 23, 131, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - 15*t**2 - 20*t + 56. What is a(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + 63*f - 17. Let n(v) = -4*v**2 - 94*v + 26. Let l(i) = 7*h(i) + 5*n(i). Let a be l(29). Solve 0 = -a*t - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2210208 and -83\/61334?\nAnswer: 744840096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90570, 90571, 90572, 90573, 90574?\nAnswer: 90575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102 in 4, -5, -0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2870 - -2829.5. What is t rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 1)*(4*x - 8*x + 5*x)*(8*x - 9*x + 37*x**2 + 9*x**2).\nAnswer: -46*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.817 + -1.717. What is the fourth smallest value in m, -4, -0.4, -26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114994723 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -1, -8, -2, 8 in descending order.\nAnswer: 58, 8, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.297 - -3.297. Let l = 0.96 + -1. Which is the fourth smallest value? (a) q (b) 1 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/(1403\/561798)*(-4)\/(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3704, 3589, 3428, 3221, 2968?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxrrx. Give prob of sequence dr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -708 * 23822.\nAnswer: -16865976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11560\/(-60)*3*(1 + -2). Let y = -364 + h. Suppose -4*m - 202 = -y. Solve 40 = 4*s + 5*t, 2*s + m = 5*t - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3, -2*o - 3 - 3 = -4*v. Let d(w) = 6*w**2 + v*w**2 - 10*w**2 + 4*w**2. Let y(u) = -3*u**2. Calculate y(d(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 7*g - 8 = 0. Which is the second smallest value? (a) g (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 3*l + 12. Calculate the greatest common divisor of l and 858.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -110*j + 1. Suppose 3*q + x - 52 = 0, -x = q + x - 24. Let n = q + -17. Is t(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 10:03 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302*r*y**2 + 9*r*y + 3*y wrt y?\nAnswer: -604*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.8570662 minutes to weeks.\nAnswer: 0.00117629625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - -18. Suppose 5*u + 2*t = -b, 6*u - 2*t = 4*u - 18. Let g be ((-30)\/4)\/(u\/12). Calculate the greatest common divisor of g and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f - 1568 = -6*f - 25*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287405710 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g - 3. Let k(f) = f**2 + 13*f + 7. Calculate 2*k(v) + 5*y(v).\nAnswer: 2*v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 29, 2\/13, -0.06?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749126 to the power of 1\/2, to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 + 505*v**2\/4 - 1009*v\/8.\nAnswer: -v*(v - 1009)*(v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnkppnphppknpnp. Give prob of sequence pnpn.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 + 7710*n**3 - 4114205*n**2 + 880482000*n - 65208200000 = 0 for n.\nAnswer: 200, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*o**3 + 561*o**3 - 276*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9796 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -5*p - 201, -5*p + 19 = a. Calculate the highest common divisor of 44 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5 - 5*w + 5*w + w. Let r be p(7). Suppose r*i - n - 4*n = 6, 0 = 5*i + n - 15. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1044160 + 0?\nAnswer: 1044160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = -r - 124*r + 9660. What is the smallest common multiple of 744 and r?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + (-4 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 206*v**4 + 680 wrt v?\nAnswer: 824*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 - 476*s - 2892 = 0.\nAnswer: -6, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.528179 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-54)\/18*(11\/(-9) + 1). Sort d, -74, 5 in descending order.\nAnswer: 5, d, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2))\/sqrt(4)*6 + sqrt(55)\/(3*sqrt(15)\/sqrt(3)).\nAnswer: 19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 112131?\nAnswer: -112132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*w + 260, 5*m = 27*w - 23*w + 260. Calculate the remainder when 212 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/5, 2.2, 5, -234, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-6)\/1)\/(15\/(-10)). Put n, 2, 3, 24 in decreasing order.\nAnswer: 24, n, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2167 (base 13) to base 2\nAnswer: 1001000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 12*f**2 + 2. Let t be x(-12). Solve -t*i + 5*i - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from bzbooyyomoowoo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533824 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94407 is divided by 2052.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273592.\nAnswer: 2, 11, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 108549 to the nearest 1000.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2430 = 93*k, 0 = 4*k - 3*t + 139 - 44 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:31 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.01, -0.2, 3\/4, -18, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**7\/21 - 23*y**4\/12 + y**3\/6 + 135*y**2\/2 + 761*y. Find the second derivative of d(b) wrt b.\nAnswer: 40*b**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 659044975 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {z: 11, x: 4, j: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 284, 1040, 2268, 3968, 6140?\n\"Answer: 236*d**2 + 48*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -3290019207489.\nAnswer: -3290019207489.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - v = 0, 0*v = -2*n - 2*v - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -42*i + 712. Calculate r(15).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1744 - ((-12)\/(-4) + 5 + -3). Let j = y + 276341\/158. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -97*p - 7. Let d(u) = -49*u - 3. Let z(k) = 13*d(k) - 6*q(k). Let c be z(-13). Is c\/(-4)*(10 + -12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21310 (base 5) to base 9\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 218199330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -4)\/((-10)\/30). Is f < 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p - 17*p - 4*p**4 - p**2)*(4*p + 4*p - 15*p).\nAnswer: 28*p**5 + 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 - i**4 + 6*i**4)*(0 - 2 + 4) + 3*i**2 - 3*i**2 - i**4 + 250*i**4 - 9254 + 9254.\nAnswer: 253*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/950 and -54\/3665.\nAnswer: 696350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 + 0)\/(-5))\/((-54)\/30). Which is the second smallest value? (a) -0.3 (b) l (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44533, 89070, 133613, 178162, 222717?\nAnswer: 267278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/42 and 58\/39.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4741 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/6 - 82*f**3\/3 + 546*f**2 + f + 35. Differentiate k(d) with respect to d.\nAnswer: -4*d - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**7\/70 + 2*j**5\/15 - 18*j**2. Find the third derivative of z(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -756 - -794. Suppose -n - 24 + i = 0. Calculate the greatest common factor of 10 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 47. Let p be u(-16). Suppose -p*t = 2448 - 16119. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 1 - 21. Solve o*z + 0*m - 24 = 4*m, -3*z = 4*m - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p + 182 + 53*p - 182 - 28*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -35a349?\nAnswer: 35a345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 0.1 (c) -0.4 (d) 4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 16*k**3 + k**3 + 3*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 2450*x**4 - 296040*x**3 - 601920*x**2 = 0. Calculate x.\nAnswer: -2, 0, 228, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 5*i - 5. Give c(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40342.059s to hours.\nAnswer: 11.2061275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 18*j**2 + 15*j + 36. Let i be v(17). Suppose q - 2*q = 0. Suppose s + 22 = -5*p, i*s + q - 16 = 2*p. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2210221010121 (base 3) to base 2\nAnswer: -101101100111000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((60\/10)\/(-90)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55560.5m?\nAnswer: 55560500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**2 + 9*o - 10. Let t be z(5). Let u = t + -144. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*h + 6*h + 10693 - 2193 = 0 for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 77.79. Let y = -0.7899915 + u. What is y rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Suppose -h + 4*u + 7 = 0, 4*u + 13 = -h - 4. Let w be v(h). Suppose -4*a = 3*i + 13, -w*i - a + 2*a + 9 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = -2. Let x be (4\/40*c)\/(26\/6). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.44 times -4?\nAnswer: -41.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 2*i**2 - 3*i**2. Suppose 4 = -2*s + 8. Let t(x) = 6*x**2 - 3*x**s + 3*x**2 - 3*x**2. Give g(t(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-8))\/(12\/144). Suppose 4*j - 1057 = -12*f + l*f, 5*j = 2*f + 1316. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52071 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0827666 rounded to 4 decimal places?\nAnswer: 0.0828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, -488, -1182, -1894, -2630, -3396, -4198?\nAnswer: -5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2.19.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-124)\/(-4)*(-1244)\/9641)\/(116\/(-6)*-9)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z + 4012 - 292 = 0 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*p**4 - 40*j**2 - 81520*j*p**5 + 1502*p wrt p?\nAnswer: -24*j**2*p**2 - 1630400*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 7*q + 9. Suppose -6 - 4 = -j + y, 5*j - 18 = -3*y. Let f be u(j). Let r = f - 1. Solve 5*i + b = r*b + 17, -b = 3*i - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d + -59267?\nAnswer: -59286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g + 3 = 0, -5*g = -2*j + 31. Let s = -6 + j. What is the third derivative of -3*z**3 + s*z**2 + z**3 + 4*z**3 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 50*s**2 + 70*s - 59. Let b be a(-41). Let w = 32817 + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c + 4. Let g = -13 + 8. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 + -82. Let q = k - 46. Calculate the greatest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 3*p - 8. Let d be w(-16). Let u = d + -64. List the prime factors of u.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -11 + 0 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 2)*(19*f**2 - 2*f**2 + 4*f**2) + 22*f - 22*f + 21*f**2 + (2*f - 4*f + 3*f)*(-2*f + 0 + 0).\nAnswer: -65*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**4*h + f**4 - 809*f**3*h + 3*f**3 + 37*f**2 - 265721*f*h wrt f?\nAnswer: -240*f*h + 24*f - 4854*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68018583, 68018574, 68018565, 68018556, 68018547?\nAnswer: 68018538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -841 + 13449\/16. Is 0 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4383449, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, -4383449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.053 + -4.953. Let c = f + 5. Let g = 0.22 + 0.08. What is the biggest value in c, g, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*y**4 + 5825*y**3 + 75970*y**2.\nAnswer: -144*y + 34950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.36465 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1011110?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 195, 219, 257, 315, 399, 515, 669?\n\"Answer: n**3 + n**2 + 14*n + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2773 - 2772.3. Which is the smallest value? (a) 3.1 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -5\/3*u**3 + 13\/24*u**4 + 0 - 1\/10*u**5 + 18*u**2 + 0*u. Let r(p) = 4*p**2 - 9*p + 7. Calculate -5*g(o) - 7*r(o).\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168355, -336629, -504901, -673171, -841439?\nAnswer: -1009705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13544, -18423, -23324, -28259, -33240?\n\"Answer: -2*l**3 + l**2 - 4868*l - 8675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1792, -7222, -16264, -28912, -45160, -65002?\n\"Answer: l**3 - 1812*l**2 - l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -474*(-5)\/470 - (35\/(-49))\/((-3)\/21).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, 4, 3, -64 in decreasing order.\nAnswer: 4, 3, -64, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.3 + 11.4. What is the nearest to 1 in -4, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.13, -0.4, -1\/6, 21\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:26 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y + 329. Let c be g(49). Let q(s) = -5*s + 12. Let k(w) = 6*w - 11. Let h(r) = 6*k(r) + 7*q(r). What is the remainder when 10 is divided by h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*v + 14*v - 37*v)*(114 + 42 - 14 + 229).\nAnswer: -2597*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3835 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 225. Let r be (-27)\/q + (-3227)\/(-5). Let w = -243 + r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 j when four letters picked without replacement from {o: 2, j: 4, m: 2, a: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 121102011110211?\nAnswer: 121102011110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -219, -2, -3, -0.1, -0.032, -4?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.4 - -109.298. Let r = 0.102 + c. Let n = -48.4 + r. What is n rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - 5 - (10 - (5 + 40))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 18 - 2 = 0. Let s(n) be the first derivative of -2*n**2 + 33*n + 235. What is the units digit of s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13. Suppose 2*g - 25 + 5 = z. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*1*(sqrt(33)\/(sqrt(99)\/sqrt(36)))**2*6.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049845046 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.275 + 2.275. Which is the closest to -0.03? (a) l (b) 3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7 - 14*s**3 + 15*s**3 + 12 + 4 - 15*s + 6*s**2. Determine f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 - 297. Let p = 3014\/9 - 335. Which is the second smallest value? (a) 0.2 (b) p (c) -3\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 28*w**2 - 214*w - 97. Is g(25) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94169693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 717.5569 millennia?\nAnswer: 717556.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43\/(-15) + -3 + 16\/5. Let h = o + 7\/3. Let l be 8\/90*6\/4. Which is the nearest to 0? (a) -1\/9 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4915 is divided by 611?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -239\nAnswer: -71.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 + 2*c - 14. Let u(b) = b**3 - 1. Let g(z) = -r(z) + u(z). Let a be g(-7). Differentiate -k**3 + a + 12 + 2*k**3 wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/3)\/h**(-4\/9)*(h**(2\/3)*h)\/((h\/(h\/(h*h**(-2\/27)*h)))\/h*h) assuming h is positive.\nAnswer: h**(50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + d, 4*d = 2*f + 3*d. Suppose 5*c - 5 = -2*k, 0 = -2*c + 2. Solve f = -5*x - k - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 6. Let h be c(9). What is the tens digit of 3\/h*-46*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001274 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/20 + a**4 - 8*a**3 - 4*a**2 + 2*a. Let s(y) be the first derivative of d(y). Let s(g) = 0. What is g?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21285*o + 53. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12293 - -26897. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19078?\nAnswer: 2, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(108)*-1.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:22 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.40981433 - 14634?\nAnswer: -14658.40981433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/8)\/(5\/1200). Suppose -2*a + m - 363 = 0, g = -5*a - 0*m + m. What is a rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.399713 - 4.4. Round l to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k**3 - 20*k**3 + 44*k**3 + 362 to the form t + a*k**3 + y*k**2 + m*k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + (-65)\/35).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25)\/(-3))\/((-6)\/36). Let v = y + 19. Let q = -24 - v. Which is smaller: q or 46\/7?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*u**2 - 1 - 20*u - 21*u**2 + 3)*(-4*u**3 + u**3 + u**3).\nAnswer: -8*u**5 + 40*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let q(o) = 4*o - 1. Let m be q(-1). Sort m, 3, d in decreasing order.\nAnswer: 3, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -672, -689, -706, -723, -740?\n\"Answer: -17*q - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - z**2 - 7 - 2*z**2.\nAnswer: -7*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 + 16.6. Let g = 21 - j. What is the biggest value in 0, 3\/2, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -71. Let b = 54 + d. Let r = -83 - -97. Calculate the remainder when b is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -129, -115, -83?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 10 - -14) + (4 - (21 - (-5 + 5)))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {u: 4, b: 4, t: 3, o: 8}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33882623.\nAnswer: 257, 131839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4130303.5 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 34*u - 4. What is the units digit of l(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12 and ((-1404)\/7280)\/((-6)\/(-135)) + 1 + 4.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1112752, 4451005, 10014760, 17804017, 27818776?\n\"Answer: 1112751*o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 19, -14, -81, -194, -365, -606?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12729 + 13318. Calculate the least common multiple of c and 95.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6674*p*w + 81*p + 3903*w - 737 wrt p.\nAnswer: 6674*w + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*144\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ievivcbbo. What is prob of sequence ove?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91965*m - 45989*m - 45980*m + 472 + 2177.\nAnswer: -4*m + 2649","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 10, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 - 122. Calculate the smallest common multiple of h and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Suppose r*l - 8 = -2. Suppose 2*t - 45 = -5*a, -4*t - l*a + 0*a = -50. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 11*x**4\/3 + 35*x**2\/2 - 37*x. Differentiate t(y) wrt y.\nAnswer: 88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3018340\/16429 - 14\/2347. Let p = 184 - t. Let w(d) = 4*d - 45. Let i be w(12). Which is the nearest to p? (a) i (b) 3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/5 + 303*v**3\/5 + 25913*v**2\/5 + 448521*v\/5 + 437382 = 0. Calculate v.\nAnswer: -141, -11, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1437 divide 401007873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22712, -45517, -68322, -91127, -113932?\n\"Answer: -22805*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -611517, -11, 0 in descending order.\nAnswer: 0, -11, -611517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (14\/4 - 0).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3548 divide 127657040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64560 or -64528?\nAnswer: -64528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/105 - (-4)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrmmrq. Give prob of picking 2 r and 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7896, -15788, -23678, -31566?\n\"Answer: g**2 - 7895*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millisecond in microseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 185*v + 188*v + 3990, 5*l + 5*v = 5005. Calculate the greatest common factor of 189 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-63)\/2*(-8)\/(-6). Let u = d + 48. Let w(l) = 5*l - 12. Is 5 a factor of w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/274392 and -101\/888.\nAnswer: 274392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -i. Sort -5, 2, i in ascending order.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - 2*g + 2. Let t be r(-3). Let s be (-30)\/t*(-3)\/(-15). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 26*x + 850. What is the remainder when h(-27) is divided by 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 21044?\nAnswer: 21047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.57346 millilitres?\nAnswer: 0.07857346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3247878.\nAnswer: 2, 3, 107, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 27. Let u be h(0). Let k = -27 - u. List the prime factors of k + (-36)\/(-2 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*y**4 - 24*y**4 + 10*y**4 + (3*y - 5*y + 4*y)*(-2*y**3 + 3*y**3 + y**3) + 0*y**4 + 0*y**4 - y**4.\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 times -21?\nAnswer: -2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 + 20*z**2 - 17*z. Let h(x) = -x**3 + x**2 + x. Let s(t) = h(t) + n(t). Let q(y) = -y**3 + 4*y**2 - 3*y. Calculate -11*q(j) + 2*s(j).\nAnswer: j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 612 and 88152.\nAnswer: 4495752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 55*l - 499. Give g(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 15.3. Let g = -16.4205 - -17.11937. Let x = m - g. What is x rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97654 divided by -314.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4459173 divided by 3\nAnswer: 1486391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38658 and 5131.\nAnswer: -198354198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (225\/90)\/(5\/132) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:20 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 22*k - 7. Let r be g(-7). Suppose -2*i = 3*t - 51 - 5, -4*t - 4*i + 80 = r. Suppose -2*c = 2*c - t. Put -5, -4, c in ascending order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/(-1))*(-6)\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.14992ml to litres.\nAnswer: 0.08614992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/6)\/5*249345\/(-90) is divided by 232.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 80 - 104 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2318027187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 242.3 - 242. Let a = 159869\/9295 - -1\/1859. Let g = 283\/15 - a. What is the closest to 0.1 in g, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 182124000 to the nearest one million.\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**3*v**3*y**2 - 4*k**3*v**2 - 3*k**2*v**2 + k*v*y**2 - 11*v**3*y**2 wrt v?\nAnswer: 66*k**3*y**2 - 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*v + v, 4*r + 10 = 2*v. Let x be (-3)\/2 - 14\/r. Suppose -4 = -3*j - x*c, 2*c + 2*c + 8 = -2*j. Solve -3*i = -j*p + 9 + 8, -2*i = -2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7685 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g. Suppose 0 = -2*k + 5*k - 30. Let w be -3 - k*(1 + -2). Let d(r) = -r**2 - w*r + 7*r. Determine s(d(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:21 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69083 - 101796. Let f = -1471996\/45 - a. What is the common denominator of f and -13\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -489*h - 574*h - 1777 - 1247*h - 789*h with respect to h.\nAnswer: -3099","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81082351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11. Suppose j = -9*s + 6*s + 21. Suppose -3*k = -s*k - 46000. What is k rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - (112\/12 - 8). Sort g, 7, 4, 2.\nAnswer: g, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468663 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2272\/273 + 1\/91. What is the common denominator of p and -31\/203?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61354145*j**4 - 146550904*j**2?\nAnswer: -1472499480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Suppose n*o + 30 = -3*f, -3*o - 23 = -o + 5*f. Let x = o - -13. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o - 4. Let d(q) = 13*q + 5. Let i(r) = 3*d(r) + 4*k(r). Determine i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11786 + -598?\nAnswer: 11188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o + 5*c - 49, -5*c + 136 = 4*o. Let h(y) = -y**2 + 13*y - 2. Let s be h(14). Let d = o + s. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f + 12. Suppose d - 3891184 = -f*d. Let z = d - 1652796. Round z to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -5 (c) 5 (d) 1 (e) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-18))\/(y*y**(2\/3)*y)*(y*y**(-7\/2)*y*y)**(-27) assuming y is positive.\nAnswer: y**(179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1099281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -g + 9, 0 = 3*w - 2*w + g - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + 6 - 4*k + 2*k**2 - 6*k**2 + 0 - 9*k**3. Let j be c(-3). Suppose 3*a - 2*u = -3*u + j, 5*u + 163 = 2*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157110316 by -4.\nAnswer: 39277579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 4*m - 48 = p, 22 = p - 2*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(4*(sqrt(360) + sqrt(10))) + -2)**2.\nAnswer: -sqrt(11)\/7 + 3147\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) -0.17 (c) -1 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 2*p - 7, 3*v = -13*p + 18*p - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*t**3 + 0 - 1 + 32*t**3)*(-3*t**2 - 2*t**2 - 3*t**2).\nAnswer: 16*t**5 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 - 2*t**2 - 3*t**2 + 3 - 3 + (-5 - t + 5)*(-4 + 4 + t))*(0*t - t + 0*t)*(t + 7*t - t).\nAnswer: 42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5\/3, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/15 - r**5\/20 + 13*r**4\/6 - r. What is the third derivative of u(m) wrt m?\nAnswer: 48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 22. Suppose -p - p + 4 - t*p + 6*p**2 = 0. What is p?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1035590993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3975*t**6 - t**2 - 13*t + 43.\nAnswer: 477000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrjrjjjyrrjlrrlrrjrr. What is prob of sequence ljy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 17, 4, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 - 279*o - 25. Let j be w(28). Calculate the remainder when 58 is divided by j\/(-6 + (-516)\/(-80))*3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 450211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6171 + -3821. Suppose 4*b - 3*t = 2*t + n, 587 = b - t. Is (1\/(-1))\/((-9)\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.248 - 0.742. What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5298*n**3*p**2 - 11771*n**3*p + n**3 - 2026*n**2*p**2 + 4*n*p - 5*p wrt p.\nAnswer: 10596*n**3 - 4052*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/(-525)*18\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 124, 188, 268, 370, 500?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/9 + -26\/45. What is the closest to -2\/3 in p, 0.3, 3, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 2, b: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83267559629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -407*k + 21. Let n(w) = 3*w**2. Determine n(o(u)).\nAnswer: 496947*u**2 - 51282*u + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 118264200 to the nearest one hundred thousand.\nAnswer: 118300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.4 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.031 (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 - -225.895. Let h = 0.145 + k. Let d = h - 1.04000088. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3432274 equal to -3432539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*h + 5*u - 320, -4*h + 616 = 4*u. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68539964 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 + -414. What is the second biggest value in -54, -0.3, 0.2, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 177 = -21*s + 5*m, -5*s + 17 = -3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 - (5 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2*r*t*y**2 + p**2*r*t - 73*p**2*t + 161*p*r*t*y**2 - 5*p*t*y - 3*r*t*y**2 wrt p?\nAnswer: 4*r*t*y**2 + 2*r*t - 146*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzk. What is prob of sequence kz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6967845 and 2?\nAnswer: 6967847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j - 5. Suppose -5*l + c = -11 - 10, -4*l + 17 = -c. Calculate the lowest common multiple of 9 + (0\/(-2) - 1) and o(l).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 34, 77, 160, 295, 494?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.8. Let p = -0.2 + q. Suppose 0 = 9*d + 10*d. Which is the closest to p? (a) -2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 37874084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 24*a - 182. What is i(-6)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -76.2 (b) -1\/2 (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 15. Suppose -w - 1 = m. Let h = -8 + 13. Sort -4, h, w.\nAnswer: -4, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2520 (base 14) to base 11\nAnswer: -4976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124806*u**2 + 529*u + 89398559.\nAnswer: 249612*u + 529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28 + 74 - 36*c**4 + 81*c**4 - 43*c**4 + 1230*c**2 - 19*c wrt c.\nAnswer: 24*c**2 + 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473208?\nAnswer: 2, 3, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 4*o**2 - 7*o - 6. Suppose -30*p + 27*p + 189 = 0. Let x be p\/(-18) + (-3)\/2. What is z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 + 23660*v + 47328 = 0.\nAnswer: -2, 11832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185533.\nAnswer: 185533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 17354594 + 13377898. Suppose q + s - 490356 = 0. What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 834 = 3*r - z, 3*r = -z + 1261. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 557704.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/5)\/2 - -2. Sort 1\/12, -0.1, 0.4, p in ascending order.\nAnswer: -0.1, 1\/12, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - t + (-245 + 16 - 407 - 111)*(-3*t + t + t).\nAnswer: 746*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 divided by -3?\nAnswer: -1913\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 3*i. Calculate n(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-50))\/2 - (-16)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*t = -106*t - 952166. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69299624 < 69299624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-8) - 2) + 4033\/(-5772).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61193.93 millilitres to litres.\nAnswer: 61.19393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 19. Let l be -3 - (-8 + 3\/(-1)). Let k be v(l). Solve k - 1 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u - 281 - 51 + 334.\nAnswer: 61*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111010010111 + 11010110?\nAnswer: 11111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210212120 (base 3) in base 11?\nAnswer: 91788","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide -24796 by 4.\nAnswer: -6199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**4 - 4*d**4 + 9*d**3 - 14*d**2 - 9*d**4 + 0 - 5 - 6*d**3 to the form l + q*d**4 + k*d + h*d**3 + v*d**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, 3, -2 in descending order.\nAnswer: 3, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -16?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -3a7?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22881, 45758, 68631, 91500, 114365, 137226?\n\"Answer: -2*b**2 + 22883*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.16 - 1.16. Put -1\/3, 2, m in decreasing order.\nAnswer: m, 2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 2*a**4 + 2*a**4)*(-4 + 7 + 6 + (2 - 1 - 3)*(1 - 3 + 4)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o + 0*o + (-2*o + 4*o + 0*o)*(3 - 2 - 3) + 3*o + o - o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 + 277. What is the common denominator of ((-21)\/20)\/(3\/34) and ((-243)\/(-42) - b) + -8?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 16 + -25 + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s + 455. What are the prime factors of v(-29)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -846 divided by 69915?\nAnswer: -282\/23305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1 = -t + 21, -2*t = 5*v - 25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 303, 460, 617, 774?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 61. Let c(r) = 152*r + 33. Give m(c(g)).\nAnswer: 304*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1e9?\nAnswer: -1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 386 or 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c2 - 5?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282.09 meters in centimeters?\nAnswer: 328209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*c - 27*c**3 + 216 - 37*c - 39*c.\nAnswer: -27*c**3 + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 113.4898?\nAnswer: -680.9388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(9)*-1 - sqrt(9) - sqrt(9)) + sqrt(14))\/(sqrt(20)\/sqrt(40)))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 40 = -7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1453?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3688723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*r - 4, 17 = -2*u - 2*r + 21. What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 6)*(132429*c**2 - 132376*c**2 + 2 - 2).\nAnswer: -265*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**2 + 1 - 8*n**2 - n**3 + 5*n - 5 - 5 + 13*n**2 as q*n + p*n**2 + x*n**3 + t and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/4 - x**2\/2 + 23*x + 1. Let t be k(0). Suppose -t*y + 6 = -22*y. What is the least common multiple of 14 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(704) - (sqrt(704) + 1 - sqrt(704)))*1 + sqrt(176)*2*-1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111010100111 - -100?\nAnswer: 100111111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 16. Solve -16 = -b*i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73349895.4 and 59.\nAnswer: 73349954.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 126*t**2 - 129*t**2 + 2*t. Give k(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 8:18 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(5*(-8)\/(-20))*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w**2 + w. Let x be g(-2). Suppose -2*t + 9 = -5*i, -2*t + 4 = -2*i - x. Solve -3*m = -m - 4*n - 2, t*m + 4*n - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2151 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*p**3 + 3*p**2 - 188?\nAnswer: -63*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c. Suppose -2*d + 4 = p, -d - 3*p = -0 - 2. Let x(u) = -2*u**d - 5*u**2 + 3*u**2 - 2*u**2. Give o(x(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 239557 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 4 + 4 + (2*v - v + v)*(-6 + 4 + 4) + 4*v - 4 + 4 + 6 - 16 + 1 - v to t*v + j and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20445*f**2 + f - 7196.\nAnswer: 40890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1001245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 + 5.1.\nAnswer: 4.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = -22*i - 329 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7321.\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872)*1*-6 + sqrt(1872))**2 - sqrt(1872) - sqrt(1872))*4 + (sqrt(637)*1)**2 + (sqrt(468) + sqrt(468) + -4 - sqrt(468)).\nAnswer: -186567 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, 2\/55, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*w - 3*z, -5*z + 27 - 11 = w. What is the highest common factor of 448 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -303, 0, 1\/286, 4\/3, 96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**3 - 6*g + 4. Is n(4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -988673\nAnswer: -1\/988673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -3. Sort 9, s, 0, -2 in ascending order.\nAnswer: -2, 0, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + -20.31. Let g = -20.1 - j. Let d be 20\/24*(-8)\/30. Which is the nearest to g? (a) d (b) 5\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 2*k**2 - 5*k - 2. Let f be h(-3). Let y be (-6)\/(-4)*(-2 + 6). Suppose 0 = -l - 0*l + y. Solve 3*p = -6 - l, 0 = 2*x + 3*p + f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.111 + 0.111. Which is the closest to p? (a) -1\/7 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -b - 19*z - 2, -3*z + 6 = -4*b. Solve 4*t + 3*m - 16 = 2*t, b = -2*t + m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 14*u**3 + 68*u**2 - 130*u + 75.\nAnswer: (u - 5)**2*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 5980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 4785 - 510. List the prime factors of k.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -672034.1 and -0.6.\nAnswer: 403220.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6526930 and 23496948?\nAnswer: 117484740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to -24\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*t + 8*t - 6*t**3 - 2*t wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/44)\/((-45)\/(-80))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 21*r**2 - 19*r - 9. Let b(j) = 10*j**2 - 9*j - 4. Let q(l) = -13*b(l) + 6*g(l). Determine q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/60 + l**4\/6 - 3*l**3 - 6*l**2. Let i be t(-7). Solve i*h + 6 = 2*j + 28, 45 = 5*h - 5*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.02 (b) -2\/5 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.32 >= -0.4528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -53632274?\nAnswer: 53632273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0221539 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2. Suppose 3*r = 3*b + 3, -b = 7*r - 3*r + 11. Let l(w) = w**3 - w**2. Let f(v) = r*i(v) - 2*l(v). Differentiate f(u) wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c - 42. Give g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*z + 2*y, -8*y + 9*y - 4 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1099\/9972 - -1\/1108. What is the biggest value in w, 0, -209?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 15*j)*(516 + 498 - 122 - 134).\nAnswer: 11370*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 0 + 2*(-2*sqrt(52) + -3)).\nAnswer: 66 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7588 + -7586.7. Sort a, 1, 0, 2, -2\/11 in descending order.\nAnswer: 2, a, 1, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1, 5*s - 1 = -5*w + 4. Suppose 0 = -w*x + 5 + 11. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5967)\/117 - (1 + -2 + 3). Which is greater: -484\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400 (base 7) in base 4?\nAnswer: 120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60714, -61003, -61290, -61575, -61858?\n\"Answer: i**2 - 292*i - 60423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 9780.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -11 (b) 0.01 (c) 2\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-8))\/(6\/4). Suppose 5*z + 203 = 4*y, 2*y + 5*z - 94 = 15. Suppose 59 = -7*c + y. Is c >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Suppose l = -4*t - 1. Is (29 - t)*2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 35 = -5*c, -61*c - 23*c + 25*c - 29*c = -5*b - 616 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/7 + 0)\/((1674\/252)\/(-31)). Let k = 79 - 43. Suppose 3*w = 2*q - 37 - k, f*q = -3*w + 137. Calculate the greatest common divisor of q and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 8:01 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4265?\nAnswer: 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/(((-6)\/(-927))\/(2\/3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 9. What is the remainder when ((-6)\/t)\/(4\/20) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 3 (b) -1\/2 (c) -1\/8 (d) -2\/13 (e) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2)\/(2\/3). Suppose 3*v - 3*y = -y + 854, -4*y = -z*v + 862. Let j = v + -125. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 10. Suppose -6*q + 15 = -5*r - 5*q, 0 = q. Is v - r - -65*1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -27, -83, 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52041*m - 208166*m + 14*m**2 + 52043*m + 52040*m + 52042*m.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/1631701 and -31\/12717?\nAnswer: 132167781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1466*w + 32092 + 8190 = 2166 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/6, 0.0586, -1\/5, -0.6, 4 in descending order.\nAnswer: 4, 13\/6, 0.0586, -1\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24025925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3486, 5457, 7428, 9399, 11370, 13341?\nAnswer: 15312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from aooahakakihiaaki?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 3*s**2 + s**4 + 2*s**4)*(0*s + 0*s - s + (0 - 3 + 1)*(7*s + 3 - 3)).\nAnswer: -30*s**5 + 45*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.06 + 0.06. Let v = 359\/30 + -182\/15. Which is the nearest to 1? (a) v (b) 15\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.628 + -3.58. Let i = 3 + -4. Let o = m + i. What is o rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 229296 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/500 and -755 + 760 - (-28)\/(-10).\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5624 (base 7) to base 10\nAnswer: -2027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - 1. Let o(v) = -v**3 - v**2 - v. Let b(q) be the first derivative of 3*q**4\/4 + 4*q**3\/3 + 2*q**2 + 24. What is y*o(w) - 3*b(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 63*f + 24*f - 172. Which is the closest to -10? (a) f (b) -5 (c) 3\/5 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25612893 and 0.4.\nAnswer: 10245157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/44952 and 65\/516948.\nAnswer: 1033896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x. Let n(d) be the second derivative of -17*d**3\/3 - 44*d. What is a(n(m))?\nAnswer: 272*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-153)\/6)\/(-3). Let b = -10 - a. Suppose -2*u - b = -l + 3, -30 = -3*l + 4*u. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*u**2 + 100*u**2 - 200*u**2 - 811 + 85 + (0 + 3*u**2 + 0)*(3 - 3 - 1) to q + w*u**2 + n*u and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2547 = 4*x - 2551 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 7*p**2 + 3*p**2 + 8*p**3 + p**2 + 0*p as u*p + o*p**2 + w*p**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/15) + -28*(-205)\/1148.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 2. Let h be ((-6)\/18)\/(1\/i). Suppose -w - 3 = h*c - 4*c, 0 = 4*w - 2*c - 6. Solve 0*a + 2*a = -2*p + 2, 4*a - 4 = w*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-400)\/(-90) + 28\/(-63). Solve 4*n - 12 = r, 0 = -2*n + r - z*r - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1725 divided by 172.\nAnswer: -1725\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321112010 - 1020120?\nAnswer: -322132130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - r, r = 4*a - 32 + 41. Let q be 2\/6 + 70\/6. Sort a, -4, 0, q in decreasing order.\nAnswer: q, 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2\/15 (c) 2 (d) -4 (e) 340\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22e (base 15) to base 7.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*86\/4 - -2. Let b = r - -67. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/3)\/(15\/300285)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 993*b - 524*b - 469*b + 4*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o)*(-2 + 5 + 0 + (0 - 3 + 2)*(3 - 5 + 1) + 5 + 3 - 4)*(0*o + 4*o - o).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 + 4*k - 6. Let o be g(4). What is the least common multiple of 2 and (o\/3)\/(1\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*v - 480*v - 570*v.\nAnswer: -858*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3)\/(-21)*(-161)\/46.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 57*n = 30 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -294.\nAnswer: 11\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegeggggee. What is prob of sequence egeg?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.6, 0.4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1278253*-0.26\nAnswer: -332345.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 50. Let u = -17.8 - q. Let p = -1.2 + u. Which is the nearest to p? (a) 3 (b) -0.1 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -21\/2 (c) 1\/5 (d) -148 (e) -0.1 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 5 + 5 + (3*k + 0*k - 2*k)*(-4 + 2 + 4))*(1 - 14 + 7)*(28*k**2 - 6*k**2 + 19*k**2)*(-3*k - k + 6*k) + (4*k - 6*k + k)*(0*k**3 + 3*k**3 - k**3).\nAnswer: 1474*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 58 - 5350 = 0. Does 52 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:32 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/72644 and 75\/175768?\nAnswer: 25134824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:24 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77816807*p**2 + 60852291*p.\nAnswer: -155633614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42436 + 1?\nAnswer: -42435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 164\/32 + (-1)\/8. Suppose 0 = -2*z - s*m - 2, 5*m + 23 = z - 6. Let q = z - 7. Solve 2 + 2 = q*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -131*y**2 - 11*y - 13. Let f(t) = 65*t**2 + 6*t + 7. Let l(g) = 11*f(g) + 6*o(g). Let j be l(-3). Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150216, 150223, 150230, 150237?\nAnswer: 150244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47141339\/520 - -90657. Let b = q - 17\/40. Sort b, -0.0442, 1 in decreasing order.\nAnswer: 1, b, -0.0442","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*i**3 + 66*i**2 + 50*i**2 - 186*i**2 + 70*i**2.\nAnswer: 89*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55846, -106401, -156968, -207553, -258162, -308801, -359476?\nAnswer: -410193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491178485 less than -1574.16?\nAnswer: -491180059.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/36 - 0\/1. Which is the closest to -0.1? (a) -1 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0190826 rounded to 4 dps?\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -44. Let b be c\/(-5) - 4\/10. Let t be (-20)\/b*9\/10. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143847716?\nAnswer: 2, 35961929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002523 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -9, -0.4, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/9, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -291*w + 294*w - 5, 2*w + 3 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 = 4*x - 2*x, z + 6 = x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2422935)\/9729 - -232 - (-17)\/1.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -5 + (-14 - -11) + -39?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d = -51*d - 108 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -485480 and 8040?\nAnswer: 493520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -105, -208, -381, -648, -1033?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 3*w + 3. Suppose -4*r + 6*t = t - 25, -r + 4*t = -20. Let d(x) = -2*x + 25. Let c be d(r). Let o = c - 20. Give j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddebggggn. What is prob of picking 1 g and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/9, 1\/2, -6, -5.\nAnswer: -6, -5, -2\/9, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31230\/(-1388))\/((-18)\/20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1829*i - 1837*i - 7.\nAnswer: -8*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 + h + 4. Let u be (88\/(-33))\/(4\/(-6)). Give f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v + 149. Suppose -3*s = 2*s + 16*s. Does 15 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**2 + x - 18166. Let z(u) = -u - 9. Give y(z(j)).\nAnswer: -7*j**2 - 127*j - 18742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.798074\nAnswer: -0.3192296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35152 divided by 1352\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29915.6349 and -5.\nAnswer: 149578.1745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*p**2 - p - 19*p**2 + p + p in the form x*p + k + r*p**2 and give r.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**4 + 4*p - 4*p)*(-2 + 5 - 4) + 6*p**4 - 8*p**4 + p + 6*p**4 in the form g*p**2 + l*p**3 + k + b*p + s*p**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 + 34*a**2 + 11*a - 2. Let b(j) = 5*j**3 + 15*j**2 + 6*j - 1. Let h(m) = 5*b(m) - 2*x(m). Let l = -9 - -17. What is h(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3198)\/(-6))\/(3\/18) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 20. Suppose -3*c - 5*k + 12 = 0, -k = 4*c - 6*k - w. Solve 0 = -h + 2, 2*d + 7 + 1 = c*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -286 - -22.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/13*j**2 + 18\/13 + 12\/13*j**3 - 2\/13*j**4 - 12\/13*j = 0. What is j?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 774*j**3\/5 - 4642*j**2\/5 + 6954*j\/5 + 18\/5.\nAnswer: 2*(j - 3)**2*(387*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 6*l**5\/5 - l**3\/3 + 7. Find the third derivative of t(c) wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (7 + -1 + 3 + -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 772366609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, i: 11, r: 3, d: 3}. What is prob of sequence mr?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2382761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m**3 - 21*m**2 - 21. Let t(q) = 535*q - 254*q - q**2 - 281*q + q**3 - 1. Give -2*d(b) + 42*t(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-6))\/((-28)\/(-56))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*r - 54, -9*n - 22*r + 234 = -13*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685318 is divided by 228436?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018657460.\nAnswer: 2, 5, 1669, 30517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 104, -137, -476, -913?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3)*2\/6 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 13407*o - 120582.\nAnswer: -(o + 9)*(o + 13398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142.1 - -145.1. Put 14, i, -1 in descending order.\nAnswer: 14, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/3*p**3 - 1\/12*p**4 + 0*p + 0 - 2*p**2. What is the units digit of i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9432 + 9431.99. What is the smallest value in q, -52, 4?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351946*q**5 + 31*q**2 - 5748347*q - 1 wrt q?\nAnswer: -7038920*q**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 74*p**3 + 8*p**2 + 3*p + 11. Let y(n) = 73*n**3 + 10*n**2 + 4*n + 12. Let r(h) = -4*f(h) + 3*y(h). What is the first derivative of r(a) wrt a?\nAnswer: -231*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 46. Solve -a*p - 6*z + 3*z - 13 = 0, 2*p + z = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let w(i) = 258*i**2 - 2*i + 2. Let u(z) = 260*z**2 - 3*z + 3. Let n(h) = 2*u(h) - 3*w(h). Determine o(n(x)).\nAnswer: 508*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -548, -1106, -1670, -2240, -2816, -3398, -3986?\n\"Answer: -3*i**2 - 549*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.2428984 rounded to two decimal places?\nAnswer: 154.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 43*y - 26. What are the prime factors of s(3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3 = -5*y, 4 = -u - 0*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2 - (-3 + (1 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2911 + 2?\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l*l*l**(1\/4))\/l)\/l)\/l**(-14))\/(l**(2\/3)*l**(-1\/5)) assuming l is positive.\nAnswer: l**(887\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 17*t - 2. Let k be r(6). Suppose -y - 10 = 5*o, y + y + 2*o = k. Solve 3*f = 5*p - 35, -2*f = -4*f + y*p - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/1612 and -50\/6944093?\nAnswer: 27776372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**4\/24 + 3*b**2. What is h(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -94*u - 7. Let a(j) be the first derivative of 3*j**2 + 2508. Calculate n(a(r)).\nAnswer: -564*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 1:46 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 5*q - 2. Let o(h) = 6*h**2 - 6*h - 1. Let x = -8464 - -8461. What is x*s(w) + 4*o(w)?\nAnswer: 3*w**2 - 9*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(192) + sqrt(12) - sqrt(12))*-6).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 28, 35, 44, 55?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109530.9 litres in millilitres?\nAnswer: 109530900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)**(16\/5)*b\/((b*(b\/b**5)\/b)\/b*b)*b**(2\/5)*b assuming b is positive.\nAnswer: b**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2 - 10232*w = 0.\nAnswer: 0, 10232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 9*z + 18. Let v be i(-6). Let j(u) be the first derivative of -1\/3*u**3 + v*u - u**2 + 1. Let j(f) = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154314135 (base 6) to base 14.\nAnswer: -61972b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -125117, -250230, -375325, -500396, -625437, -750442, -875405, -1000320?\n\"Answer: u**3 + 3*u**2 - 125129*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87732*d + 87757*d - 175510*d.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - k = -55, -4*y + 2*k + 180 = -y. Let w = y + -81. Let v = w + 60. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407 + 525. Calculate the remainder when 353 is divided by a.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -17*k + 292. Calculate h(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172.35 + 169. Round d to one dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, u: 6, j: 8, k: 1}. Give prob of sequence jiu.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + 210?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from rrrrrrry.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/25505 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304\/140 + -2 + 21\/49?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8504 = 5*w - 9*w. Let k = -1246 + w. Calculate the common denominator of 31\/18 and 3812\/k - (-4)\/(-22).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 6*w**2 - 5*w - 9. Suppose -4*m = x + 28 - 97, x - 4*m - 93 = 0. What is the remainder when x is divided by n(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281\/14 + -158\/7. Let a(p) = 7*p + 9. Let u be a(-6). Let h = u - -28. What is the second biggest value in l, h, 12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzwu when four letters picked without replacement from {w: 2, u: 1, z: 6, m: 5, j: 1, f: 2}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-2) + 4614\/(-15)*-5. Suppose -5*y - 3*i + 0*i = -1922, -4*y + 2*i + o = 0. Which is smaller: 386 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:56 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 + 5 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1906857677.6 from -755.\nAnswer: 1906856922.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 937395300?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36\/5, -2, 19829?\nAnswer: 19829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8 + 6, 5*d = 5*l - 25. Solve -z + 12 = -4*k, -z - l = 22*k - 20*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -542?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2517)\/29365)\/((-1)\/(-14))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 197, -14, -0.16, -4, 24 in decreasing order.\nAnswer: 197, 24, -0.16, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x + 82. Let m be g(-7). Let k be ((-2375)\/m)\/19 + 3\/(-18). Factor 2\/11*n**3 + 0 - 4\/11*n**2 + 2\/11*n**k + 0*n.\nAnswer: 2*n**2*(n - 1)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4326107946+0.5\nAnswer: 0.0673892054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*l**2 - 14*j**3 + 3*j**2*l**2 + j**2 - 33*j*l**2 wrt j.\nAnswer: -6*l**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(567) + 2 - (sqrt(567) + 1*sqrt(567)*-1))*4)**2*4 + 1.\nAnswer: 2304*sqrt(7) + 36545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from ccccchrhhccrcrc.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1)*h)\/(h*h**(-20)*h)*(h**(2\/9)\/h)\/(h\/(h**17*h)) assuming h is positive.\nAnswer: h**(344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/17865672 and -11\/406038.\nAnswer: 17865672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/2)\/g*g**(-1\/7)\/g*g*g*g**(-10)*(g*(g\/(g*g\/g**(3\/5)*g))\/g*g)\/g*g assuming g is positive.\nAnswer: g**(-843\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d**3 + 31*d - 5. Let c(h) = -6*h**3 + 15*h - 2. Let w(p) = -5*c(p) + 2*z(p). Find the second derivative of w(f) wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74811 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and 99537.58721.\nAnswer: 99537.46721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 7*t + 9 + 13 - 28 in the form f + m*t and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -553 - -896. Does 49 divide (b\/(-2) + 2)*(-6 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11205, 13535, 15869, 18207, 20549, 22895, 25245?\n\"Answer: 2*t**2 + 2324*t + 8879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s. Let v(c) = -3205*c - 17. Let j(x) = 801*x + 4. Let m(t) = 17*j(t) + 4*v(t). Determine m(n(f)).\nAnswer: 4782*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4981 + 8cc4?\nAnswer: d645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17020*y**5 - 88*y**2 + 28*y - 6.\nAnswer: -1021200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226785595?\nAnswer: 5, 1409, 32191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - n. Let v(d) = 3*d**3 - d**2 - d + 1. Let i be v(1). Let q(b) = -b**3 + 2 - i - b + b**2. Determine q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 706283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 2285 and 2283 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 4*u + 1\/720*u**6 + 0*u**4 - 1\/360*u**5 + 0 - 5*u**2 + 0*u**3. Factor t(l).\nAnswer: l**2*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6886756942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 1048\nAnswer: 69\/1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*w - 511*w = -76. Calculate the least common multiple of 8 and w.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*i + 84, -13 = -h + 4*i + 83. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2 + u - 1. Let a(c) = -2*c**3 - 7*c**2 - 4*c + 4. Let n be (-15)\/(-180)*-6*-2. Calculate n*a(t) + 4*m(t).\nAnswer: 2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3413*j**5\/5 + 1120*j**2 - 3175. What is the second derivative of w(m) wrt m?\nAnswer: -40956*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*t + 57 = -6*n, 3*n - 86 = -5*t. Suppose -30*h = -n*h + 763. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -358 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 48 - (2 + 1 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/4)\/((-48031)\/172 - -279).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 694121457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1921, -7928, -17945, -31978, -50033, -72116?\n\"Answer: -b**3 - 1999*b**2 - 3*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946607.\nAnswer: 946607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 62*g**2 - 2345*g + 7640. Calculate k(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2586 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -272.17 and 2292378.\nAnswer: 2292105.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -177.9416?\nAnswer: 177.8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11402*t**2 - 7*t - 13. Let p(j) = 7*j**2. What is k(p(u))?\nAnswer: -558698*u**4 - 49*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 401 + -387. Suppose -15*b + 4 = -14*b. Solve b*q + y - 8 = 0, 0 = q + q + 5*y + k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 11500165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*u + 5*q, 0*q = -4*u + 2*q + 48. Let c = 18 - u. Solve 4 = c*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 4, e: 8, x: 2, z: 1, n: 4}. What is prob of picking 2 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 53*h**4\/4 + h**3\/2 - 6*h**2 + 11*h. Let w be t(7). What is w rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juofqououj. Give prob of sequence ou.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -2. Let z = 10092 + -10092.3. What is the fourth smallest value in 2\/9, i, 1\/13, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25602085 divided by -1506005?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 10 + 40 - 3*u**2 - 17 to the form c + q*u + a*u**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 5)\/(1 + 0). Suppose 2*f + 2 = t, 0 = -3*c - f - 3 + 2. Solve -j - 10 = 3*a - 2, 3*j - 3 = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 5, -4, -8 in descending order.\nAnswer: 19, 5, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*a - 113*a - 99*a - 116*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(900) + ((sqrt(900) + 3*sqrt(900) - sqrt(900))*5 - sqrt(900)) + sqrt(900))\/(sqrt(12) + sqrt(48) + sqrt(3) - 3*(sqrt(12)\/sqrt(4) - sqrt(3))).\nAnswer: -640*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/384 and -133\/192.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = d - 6, -d - t = -2. Let z = 124\/5 + -501\/20. Find the common denominator of z and 83\/d + 0*(-4)\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 44*s**2 - 13*s + 105. Determine w(-14).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, 44, 0, 280 in ascending order.\nAnswer: -18, 0, 2, 44, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h*h*h**(-14)*h**11 assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01940623898 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57997206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 254995133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*v + 12, 3*s - 51 = -v - 67 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 - -233. Suppose 0 = 40*s - 45*s + j. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592208 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 70. Let a(u) = -u**2 + 3*u. Let d be a(3). Suppose k + 0*k + 4 = d, -4*g + 4*k + w = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122.2 - 140. Round u to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -14*l + 16*l + 6, 5*l = 4*t - 15. Solve t = -20*s + 18*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-37)\/((-2960)\/(-192))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - 114824\/(-2170))\/(9\/(-390))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 19*x - 6. Let f be r(-16). Let b = 34 - f. Solve 9 + s**2 + 0 + b*s - 82*s = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000401 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29687 and 7359?\nAnswer: 22328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 4, -2795?\nAnswer: -2795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*a + 39. Factor 28*m**4 - 10*m**3 + 6*m**a + 0*m**5 + 29*m**4 - 55*m**4 + 2*m**5.\nAnswer: 2*m**2*(m - 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6862 + -3279. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let l(n) be the third derivative of -n**5\/120 + n**3\/2 + 3*n**2. Let q(b) be the first derivative of l(b). Give q(s(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 4*m + 4*m. Let f(x) = -4*x**2 - 10*x + 5. Let w(v) = -28*v**2 - 72*v + 36. Let b(t) = 36*f(t) - 5*w(t). Calculate a(b(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**3 + 2*b**2 + 4*b - 4. Let y(w) = w**3 + w**2 + w - 1. Let m be (2 + -1)*-2*2. Let v(s) = m*y(s) + i(s). Factor v(j).\nAnswer: 2*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, 5, 4\/9, -205\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k - 4*f + 22, 3*k + 3*f - 36 = 0. Solve -4*n = 4, -n + k = 5*w - 5*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -4*s**7\/21 - 7*s**3\/3 + 8*s. Find the second derivative of a(z) wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15150224 + 4?\nAnswer: -15150220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1183*n + 1489*n - 721*n as p*n + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10856, -27556, -44256, -60956, -77656?\n\"Answer: -16700*c + 5844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0 - 25. Suppose -3*l - b + 1 = b, 3*l - z*b = 8. Solve -3*s = -l - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1050421*b*g + 3*g + 253035 wrt b.\nAnswer: 1050421*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14552180\/9 or 1616909?\nAnswer: 1616909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = 0. Let d(t) be the second derivative of t + 0 - 1\/20*t**5 + 1\/6*t**4 + 0*t**3 + q*t**2. What is the third derivative of d(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 14 + (-2 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369776 and 9328.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -116*u**5 - 1616*u**4 - 6200*u**3 + 512*u**2 + 24620*u - 17200 = 0?\nAnswer: -172\/29, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.34323us in seconds?\nAnswer: 0.00005734323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 g when three letters picked without replacement from bglblbbbbblglmb?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 8 - (8 - 14744) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-2\/37))\/o*o)**45*(o**(6\/5)\/o)**(-44) assuming o is positive.\nAnswer: o**(15472\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = 49 - 9. Let r(g) = 162*g**2 - 4*g - 14. Is 55 a factor of r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-413)\/(-354)*((-6)\/(-28) + 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/11, -1, -5.83, 2, -1\/5 in increasing order.\nAnswer: -5.83, -1, -1\/5, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 19*j**2 - 16*j + 53. What are the prime factors of z(20)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/50)\/((-46)\/115). Put s, -5, -4\/3 in increasing order.\nAnswer: -5, -4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 3*i)*(8 + 4 - 3) + (-8*i + 3*i - i + 8*i)*(29 + 4 + 0).\nAnswer: 93*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*t**2 + 0)*(-54*t + 108*t**2 + 209*t**2 + 54*t) to the form i*t + o*t**3 + w + b*t**4 + g*t**2 and give b.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23143 (base 5) to base 14.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 749. What are the prime factors of 2*(-3 - v\/8)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 - 5249515*i = 0.\nAnswer: -1049903, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 - 3) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*u**3 + 2 - 904*u**3 + 451*u**3.\nAnswer: -44*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 1. Let s(m) = 7. Let j(y) = -2*l(y) + s(y). Let v(c) = 9*c - 11. Give -7*j(n) - 3*v(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2.8, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f**2 - 105*f**3 + 135*f**3 - 100*f**3 + 169*f**3 - 94*f**3 + 37*f**2.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -13. Suppose 154 = 4*n + 3*d, 0 = -2*n - 7*d + v*d + 82. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a factor of 2103556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 43 + 0*p + 1\/8*p**4 + 7\/30*p**5 + 0*p**2 - 2\/9*p**3. Find t such that n(t) = 0.\nAnswer: -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18876, 18891, 18924, 18981, 19068?\nAnswer: 19191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -17 - (-67 - -59).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6263600 to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, 1, 394, 2.\nAnswer: 1, 2, 5, 26, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 116 = -182. Solve -3*q - b = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(-4 + 3 + 2 - 10*q).\nAnswer: -10*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 6*v - 11*v + 17, 0 = 5*z + v - 19. Differentiate 12 + 23 - 2 - z - 62*c with respect to c.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12424, -48790, -109400, -194254, -303352, -436694?\nAnswer: -594280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (56\/(-6))\/(12\/(-18)). Suppose -n*d + 7360 + 7872 = 0. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7641774 days to weeks.\nAnswer: 0.1091682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:01 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47089067, -47089065, -47089063?\n\"Answer: 2*w - 47089069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -487 - 1076d?\nAnswer: -10c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5115 is divided by 5052.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5220931821.\nAnswer: 3, 7, 71, 500233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011010000212 + 10?\nAnswer: 22011010000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**2 + 2. Let u(a) be the first derivative of -a**6\/90 - 8*a**3\/3 + 3*a**2 - 15. Let d(i) be the third derivative of u(i). Give q(d(p)).\nAnswer: -128*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/41833440 and -52\/8757.\nAnswer: 292834080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 1687125.\nAnswer: 11809875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r - 1. Let h(i) = 7*i - 4. Let z(q) = -h(q) + 2*y(q). Let d(x) = -x**2 + x + 2. Let t be d(2). Give z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 2*t**2 - 2. Let x be v(-4). What is the common denominator of 33\/28 and x\/(-24)*(-4)\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198355784 - 287*x - 198355784 + 284*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvsbvvqeqvvqeseqv. Give prob of picking 1 q, 1 b, and 2 e.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t - 17. Let w(d) = 230*d - 161. Let k(x) = 38*j(x) - 4*w(x). Let y(m) = -11*m - 2. What is k(y(z))?\nAnswer: -330*z - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*l + 21 = 0. Let r = 11 - l. What is the highest common factor of r and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49 + (4\/(-4) - -2) + -2. What are the prime factors of (-24)\/(-6*3\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2 + 0*n + 1\/4*n**4 + 0 + 2*n**3 - 1\/4*n**5 = 0 for n.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 71 + 11. What is the third derivative of 11*g**2 - 21*g**6 + o*g**2 + 13*g**2 wrt g?\nAnswer: -2520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 76?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 - 65*z**2\/2 + 64*z + 364. Determine v, given that d(v) = 0.\nAnswer: 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33401100 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 619.916395 to one dp.\nAnswer: 619.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - -10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22884268 to the nearest integer?\nAnswer: 4784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 2*u - 24.\nAnswer: (u - 4)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8)*(-5)\/((-10)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.4. Let d(w) = -2*w + 4. Let x be d(3). Let o be (-11)\/(-5) + x + -1. What is the closest to i in -0.1, -2, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**5 - 92*v**4 + 168*v**3 - 80*v**2 - 32*v.\nAnswer: 4*v*(v - 2)**3*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1850 - 1407 - 3465 - 5112 + 2175 - 7400)*(-y + 3 - 3) to the form z + d*y and give d.\nAnswer: 13359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 449240.\nAnswer: 449240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.5 (b) -2\/7 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1112 and 107\/2502?\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*i + 13 = 7*i, -4*i = 20. Let h = -30 - -20. Let y be v\/1 + h\/2. Solve y*p + 17 = -0*p + 3*m, 2*m = 3*p + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + -1 + -3 + 0)*6.\nAnswer: -24 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72187, -72190, -72193, -72196, -72199, -72202?\n\"Answer: -3*r - 72184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 + 4*i**2 - 8*i. Let c(q) = q**3 + q**2 - q. Give -4*c(d) + u(d).\nAnswer: d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126480 and 4654960?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.43 + -12.73. Let n = 5 + -7. What is the closest to 1\/5 in d, n, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 + -158. Let j be 0\/(h + 3 + -1). Solve 4*x - 5 = -4*l + 7, j = -2*l + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 11*d - 5111*d**3 + 5106*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/20)\/13*165\/44.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27054 by 3.\nAnswer: 9018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*y**2 + 82*y**2 - 10*y**2)*(15*y - 4*y + 0*y) to the form f*y**3 + b*y**2 + h + u*y and give f.\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 225 - 10. Find the common denominator of n\/(-33)*(-9)\/6 and -31\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0 - 4*w + 1\/2*w**2 - 11\/3*w**3. What is the tens digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, r: 7}. What is prob of picking 4 r?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 3, 4, -1\/10, -9 in ascending order.\nAnswer: -9, -1\/10, -0.09, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692, 3054, 6992, 12506, 19596?\nAnswer: 28262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10*x + 9*x - 67 = 0, -5*x + 17 = -d. Is ((-2112)\/d)\/(3\/39) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 5?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 3*n**2 - 48*n + 350*n - 1.\nAnswer: 3*n**2 + 273*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(70\/(-48)))\/((-132)\/55 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -612, -456, -302, -150, 0, 148?\n\"Answer: -u**2 + 159*u - 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148235 is divided by 2118?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 16\/12223695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n - 0, -3*n + 33 = 3*o. Let f(k) = k**2 - 10*k + 14. Let i be f(9). What is the lowest common multiple of 7\/(21\/6) + i and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**7*f**1\/(f*f**(-4)) assuming f is positive.\nAnswer: f**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 954 + -897. Suppose -485*w = -466*w - y. What is h in 2\/5*h**w + 18\/5*h + 12\/5*h**2 + 8\/5 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43803, -84395, -124989, -165585, -206183, -246783, -287385?\nAnswer: -327989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17455114, 17455112, 17455110, 17455108, 17455106, 17455104?\n\"Answer: -2*m + 17455116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804 + 4392 = -168*p - 4811 + 431 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - m**2 + m + 3. Calculate w(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2 + 4368*l + 26100 = 0.\nAnswer: -1450, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -133. What is the closest to -2 in -1\/5, -1\/11, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52) + -1 - sqrt(52))**2 + (3 + -1*sqrt(13) - (sqrt(13)*-1)**2*-5).\nAnswer: -sqrt(13) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*w + 5, -19 = 4*p - w + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - 15*s - 9. Let g be v(-7). Which is greater: 343 or g?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62444 or -62442?\nAnswer: -62442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2214082 by -1.\nAnswer: -2214082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, y: 2, x: 3, e: 3}. Give prob of picking 1 y and 1 l.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86861.7157 + 84039.718757. Let r = t - -2822. Let h = 0.003 - r. 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 -255005 divided by 516?\nAnswer: -255005\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176200?\nAnswer: 2, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 17.6227.\nAnswer: 123.3589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + u**3 - 3*u**2 + (5*u**3 - 2*u**3 - 6*u**3)*(1 - 1 + 1) + u + u**3 - u - u**3 - 3*u**3 + 2*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18773*n**4 - 1270*n wrt n.\nAnswer: -225276*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-43))**46 assuming w is positive.\nAnswer: w**2024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcy when three letters picked without replacement from ycmccxeyeyyeyygmmy?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 112112311030 (base 4) in base 3?\nAnswer: 102000202100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-8)*(-1368)\/(-171)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = c + 1512. Let a(n) = 1 + c*n**2 - 58*n**2 - 51*n**2. Let i(m) = 12*m**2 + 7*m - 5. Let q(z) = -22*a(z) - 2*i(z). Find t, given that q(t) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**(2\/7)*r)\/r*r)))\/r**(-5))\/(r**(2\/9)*r)**(-10) assuming r is positive.\nAnswer: r**(1166\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (7 - 3) - (16 - (-19 - 16))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 + -0.04. Let m = -2.5 + 0.5. Let j = m - -6. What is the nearest to 1\/4 in j, d, -3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15336 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18*t**3 - 17*t**2 - 11*t - 17. Let b(f) be the third derivative of f**6\/20 - f**5\/10 - f**4\/6 - f**3 - 2*f**2 - 71*f. What is 17*b(x) - 6*h(x)?\nAnswer: -6*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + j**2 - 2*j**2 + (3*j - j - 4*j)*(0*j - 8*j - 12 + 6*j)*(-1 - 4 + 3) + 1 - 1 + j**2.\nAnswer: -8*j**2 - 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 166372248 and 12880?\nAnswer: 1663722480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 359193 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(150)\/sqrt(3) + -1.\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -593, -4, 1713, 4552, 8507, 13572?\n\"Answer: -b**3 + 570*b**2 - 1114*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**2\/2 + 1513. Let x(k) = 2472*k**2. Give x(c(h)).\nAnswer: 2472*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 6*q - 1. Let m be ((-8)\/10)\/((-2)\/15). Suppose 0 = s - r + m*r - 30, 0 = 2*s + 5*r - 35. Calculate o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*q**2 + 607*q**2 + 1878*q**2 + 1 - 1 - 3702*q**2 + 622*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {v: 11, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 18 + 36\/6. Suppose -5*d + 3*u = -86, -d - l + 34 = 5*u. What is the greatest common factor of 264 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*x - 159*x + 703 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 180176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.6. Which is the smallest value? (a) -0.5 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2307*d*n**2*p**2 - d*p**2*w + n**2*p**2 - 3*n**2 - 2*p*w wrt d.\nAnswer: 2307*n**2*p**2 - p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643652 divided by -5073?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 176, 250, 300, 314, 280, 186, 20?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 + (0 - 0). Suppose 39 = 6*c - 201. Let v be 150\/c - 1\/(-4). Sort v, i, 0 in increasing order.\nAnswer: i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7113\/(-2371))\/((24\/(-56))\/(-1*2\/(-2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.9 and 22845.\nAnswer: 1414105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 7*y - 6. Let p be g(-9). Suppose -h = -5*h + p. Suppose h + 5 = d. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 2*s. Suppose d - 15 = -s. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90151990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39431.\nAnswer: 7, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.6 - -33. Let s = 2.4 - f. Let a = s + -1.999928. Round a to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746636298 to the power of 1\/2, to the nearest integer?\nAnswer: 27325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x**3 - 914*x**2 - 9*x + 7. Let n(b) = 32*b**3 + 2741*b**2 + 29*b - 23. What is -13*f(y) - 4*n(y)?\nAnswer: 2*y**3 + 918*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/160 or 0?\nAnswer: -27\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a44359 - -10?\nAnswer: -a44349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 52 = 2*n. Suppose -z + n = 9. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 14*g - 14. Let w be u(-15). Suppose w + 7 = -4*x. Let s be x\/4*30\/(-5). Solve -12 = -3*v + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-273) - (1 - (-2841)\/(-39)). Let i = 89 - 81. What is the highest common divisor of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, p: 3, h: 2, a: 2, i: 3}. Give prob of picking 1 a, 1 h, and 2 i.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 48. Let z = -5 + l. Let i be 3 - 0*1\/3. Solve -1 + z = -i*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r - 7. Let n(m) = -2*m. Let z be n(-1). Suppose -x + o = -5*x - 22, -3*x - z*o - 19 = 0. What is q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**5\/20 + m**4\/3 - 35*m**2 + 19*m - 3. Let n(i) be the first derivative of b(i). Differentiate n(u) with respect to u.\nAnswer: -3*u**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (3 + -3)) + 1. Suppose -141 = -x*b - 57. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6061 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 190.5 and 0.3.\nAnswer: 57.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -168, 5, -280, 0.29?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 8*o - 2*n - 10 = 0, 0 = -0*o + 4*o - 13*n - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*b + 2*b. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k = -16*k + 240 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1574 = -10*b + 1524 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11285 is divided by 1599.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.379157 centuries to decades.\nAnswer: 3.79157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3478556 and 1084?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94.98 and 10782159.\nAnswer: 10782064.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 5, 3\/2, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 52 = 0. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:11 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - b**3 + 10 + (2*b**2 - 5*b + 5*b)*(b - 5*b + 3*b) + b**2 - b**2 - b**3 + 4*b**3 - 4*b**3 + b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 1456432962?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311*h**5 + 231*h**5 - 837*h**5)*(-9 - 1 - 7).\nAnswer: 5015*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5151, -10640, -16129, -21618?\nAnswer: -27107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 14*t - 3 to the form a + p*t and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58654 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258678 or 258690?\nAnswer: 258678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = h + 15*j + 60, -11 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keek. Give prob of sequence kek.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, -7, 6, 3, 49 in ascending order.\nAnswer: -7, 3, 6, 49, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2290 and 30.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858, 643, 254, -327, -1118?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39532 is divided by 130.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/40*(-9 + -1). Suppose 4*y = r*b + 31, 3*y - 42 = -2*y + 3*b. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmxrrmxmuumxa. Give prob of picking 1 u and 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74729?\nAnswer: 74729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67125250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 202502*q\/3 - 1282633.\nAnswer: (q - 202521)*(q + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*j - 90*j + 17220. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196 + 170 - 106)*((2*a - 4*a - a)*(2 + 1 + 9) + (-2 - 2*a + 2)*(5 - 2 - 1)).\nAnswer: 5280*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 57\/2, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6533788 is divided by 1633410?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1a96?\nAnswer: -1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -122082?\nAnswer: 47\/122082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 111.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose -161 = -4*l - 3*o - 34, 0 = -l + c*o + 13. Suppose -7*h + l = -14. Solve 3*i - 4*k = 1, h = -2*i + 2*k + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 16 = 44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3935 and 3921 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 4*q**2 + q + 3. Let c(k) be the third derivative of -k**6\/20 + 11*k**5\/60 + k**4\/12 + 4*k**3\/3 + 524*k**2. Give -4*c(t) + 11*o(t).\nAnswer: 2*t**3 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 4*c + c + (-4*c + 2*c + 0*c)*(-2 + 0 + 0) + (2*c + 0*c - c)*((2 + 1 - 2)*(-2 + 4 + 0) + ((2 - 3 + 0)*(2 - 4 + 5) + 1 - 4 + 7)*(0 + 3 - 1)).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.006, 28.6, 0.64?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276c (base 15) to base 3.\nAnswer: -102120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -116*a - 20 - 80*a - 27*a. Let j be t(-10). Round j to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 40 - 7*m - 6 + 10 + 20 as p*m + f and give f.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441 + 6*f + 441)*(2 + 3 - 4 + (-3 + 1 - 2)*(-1 + 1 + 1)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6590.6181 or -0.3?\nAnswer: 6590.6181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9283 is divided by 9275.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-7 - (-13 - -15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5054 = -11*x + 5847. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g**1\/g*g*(g**0\/g)\/g*g**(3\/4)*g)\/((g**2)**(-2\/145)*(g\/((g*g*g*(g\/g**(-1\/2))\/g)\/g))**8) assuming g is positive.\nAnswer: g**(3931\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234698091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 7907134 = 2826510. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4 - 6 - 4*q + 10. Let c(l) = 2*l**2. Determine c(p(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.8 - 26.8. Put r, 0.1, 1.79 in decreasing order.\nAnswer: 1.79, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*i - 12 = 0, -s - 5*i = 2*s + 2. Let p be -1*(3 + 10) + (-3 - s). Let k = p - -37. What is the highest common factor of k and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 - 8*g + 4. Suppose 4*m + 5*p + 12 = 43, 4*m = 4*p + 76. Calculate the smallest common multiple of m and a(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 - 3*v. Let s(f) = 163*f + 166*f - 323*f. Calculate s(c(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -526 + 666. Suppose 5*c + 37 = 2*y + 789, c - 3*y = g. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*z = 1, 3*k - 5*k - z = -13. Solve 0*o**2 - 2\/3*o**k - 4\/3*o**3 + 4\/3*o + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/89 in 2\/57, -0.2, 0.2?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/6 + 19 + -9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -0.03. Let g = -0.01 - w. Let y = 0.15 - g. Which is bigger: 2\/3 or y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-30)\/(-40) + (-21)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*c - 55, -4*w + 11 + 9 = 0. Calculate the remainder when 145 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101110010100111 (base 2) in base 10?\nAnswer: 646311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 13. Let r = 3 - l. What is the biggest value in r, -1, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 9. Suppose -k = 3*u - 0 - 3, -3*u - 3*k = -3. What are the prime factors of u\/o + 46\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sal. What is prob of sequence asl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let l be -2*(1 - (-1 - -3)). Let v(b) = b - 3. What is l*o(g) + v(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Suppose -4*u + 368 = 4*i, -5*u + 566 = 2*i + 100. Let v = u - 92. Let m(a) = -v*a - 624 + 624. Determine m(t(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m = -31*m + 49*m + 1863. Put m, 5, -26 in increasing order.\nAnswer: -26, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -6*q**5\/5 - 424*q**4\/5 - 326*q**3 + 48420*q**2 + 32400*q = 0.\nAnswer: -45, -2\/3, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) + 6\/(-27). Are 4\/3 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-5)*135\/1. Suppose 279 = 4*b + j - 31, 5*j = 3*b - 244. What is the highest common factor of b and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(8\/3))**(-47) assuming o is positive.\nAnswer: o**(-376\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:56 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.1 + 11. Let r = j + -3.9. Let v = -35\/2 - -18. Which is the closest to 0? (a) 0.4 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 1. Suppose 0 = -5*x + i + 19. Suppose 2*p + x = 6*p + n, 0 = -3*p + n + 18. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -524\/1285 + 2\/257. What is the third biggest value in -2, -3\/7, r, -1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -54. Let r = k + 10. What is the third smallest value in r, -0.4, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 1161.\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/7589351?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -0.1 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157765227 and 36579.\nAnswer: 157765227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1))\/(-3)*1. Suppose v + 3*v = n. Suppose -o = -v*o - 55. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*z = 2*a + 9517, a = -2*z + 1901. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (10 - (-13 - -54)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 781969, 781966, 781963, 781960?\n\"Answer: -3*j + 781972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*v + 31, 32 = 7*i - 12*i + 4*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -2, -113, -3, 5.\nAnswer: -113, -3, -2, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -2*4\/2. Let p(r) = -r**3 - 2*r**2 - r + 2. Determine p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2022 + -2022. Let p(r) be the third derivative of -1\/200*r**6 + 0*r - 11*r**2 + 0*r**4 + v + 0*r**3 + 1\/50*r**5. Factor p(g).\nAnswer: -3*g**2*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3124 (base 12) to base 5\nAnswer: -132411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2049\/(-12) - (-25)\/(-20)). Calculate the greatest common divisor of m and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:09 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892694663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -16. List the prime factors of (-52)\/o + 3\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j**2 - 9*j**3 - 13*j**2)*(-3*j**2 - 2 - 2*j - j**2 + 3*j**2).\nAnswer: 9*j**5 + 18*j**4 + 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*q**4 + 4*q**3 + 132 wrt q.\nAnswer: 524*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/4 + v**3 - 3*v**2\/2 + v - 1. Find m, given that c(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 20*f**2 + f + 1. Let d(n) = n**2 + n. What is -2*d(t) + v(t)?\nAnswer: 18*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2448)*1 + (-4 + sqrt(2448)*3)**2 + -3.\nAnswer: -252*sqrt(17) + 22045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d**2 + d. Let a(o) = -69*o - 11654. What is a(c(j))?\nAnswer: -1104*j**2 - 69*j - 11654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 1935 = 2*d. List the prime factors of d.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 - n**2)*(-6 + 7 - 3*n + 10).\nAnswer: 3*n**3 - 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*l**3*m + 83902*l**2*m + 311*m - 13549 wrt l?\nAnswer: 81*l**2*m + 167804*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*w + 52 = 192*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(2) + sqrt(5))**2*6 + 0)*-4*-3.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 212929499*y - 212929499*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*k + 15445 = 2950, r = 3*k + 6231. List the prime factors of r.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 127 and 4273.\nAnswer: 542671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i**2 - 8*i - 16. Let r be q(-2). Let j = -44 + 108. What is the greatest common divisor of j and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 - 296. Let p = k + 349. Calculate the remainder when p is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-1))\/(18\/12))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*h - 53*h + 38*h)*(-4 + 4 - 2*h).\nAnswer: 122*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (-6 + 5)\/(2\/(-16)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*u + u. Let p = u + -3. Let l = 12 - p. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -42, -2, -15, -1, 94 in decreasing order.\nAnswer: 94, 31, -1, -2, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 600 - 313. Let x = 142 - k. Let h be 2\/(-10)*x\/58. Which is the third smallest value? (a) 0.05 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75153027 is divided by 5965?\nAnswer: 5957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14212828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.3 + -23.2. Let u = -7.9 + v. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1354476?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.078, 0.05, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 - 4. Let i = 0.7 - z. What is the smallest value in -1, i, -3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70223697 is divided by 39652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 45. Let z(j) = -4*j + 2. Calculate -l(b) + 3*z(b).\nAnswer: -19*b + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 + 11*i**3\/6 + 2*i**2.\nAnswer: -i**2*(i - 12)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(-q + 7 - 7)*(26 - 69 - 48) + (-3 + 5 + 0)*(0*q + q + 0*q) to u*q + b and give u.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 195, 605, 1405, 2727, 4703, 7465?\nAnswer: 11145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*f + 2*f + 3*f)*(3 - 4 - 2) + 6 - 6 - 5*f)*(-4*f**3 + 0*f**3 + 3*f**3)*(0 + 2 + 3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2)*1952\/(-183)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718980 is divided by 6657.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*z - 134*z - 32 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 + 2*r**2 - 3*r - 11. Let j be d(-4). Suppose -j = -30*z + 35*z. Let v = z - -45. Is v equal to -1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10857483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*k**5 + 10\/3*k**3 + 2*k**4 - 11\/3*k - 2 + 0*k**2 = 0 for k.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288 * 114890.\nAnswer: 33088320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/28874 and -99\/115496.\nAnswer: 115496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4\/5 (c) -2.5 (d) 0.2 (e) -1\/534 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 393 = -0*z - n, -5*n - 795 = -4*z. Suppose -45 - z = -3*y. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*l - 4699, l - 6*l + 3*u = -4664. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4937981\/6192030 + 3\/79385. Let j = -1\/390 + v. Let w = 0 - 0.1. What is the nearest to w in j, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -43, 4, -5 in decreasing order.\nAnswer: 4, -2, -5, -8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-17)\/t*t**(8\/11) assuming t is positive.\nAnswer: t**(-190\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9413 - 9410. Which is the second biggest value? (a) -5.6 (b) 0.4 (c) 10 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442027 (base 11) to base 7.\nAnswer: -5665506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 388 + 372. Solve -a - y + 2 = d, 3*a + 5*y + 28 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42268.317 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2)*g)\/(g*g**6))\/((g**0*g)\/g*g\/g**(2\/3)))**(12\/13) assuming g is positive.\nAnswer: g**(-88\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26993?\nAnswer: 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (66\/(-8))\/((-2)\/(-8)). Let x be 39\/d - 4\/(-22). What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -96, 3952, 6 in descending order.\nAnswer: 3952, 6, -9, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/20 + i**4\/3 - 4*i**3\/3 - 7*i**2. Let c be g(-4). Let p(k) = -2*k - 11. Let w be p(c). Are -27 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 + t - 7. Let m = 43 + -43. Determine g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1344?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 + 541*a**2*h + 839*a*h wrt a?\nAnswer: -12*a**2 + 1082*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7*z - 2*z + 15 = 0, -4*z = 5*j + 10. Find the third derivative of 5*k**2 - 28*k**j - 46*k**5 + 17 - 30 - k**3 + 14 wrt k.\nAnswer: -2760*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let z(y) = 6*y**2 + 16. Let x(b) = -b**2 - 3. Let v(g) = 16*x(g) + 3*z(g). Calculate f(v(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4946 divide 1886655054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let c(y) = 1338*y - 280*y - 8 + 4 + 4. Calculate c(o(b)).\nAnswer: -3174*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 + 3*q - 1. Give m(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*a + 4*a**3 - 14*a + (-a**2 + a**2 - a**3)*(0 + 4 - 6).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 42*d = 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504975167 and 542.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/93, -5\/9, -4\/7, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 44*s**2 - 47*s - 129. Give o(-21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -9*s. Let d = 5 - 0. Solve 0 = s*w + d - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 11:11 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(((w**(-14)\/w*w)\/w)\/w)\/w*w\/w**14*w assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 - 3*v**2 + 7*v - 5. Let p be m(2). What is the units digit of 2\/(-3)*(-51)\/(-34)*p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36289140 or -36289146?\nAnswer: -36289140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 8*m - 12. Give k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1049*q**2 + 4*q + 19. Is z(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(612)*2 + sqrt(612) - (sqrt(612) + -6*(sqrt(612) - (sqrt(612) + -1))))*-4)**2 + -5 + (sqrt(612) + ((1*sqrt(612))**2 - sqrt(612)) + -5)*-4)*4.\nAnswer: -55296*sqrt(17) + 5632764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 1523 + 3*k**2 + k**3 + 1521 - 10*k + 2*k**2. Let f be h(-6). What is the fourth smallest value in 3, 3\/4, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {x: 1, u: 1, k: 2, a: 1, r: 1, j: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - j**2 + 1)*(-j + 3 - 3) + (-2*j + 2*j + j**2)*(2*j - 1 + 1) + 32*j**3 + 170*j**3 - 14*j**3 as m*j**3 + n + f*j + h*j**2 and give m.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -186*o**2 + 191*o**2 - o - o. Suppose 2 = -3*a + 8. Let v(n) = -16*n**2 + 7*n. Give a*v(w) + 7*j(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30515066.532 - -0.8.\nAnswer: -30515065.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379170 is divided by 126387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*k**3 + 375*k**3 + 327*k**3 + 2*k + 0*k - 2*k.\nAnswer: 49*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3 in decreasing order.\nAnswer: 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13134 = -p + 13647 + 3319. Calculate the highest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-14)\/(-6)) + 1539\/63. Let z = h + -22. Calculate the greatest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392423.8us to seconds.\nAnswer: 0.3924238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*s - 167*s - 285*s + 790*s - 173*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13147 (base 8) to base 15.\nAnswer: -1a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (7 + (-12 - 8) - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 8*w**2 - 1 + 3 - 3 to b + x*w + k*w**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129696\/13 or -9977?\nAnswer: -129696\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-7) + (-332)\/(-14) is divided by -21*6\/63*-7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -367, 5, 2, -18 in decreasing order.\nAnswer: 5, 4, 2, -18, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 9:14 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 7*z**2 - 9*z + 3. Let p be v(5). Let l(f) = 62 - 31 - p*f - 31. Let m(q) be the third derivative of -q**5\/60 + q**2. Determine l(m(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 67542356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 - 8*u - 12. Let d be j(-5). What is the third derivative of 0*y**6 - 7*y**6 - 25*y**2 - y**2 - 3*y**6 + 2*y**d wrt y?\nAnswer: -1200*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1619057.9921 + 1618924. Let x = -49 - -183. Let b = p + x. What is b rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1022 - 1021.9. Which is the closest to 1? (a) q (b) 1\/6 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 26*o**2 + 13*o**2 + (0 + 0 - o**2)*(-3 - 2 + 4) - o + o**2 + o)*(-3*o + 2*o + 5*o).\nAnswer: 128*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 31084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*g + 4 = -4, 0 = 2*m - g - 10. Suppose -2*s + 124 = -l, -m*l - 311 = -5*s - 2*l. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 14. Calculate h(-27).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -12*g**3 + 10*g - 10. Let q(d) = 4*d**3 - 3*d + 3. Give -10*q(r) - 3*x(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d - 2*d - 3*d)*(d - 3*d + 0*d) - 987 - 2*d + 171*d**2 + 987 to g*d + s + f*d**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s - 3*s)*(3*s**4 - 9*s + 9*s).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**2*m*s - 18*f**2*m - f**2*s + f**2 - 3*f*m + 3*m*s**2 wrt s.\nAnswer: 4*f**2*m - f**2 + 6*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.66067 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 + 9*s**2 - 7*s - 4. Let n(k) = -11*k**3 + 18*k**2 - 16*k - 7. Let t(j) = -9*h(j) + 4*n(j). Give t(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*f = -287, 4*r = r + f + 168. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*(-1495)\/299\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d**3 - 185*d**2 + 203*d + 763. Determine a(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewgf when four letters picked without replacement from cfffttcfecwgccewcw.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-16)\/(-336))\/(-6)*20\/(-25).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a factor of 136478687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**3 - 18. Let h(n) = 10*n**3 - 19. Let x(a) = 3*h(a) - 4*r(a). What is the first derivative of x(d) wrt d?\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2\/11, 1, -20, 2\/61 in decreasing order.\nAnswer: 13, 1, 2\/61, -2\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34020 and 1505.\nAnswer: 1462860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3) + 3 - 1. Suppose -h = 4*h - 3*p - 81, 0 = -2*h - a*p + 48. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108161 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5766099 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252546 and 31353?\nAnswer: 377051178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 163799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 74. Suppose 0*h - z = -9*h. Solve -h*a = -3*o + 22, 3*o - 3*a + 6 = 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 9 - 12. Let z(o) = -11*o**2 + r*o + 5*o**2 + 5*o**2 + 7 - 42. List the prime factors of z(15).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + -4 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5930 + 698 = -y, -5*u = -3*y - 19828. What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755 - 179 = 8*p. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11150, 11148, 11146?\nAnswer: 11144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10114 (base 7) to base 15\nAnswer: -ae1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -14. Let c = 0.9 + 0.1. Let o = n + c. What is the nearest to -2 in 0, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*1\/((-3)\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x - 20. Let m be p(5). Suppose -m*g - 3*y = -20, y + 0*y + 4 = g. Solve r - 25 = -g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 75*s**2 - 7*s + 17. What is the tens digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - -39 - ((2 - 1) + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/183 and (7 + 1194\/(-180))\/(2\/22).\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 22. Is (-71)\/(-2) - 3\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(3 + (sqrt(275) + sqrt(275) + -1 - sqrt(275))).\nAnswer: -20*sqrt(11) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 2. Let i be l(2). Let m be 2 + (-3)\/9*0. Let s(k) = m*k + k**2 - 4*k + 7*k - 9 + 1. Calculate s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 19*o**2 + 4*o**2 + (3 - 6 + 1)*(-o**2 - 2*o**2 + 8*o**2).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 9 - 19. Put -10, t, -1 in increasing order.\nAnswer: -10, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 14. Let h be y(-8). Let j be (6\/9)\/(h\/120). Let o(i) = i**3 - 9*i**2 + 8*i + 4. Let c be o(j). Solve -2*f + c = -6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960173190 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**4*n*n**(-4\/5))\/((n\/(n\/n**(-2\/3))*n)\/(n**(-6)*n))*n**1\/(n*n**(2\/3))*(n**(1\/4)*n*n)\/((n**(1\/4)\/n*n*n)\/n) assuming n is positive.\nAnswer: n**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -599\nAnswer: 29351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1)\/((16 + 2)\/(-6)). Let j(n) be the second derivative of 4*n + 2\/3*n**3 + k - 1\/2*n**2 - 1\/20*n**5 - 1\/12*n**4. Determine j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*sqrt(720)*-2 - sqrt(720))*2*5 + 3)**2.\nAnswer: 5040*sqrt(5) + 3528014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 491 - 476. Let w(l) be the first derivative of 29*l**3\/3 - l + 1. What is the remainder when w(-1) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {u: 5, m: 3, q: 1, h: 1, f: 1, z: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 21. Let g = 10 - y. Let k = g + -0.999995. Round k to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13744127387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3353, 9729, 16103, 22475, 28845, 35213?\n\"Answer: -a**2 + 6379*a - 3025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 4}. What is prob of picking 4 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r - 14, -2*h + 22 = -r + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 711169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 326.\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -5\/2, -22, -28 in decreasing order.\nAnswer: 1, 0.2, -5\/2, -22, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x**2 + 4*x - 4. Let j(w) be the first derivative of w**3 - 3*w**2\/2 + 3*w - 21. What is -4*j(m) - 3*p(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280055*m + 99 = -280091*m - 45 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**3 - 24*f**3 + 14*f**3)*((-4*f + 3*f - f)*(3 - 1 + 1) + 6*f - 8*f + f).\nAnswer: 126*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 3876.\nAnswer: 170544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 3. Let f be r(-5). Suppose -4*t + f*t = -6. Suppose -2*v + 20 = t*v. Calculate the least common multiple of v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = -2*c + 111*z, -2*c - 4442*z + 4443*z = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241630747 a multiple of 4347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 750766?\nAnswer: -1\/750766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*u = -0*u - 31, -4373*u - 4379*u + 8747*u = -140 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68700 and 6183?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 45652026?\nAnswer: 45652023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 50 = 12. Let l be -1*4 + 2 + j\/(-9). Suppose 3*m - 4*k + 89 = 0, 0 = -m + 2*k + 15 - 48. What is the second biggest value in m, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 111\/8, -1\/5, 4, 3, 0.2, -4, -1914?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g. Suppose -3*k + 11 + 9 = -2*d, -5*k - 4*d = -4. Give x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**4\/7 - 104966*k**3\/7 - 98325006*k**2 + 4478591248*k\/7 + 344478752 = 0.\nAnswer: -13124, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 647.2 + -647.7. What is the fourth smallest value in 2, 1\/4, 3, z, 2\/43?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89114 - -1?\nAnswer: -89113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 26332?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907979?\nAnswer: 167, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 2, m: 7, n: 1, p: 8}. Give prob of picking 3 m and 1 p.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -112, -11 in decreasing order.\nAnswer: -11, -53, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*r - 13314 = -126*r. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22211, -22122, -22033, -21944, -21855?\nAnswer: -21766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -2 (c) 0.2 (d) 2\/13 (e) 6.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffp when three letters picked without replacement from {f: 3, q: 4, p: 11}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(959\/(-274)*(-4)\/7))\/((-2)\/(-6))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(-44)*v**(2\/23)*v**(-37)\/v**(-3\/5) assuming v is positive.\nAnswer: v**(1114\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/3 + 34*m**4\/3 + 50*m**3 + 206*m**2\/3 + 88*m\/3 = 0. What is m?\nAnswer: -11, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - c + 6, -4*c + 4 = -2*v - 0. Suppose 18 = v*t - 0*t. Calculate the remainder when 15 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cylljlc. What is prob of picking 2 c and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -46243*t**2 + 92472*t**2 - 46231*t**2. Let d(p) = 221*p**2 + 13 + 264*p**2 - 13. Determine d(m(f)).\nAnswer: 1940*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16732 (base 8) to base 10.\nAnswer: -7642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 13802?\nAnswer: -13817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 144716 and 0.88529.\nAnswer: 144716.88529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82010*g**3*s*t + 2*g**3 + 2*g**2*s + 6*g**2 - 2*g + 3161*s wrt t.\nAnswer: -82010*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + -107. Let h = g + 131.62. What is h rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - x**2 + x**3 - 5 + 7 - 3*x**4 + x as z*x**3 + d*x + r*x**4 + m*x**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 15 = 37*i. Suppose -2*g + i*h = -113, -7*g + 187 = -3*g + 3*h. Does 49 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {c: 1, g: 2, n: 1, f: 4, j: 3, u: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -57, -125, -221, -345?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 0 - 6 + 2 + 11*g. Let d(h) be the third derivative of -h**4\/24 + h**3\/6 + 16*h**2. Let j(y) = b(y) + 4*d(y). Let o(c) = c. Calculate j(o(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3672 and 820746.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20699 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18353, -18352, -18349, -18344, -18337?\n\"Answer: t**2 - 2*t - 18352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 1 + 5*w + 6 + 0*w**3 - 5*w**2 - 4*w. Let k be (1 - 2)\/(3\/15). Give n(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + 4*l + 12. Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 174*m**2 + 194*m - 3634. Determine a(173).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -75*v**2. Let n(c) = -15680*c**2. What is n(w(o))?\nAnswer: -88200000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/14127 > -53\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 1. Let v be 19\/2 + (-9)\/6. Suppose -v = -3*h + 7*h. What is l(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5915243 millennia in years?\nAnswer: 591.5243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-17)\/(-1122))\/((-18)\/(-495)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30d8a (base 15) in base 8?\nAnswer: -456462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 1:40 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/352 and 9\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*i = -4*i, -2*i = 3*u - 20. Suppose 0 = -4*l - u*j + 11*j + 6051, -5*l + 4*j = -7550. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1218224 or 0.014?\nAnswer: 0.1218224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 46, 55, 64, 73, 82?\n\"Answer: 9*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167275 is divided by 155.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 496 + 496. Let f(x) = 2*x. Give q(f(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2412.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**5\/210 - h**4\/14 - 9*h**2\/2 + 13*h - 185. Let w(u) be the second derivative of y(u). Find s such that w(s) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256682 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1122566 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.8218 tonnes to micrograms.\nAnswer: 62821800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -228*o. Let t(d) = -110*d**2. What is t(m(f))?\nAnswer: -5718240*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -15 (c) 1 (d) 0.02 (e) -2 (f) -0.6 (g) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + d**2 + 15*d**2 - 43*d**2 + 23*d**2 + 2*d - d**2 - 2*d - 4*d**2 + 0*d**2 + 3*d**2 + (0 - d + 0)*(0*d - d + 3*d) + 2*d - 2*d + 2*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 225 = 4*n, -3*n + z = 2*n - 255. Let k = n + -49. Suppose -5*b + r = -8, -1 = -r + k. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1187 + 3900. Suppose 5007 = 8*c - q. Let o = c + -226. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(132) + (sqrt(132) - -2*sqrt(132)*-2))*2)\/((sqrt(120) + -1*sqrt(120))\/sqrt(10) + sqrt(972)*4).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -44. Let b be ((-1)\/(y\/9))\/(6\/30). Which is smaller: -2\/7 or b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*y + 19 = -0*y, -5*u + 3*y = -37. Let l be u - (-4 + 7)\/1. Suppose -5*k + 5*a = -3*k - 17, 0 = -3*k + l*a + 28. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1*-4 - (0 + -1 + sqrt(3)).\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-1)*(-6)\/(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -31, 30, 165, 398, 753, 1254, 1925?\nAnswer: 2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c + c. Let n(o) = 4*o**3 + 3*o**2 + 6*o - 2. Let u(h) = -h**3 - h + 1. Let v(d) = c*n(d) - 6*u(d). What are the prime factors of v(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)\/(8\/48). Suppose -i + 0*i = -12. Let c = i + y. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -155, -574, -1253, -2186, -3367, -4790, -6449, -8338?\n\"Answer: i**3 - 136*i**2 - 18*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-50)*-1)\/(20048\/(-25060)) - (-74)\/120\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 5*v**2 + 3*v + 7. Let h = 14 + -8. Let k(f) = -3*f + h + 1 + 4*f - 3*f. Let n be k(6). Give g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5740\/31691 + -2\/2881. Sort w, 0.3, 28 in descending order.\nAnswer: 28, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 53274.0224 + -53188. Let k = -214 + 128. Let j = k + u. What is j rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524768101647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 13*c + 35*c + 13*c + (1 + 0 - 3)*(-2*c + 0*c + c).\nAnswer: 65*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 349777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2 + 3. Let h = z + 9. What is the least common multiple of h and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 5, -5, 2.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423 is divided by 1506?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*y + 12, -4*l + 5*y - 6*y = -3. Suppose -n = 2*d + 2, 2 = l*n - d + 6. Let w be 14*n\/(-8)*2. Solve 0 = 3*t + 16 - w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - 10 + 10)*(0 - 5 + 3) + 3*x - 6*x + 4*x to l*x + a and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1627130.5 + 1622625.9186. Let i = -4504 - v. Round i to 2 decimal places.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 370027.787 to the nearest 100.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 10*c**5 - 5*c**3 + 7*c**5 + (c - c + 2*c)*(2*c**4 + 0*c**4 - 4*c**4) + 50*c**5 - 865*c**2 + 865*c**2.\nAnswer: 43*c**5 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135056264 + 1458202480472\/10797. Let g = -8\/183 - x. What is the common denominator of 37\/9 and g?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 6 + 67 - 1 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 880844\/(-314580) - 1\/(-5). Let p = g + 137065\/31458. Find the common denominator of p and (-2)\/(-4) + 8\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(20) + 1 + -4).\nAnswer: -24 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*v**3 + 3\/2*v**2 + 0 - 9\/2*v + 1\/2*v**4 = 0. Calculate v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 41*g**2 - 25*g + 44. What is y(41)?\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 + 33*m**2 - 9*m. Let h(n) = -n**3 + 8*n**2 - 2*n. Let o(f) = 9*h(f) - 2*z(f). Let y be o(6). Let t be (2\/3)\/(2\/3). Is t bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 1, r: 1, t: 2}. Give prob of sequence rvth.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 22 + -1 - -19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1338\nAnswer: 267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-9))\/(-4))\/(-1*1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4301454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - z + 7 = -2*z, 15 = -5*z. Let f be (-1 - d)\/(8\/(-48)). Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 470 - 32. Let k = x - 1480. Round k to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171.04 - -166. Let n = x + 0.04. Let v = -5.0000031 - n. What is v rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l - 5*l**3 - 34*l**3.\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284 divided by -4?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2886, 2888, 2890, 2892, 2894?\nAnswer: 2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 892, 887, 868, 829, 764, 667?\n\"Answer: -n**3 - n**2 + 5*n + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 2}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148.5 + -258.5. Which is smaller: l or 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6167, 7669, 9171?\n\"Answer: 1502*t + 4665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-48) + (-24)\/(-64)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/3 + 64*z**3\/3 - 86*z**2. What is the derivative of o(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 423 = 629. Let k = p + 376. Let q = k - 78. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/((8381\/34)\/(-17))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 7. Let d(u) = 9*u**2 + 2*u**2 - u - a*u**2 + 3*u - 19. Let m be d(-7). Solve 4*z = -x + m, 0 = 2*z + z - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -2. What is the second smallest value in m, 5, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3\/11 - 600*w**2\/11 + 28998*w\/11 + 92340\/11 = 0.\nAnswer: -342, -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 1. Let f(b) = -b + 2. Let y = 1198 + -1202. Give y*f(u) - 5*q(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 941331, 70\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o = 0. Suppose 2*z + r + o*r = 6, -2*z - 4*r + 18 = 0. Does 4 divide z + (-2*23*-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 18173910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g**(-6))**(-2\/33)*g**(3\/7)*g*g*g*g*g**(1\/4)*(g**0)**(-42) assuming g is positive.\nAnswer: g**(1329\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(210\/14 + -17). Solve -3*k - 9*u + 12*u = -18, 3*u + 3 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:27 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 1. Let t(a) = a. Suppose -16*q + 18 = -21*q - g, 5*q - 3*g = -26. Give q*t(n) - 3*r(n).\nAnswer: 3*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -62 + 76. Suppose 43 = 19*r - y. Solve -r*m + 20 = 2*h, -2*m - 3*h + 11 + 9 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-6)\/(-3) - 6 - -256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 13) to base 11.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.420837 days to nanoseconds.\nAnswer: 468360316800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**4 + k**3\/2 - k**2\/2 + 4*k. What is the common denominator of s(2) and 4\/10 + 31\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 - -270?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 23479426*v\/13 + 23479424\/13.\nAnswer: 2*(v + 1)*(v + 11739712)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/3 (c) -0.5 (d) 530\/21 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*m + 643 = -1124, -3*g + 1041 = -4*m. Let v = g + -348. Solve 3*q + 18 = v*s, -3*q = -q + 5*s + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f = 36*f. Sort -22, f, -1.\nAnswer: -22, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29102?\nAnswer: 2, 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -348 + 343. Suppose 8*x + 28 = 4. Let h = -15 - -16. Put x, b, -4, h in ascending order.\nAnswer: b, -4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 564151 and -14.\nAnswer: 564137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -528, -695, -1000, -1443?\n\"Answer: -69*q**2 + 40*q - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5076985.\nAnswer: 5, 929, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.72 - 0.28. Does -1 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjo when four letters picked without replacement from {p: 8, o: 2, j: 5}?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*l = 9 - 1, -2*i + 5*l = -13. Suppose 0*a = i*a + 64. Suppose 2*r = 5*o + 61, -1673*o + r - 38 = -1670*o. Is a equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 14.1 (c) 3\/5 (d) 0.03 (e) -0.06 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1591559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97589 - -97591. Factor -2\/9*b**m + 16\/9 + 14\/9*b.\nAnswer: -2*(b - 8)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8.69, 0.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 2\/29 (c) 7 (d) -3 (e) 32\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 70*t**3 + 5*t + 40. Let r(l) = 35*l**3 + 2*l + 20. Let w(d) = 9*r(d) - 4*z(d). Differentiate w(b) with respect to b.\nAnswer: 105*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 2*sqrt(88)*-1 + sqrt(88))\/(sqrt(1152) - (sqrt(1152)*2 - sqrt(1152)) - sqrt(1152) - sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588472 divided by 8?\nAnswer: 448559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4316395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 4933*o - 32 + 13.\nAnswer: -4933*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*r*v**3 - 29*r*v**2 + r*v - 2*v**5 - 4*v**4 - v**2 wrt v?\nAnswer: -192*r - 120*v**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 413214140?\nAnswer: 413214143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1368 - 2740?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 5*w**2 + w + 7. Let x be y(-5). Suppose -4*z - x*z + 48 = 0. What is the lowest common multiple of 5 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/((5\/5)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d32 (base 14) to base 6.\nAnswer: -1122024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006 = 4*p - 1350. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -18 + 34 - (3 + -1 + -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1\/(-5))\/(12\/(-40)). Are -11\/27 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*z + 346 = 354, 15*z - 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**5\/13 - 32*t**4\/13 + 54*t**3\/13 - 20*t**2\/13 - 24*t\/13 + 16\/13 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7071 divided by -3\nAnswer: 2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**6)**(5\/11)*(v*(v\/(v*(v*v**(-1\/53)\/v)\/v))\/v)**(-12) assuming v is positive.\nAnswer: v**(-5273\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/4))**(24\/11)\/(d**(-2\/7))**32 assuming d is positive.\nAnswer: d**(830\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208.04 - -208.14. Which is greater: -526\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*j**3*l**2 + j**3*l - 181*j**3 wrt l.\nAnswer: -342*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-176) - 11) + (0 - -14).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmn when three letters picked without replacement from {h: 1, i: 4, c: 1, n: 8, m: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2419999*k - 4. Let i(a) = 1. Let q(y) = -5*i(y) - w(y). Let z be q(1). Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9981599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-8*6\/(-720)*(-1)\/(-240)*54?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 48*s**2 + 722*s - 1583. Determine t(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7347, -7363, -7379, -7395, -7411, -7427?\n\"Answer: -16*l - 7331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/6*(1 - -2). Let p(g) = -3 - g - 7*g + 10*g**2 - 4*g**2 + g**3. Let v be p(c). Solve 3*s + 2*m + v = 13, 0 = 4*s - 2*m + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 0.8 (b) 0.5 (c) -5 (d) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2100))\/(sqrt(6)\/sqrt(2)*1) - ((sqrt(7) - -3*sqrt(21)\/sqrt(3)) + sqrt(343)*-1)**2.\nAnswer: -63 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 415114.3 times -6\nAnswer: -2490685.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411 times 7.6?\nAnswer: -10723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (553293 + (2*-12)\/(-8)). Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -521*g - 3. Let b(i) = 4*i**2. What is b(h(f))?\nAnswer: 1085764*f**2 + 12504*f + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*378\/(-2450)*5)\/((-6)\/(-14)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 0, 164.\nAnswer: 0, 1, 65, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160875602003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -56.88735\nAnswer: 113.7747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7032 = -2*o, -4*v + v - o = -10528. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from knilldflilnlll?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 1, -0.5, 0, 10\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 11*f**3 - 5*f**3 + 13*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 87, 136, 187?\n\"Answer: r**2 + 44*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -10)\/3 + (-250)\/35. Which is greater: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 - 312428*v + 10310142\/11.\nAnswer: -2*(v - 3)*(v + 1718357)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*t - 21 = 0, 0 = -7*o + 13*o - t - 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccmm when four letters picked without replacement from {c: 14, m: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 5*t - 34 = 0, -4*s = -5*t - 11. Calculate the lowest common multiple of 4 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:57 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b44 (base 13) in base 12?\nAnswer: -623b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 2*n**7\/7 - n**6\/15 - 2369*n**3\/6 + 6*n**2 - 94*n. Differentiate r(j) with respect to j.\nAnswer: 240*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 29. Let o(j) = -8*j - 8. Let u(l) = 17*l + 17. Calculate x*o(b) - 6*u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7 + 2, 0 = 3*f + k - 3642. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 13*a - 3 = -2*j + 10*a, j + 4 = -2*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177 + 182. What is the third derivative of 68 - i*v**5 - v**6 - 35 - 2*v**2 + 2*v**5 - 24 wrt v?\nAnswer: -120*v**3 - 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a7a - 159?\nAnswer: -3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 16) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-1980)\/243 - 8\/(-36))\/((-55)\/165).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 1, s: 1, m: 1, u: 1}. What is prob of sequence uqx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1450?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + o + o, -5*h = -o. Suppose h = v, -12 = -n - 0*n + v. Solve -6*a + 4*a = -p + n, p = -a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:16 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25258.\nAnswer: 2, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5447 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16057 = 5*j + 2*f, 9632 = -29*j + 32*j - f. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/35 + (-60)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*f + 2*f + 409*f + 728*f = 166290 for f.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 25*h. Let o(w) be the first derivative of -1\/2*w**2 + 0*w + 28. Determine d(o(s)).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2\/4 + 226443*x\/4 - 283035 = 0.\nAnswer: 5, 75476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Divide 678217168 by 1.\nAnswer: 678217168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*z - 2*z - 6*h, 115*h = -2*z + 122*h + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 10. Let n = -56 - -68. Let u be o(n). Is 2*1 - -6*(-1631)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/26 + 797\/26 and -43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2172839 + 0?\nAnswer: -2172839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 17*o**5\/20 - 9129*o**2 + 2*o. Let x(s) = 9*s**2. Give x(k(z)).\nAnswer: 23409*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 3\/4, -0.2, -2 in descending order.\nAnswer: 3\/4, -0.2, -2, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - 0.15. Let d = -2.6 + 2. What is the second biggest value in d, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:47 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16357, 17219, 18657, 20671, 23261, 26427?\n\"Answer: 288*f**2 - 2*f + 16071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3018 + 852 = -38*f. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 13 - 22*n**3)*(-7 + 4 - 9)*((-5 + 2 + 1)*(1 + 4 - 3) - 2 - 3 + 4) to w*n + u + g*n**3 + t*n**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*k - 9154, 1823 = x - 12*k + 10*k. List the prime factors of x.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -16 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 15084.\nAnswer: 1523484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3, 0.16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**7\/2520 - 7*d**6\/720 + d**5\/20 + 3*d**2. Let z(i) be the third derivative of g(i). What is the units digit of z(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1194968, 0.5 in ascending order.\nAnswer: -1194968, -0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -38. Solve 3*j + i = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 - 5?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.3 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 40*i - 120 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(704))**2 - (sqrt(11) - (sqrt(66) + (-2*sqrt(66) + sqrt(66) - sqrt(66)) - sqrt(66))\/sqrt(6)))*5.\nAnswer: -15*sqrt(11) + 31680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 1, o: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.639 - 0.939. Let b = -37 + t. Round b to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6469444 is divided by 323447?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-256)\/40 - -6)\/(2\/(-20)). Which is the nearest to -1? (a) 5 (b) 2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846696 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1666 = -3*k + 3*a + 182, 3*a - 9 = 0. List the prime factors of k.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224671176?\nAnswer: 2, 3, 23, 135671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 26*s + 198 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(51)\/(sqrt(3)*-1) + 5.\nAnswer: 5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18.116 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/69 (c) -73 (d) -5 (e) -0.039\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.077, -2\/7, -1\/8, 0.2?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 < -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 2\/1823 (c) 3 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 2068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4096 = -228*h - 6164 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584 is divided by 628?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16983.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-86)\/215*(10\/(-9))\/(-2). Which is the nearest to -0.1? (a) 1\/4 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - 3*z. Suppose 9 = -3*s - 297. Calculate the remainder when (3\/(-9))\/(1\/s) is divided by x(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*r**3 - 48*p**3*r**2 - p**3*r + 2*p**2*r - 5952*p**2 + 2*p*r**3 wrt p?\nAnswer: 6*r**3 - 288*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 10359\/1348?\nAnswer: 10359\/1348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 81 - 21 = 0. Let m(q) = 7*q**3 - 6*q**2 - 7*q + 9. Let s(l) = l**3 - l**2 - l + 1. Let j(o) = -o - 21. Let w be j(-20). Give a*s(u) + w*m(u).\nAnswer: -u**3 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 0.2 (b) 0.5 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 - m**2 + 4*m - 4. What is the least common multiple of 5 and g(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:35 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, u: 1, o: 5, n: 4, b: 1, t: 3}. Give prob of sequence no.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527749529.\nAnswer: 19, 1657, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - -4.03. Suppose -2*f - 3*f = 2*g - 5, 3*f + 5*g - 22 = 0. Let k be 1\/(-3)*(1 - f). What is the smallest value in k, y, 1, 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7. Let f be b(3). Let z(r) = -11*r**2 + 5*r + 5. Let y(q) = 32*q**2 - 16*q - 16. Let x(d) = f*z(d) + 5*y(d). Let m(c) = c. What is x(m(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/8 and 103\/4648?\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.61817 - 309.16317. What is z rounded to the nearest integer?\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122130310 (base 4) to base 10.\nAnswer: 894772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3319 - 64725. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*i = 145, 4*i + 21 = 5*s - 115. Suppose -s*b + 27*b + 31 = 0. Suppose -161 - b = -4*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g\/(g**(1\/3)\/g)*g))\/g)\/(g*g\/(g*g*g*(g\/g**1)\/g)))**(2\/5)*(g**1*g**(-2))**(-4\/11) assuming g is positive.\nAnswer: g**(-10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.82264813 rounded to one dp?\nAnswer: 31.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 75*n + 26*n + 6 to the form r + o*n and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*m - 27, 2*o = 4*o - 4*m - 16. Calculate the smallest common multiple of 22 - 35\/(-7) - o and 87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let a = -1 + c. Let y = 1617 + -1609. Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028463 times -0.37?\nAnswer: -0.01053131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 2070?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-10)*((-2542)\/123)\/62?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -23*p**6 + p**2 + 9. Let w = -3 - -7. Let h(f) = 11*f**6 - 4. Let j(o) = w*t(o) + 9*h(o). What is the third derivative of j(n) wrt n?\nAnswer: 840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 561 = -4*o + 601, -y + 14 = 5*o for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -121. Let g(q) = -4*q**3 - 4*q**2 + 9*q + 4. Let f(a) = -6*a**3 - 6*a**2 + 14*a + 6. Let z(i) = h*g(i) + 5*f(i). Find r such that z(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 20 = 2*i + 6, i - 7 = -2*g. Suppose 0 = -n + 1, -4*m - i = -5*n + 22. What is the remainder when 28 is divided by 3\/m - (-21)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3496454752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -55*b + 53*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 554 + 770 = 0. Sort 1, -1, x in increasing order.\nAnswer: -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, 1, 2\/17, 54, 0.9?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*t + 2)*(t**2 - 3149 + 1576 + 1576) to v*t + y + f*t**2 + r*t**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5109 and 10338.\nAnswer: 17605614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r. Let b(x) = 2*x**2 - 6*x. Let c(m) = -b(m) - 2*g(m). Factor c(a).\nAnswer: -4*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147852 - i**2 + 472*i + 860*i + 10*i**2 - 5*i**2 - i**2.\nAnswer: 3*(i + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 38*f**3 + 5*f**2 + 5*f + 5. Let a(l) = -285*l**3 - 38*l**2 - 38*l - 38. Give 5*a(v) + 38*t(v).\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 311441.6, 7?\nAnswer: 311441.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.44.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 0*l**3 + 1\/12*l**4 - 28 - 11\/120*l**6 + 0*l - 3\/20*l**5 + 6*l**2. Let u(h) be the second derivative of m(h). Factor u(v).\nAnswer: -v*(v + 1)*(11*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 144, 0.5, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:29 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1744 and 40657?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3914172, 3914183, 3914198, 3914217?\n\"Answer: 2*z**2 + 5*z + 3914165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/23? (a) 1\/5 (b) 0 (c) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 - 35 = 0. Suppose 2*r + 3*i + c = 0, -i + 37 + 3 = -5*r. Is -7 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*v + 17*v - 824 = -6*v. Sort v, -55, 2\/13, -0.5, -2 in descending order.\nAnswer: v, 2\/13, -0.5, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*h - 5*y - 1, -2*y - 3*y = -4*y + 2*y - 4*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 + p - 1. Let w(s) = -39*s**3 + 2*s**2 + 3*s - 3. Calculate -3*h(u) + w(u).\nAnswer: -36*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y + 7. Let a be b(0). Suppose m = 1 + a. Solve 3*t + 2 = -2*u, t = -0*t - 5*u + m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2, -76 = -m - 2*q - 2*q. What is the remainder when m is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 37. Let p = 12713 - 317768\/25. What is the common denominator of (-321)\/24 + m*(-8)\/(-12) and p?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/(65\/(-70)))\/(6\/9). Suppose 3 = -m, -25*m + 222 = 3*i - q*m. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 1442*d**2 - 4294*d + 2820 = 0.\nAnswer: 705\/721, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 0. Find the second derivative of 3*q - 2*q**4 + m*q**4 - 3*q - 4*q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*d = -6*d - 1069, -636 = -3*h + 3*d. Let q = h + -138. Calculate the remainder when q is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163.849 - 164. Let k = 21.849 - u. Let p = -24.9 + k. Is p at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:57 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6732 and 391?\nAnswer: 154836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 677 + -667. Solve -5*f - 5*l = -r, -f - 5 = -3*l + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -5 - (6 - (3 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2457 = -2*j - z, -2*j - 4*z = 32 - 2474. Suppose 3*g + 5*l - j + 234 = 0, -5*l - 20 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4225, -18997, -43615, -78079, -122389, -176545?\nAnswer: -240547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53538598?\nAnswer: 2, 3191, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69171 or 69170?\nAnswer: 69171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 838081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2531 is divided by 1265.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*o + 369*o - 2*u = -4*u - 4, 8*o = -4*u + 40 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028008739 is divided by 979.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3141*d**3*j**3 + 2*d**3*j - 12*d**3 - 7633*d**2*j + d**2 + 136*d*j**5 - 2 wrt j?\nAnswer: -18846*d**3*j + 2720*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*20\/(-175)*25\/(-10). Solve -c*v = -3*d - 15, -5*d - 3*v - 9 = -v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9*c)**6\/(((c\/(c**(-21\/5)*c*c))\/c)\/c*c**(1\/28)) assuming c is positive.\nAnswer: c**(8227\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 351.88311+0.3\nAnswer: 352.18311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*6*2\/8. Suppose -d*j + 290 = 5*l, 5*l - 287 = -3*j + 3*l. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1027\/6 + -171. What is the closest to 2 in l, 16, -4\/7, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/(a**(-16\/7)*a))\/(a**2*a**(-16)) assuming a is positive.\nAnswer: a**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 677761025, -0.4?\nAnswer: 677761025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76, 181, 284, 385, 484?\n\"Answer: -n**2 + 108*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 266927250088910?\nAnswer: 266927250088910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + (-65)\/10)*-2. Sort l, 53, 19.\nAnswer: l, 19, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0468754 and -1.\nAnswer: -0.0468754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4446, -4446, -4456, -4482, -4530, -4606, -4716?\n\"Answer: -w**3 + w**2 + 4*w - 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -236857 + -1?\nAnswer: -236858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 165. Let a(n) = 15*n - 439. Let y be a(30). What is the highest common divisor of y and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182356314 to the nearest integer?\nAnswer: 13504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16269803.\nAnswer: 11, 1479073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s + 5*n = -43015, -3*s + n = 25797. Round s to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17\/3)\/((-1)\/66). Let b = -154 - d. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (-8)\/(7 - -1). Let d be 204\/b + (-9)\/(54\/4). What is the highest common factor of 594 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 94, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4 and 53\/674.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 3\/(-7) + (-9184)\/(-392) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5499 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3062 - 6363\/2. Let n = k - -119. Sort 0.12, 0.4, -1\/4, n in descending order.\nAnswer: 0.4, 0.12, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009403175 rounded to six decimal places?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -16310 smaller than -48928\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 114 + 46. Let z be (2088\/r)\/((-3)\/12). Suppose -z = -4*a + 107. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 - 10*p - 20. Let y be r(-5). Suppose 6*v = f + 8*v - 10, -f = -y*v + 11. What is the highest common divisor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: -201414111 (base 6) to base 12\nAnswer: -119a337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s - 1\/3*s**4 + 0 + 0*s**2 - 118\/3*s**3.\nAnswer: -s**3*(s + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(6 - 0)*0\/(-2). Suppose -3*m + 10 + 5 = w. Let n(t) = 7*t. What is the least common multiple of n(1) and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1162 and 6643154.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 - -370.4. Let r = -97 + y. Suppose 0*m - 45 = 5*m. What is the third biggest value in 0.3, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32756*-0.055.\nAnswer: 1801.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.445 - 87\nAnswer: -87.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/154*7728\/4692?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/2, -1\/4, -6\/11, -16 in decreasing order.\nAnswer: -0.1, -1\/4, -1\/2, -6\/11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 17 + 57. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = -2*x. Suppose 0*d + 14*d + 56 = x. Let w(o) = 3*o**2 + 10*o - 6. Let j be w(d). Which is the closest to 6? (a) -2\/5 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 34654800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7 - 3*f**2 + f**3 - 5 + 5*f + 8. Let v be -5 - (1 - (2 - -11)). Suppose -2*j + v = 3*x, 4*x + j = 4*j + 15. Give y(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3257763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*n**3 - 127*n**3 + 208*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -4 + -1035 + 1. Let i = -588 - y. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*h - 4*h - 189, 2*h + 402 = 2*s. List the prime factors of s.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 5*v - v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcr when three letters picked without replacement from {c: 5, g: 2, r: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 23*j - 2. Suppose -2*h = 2*h - 8. Does 15 divide k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107.5 - 154.55. Let k = 45 + l. What is k rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 + 69*f - 251. Let k be z(3). Suppose 5*j = 2*j + 405. What is the greatest common factor of j and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 502*o**4 - 46*o**3 + 2*o**2 - 2*o - 12151?\nAnswer: 12048*o - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 157 - 80 + 4*a - 77.\nAnswer: -10*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 62247157.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122471348, -122471362, -122471400, -122471474, -122471596, -122471778, -122472032?\nAnswer: -122472370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/30 + r**2\/5 - 9*r - 3. Let d(h) be the first derivative of i(h). Suppose d(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a factor of 93782736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*c + 170*c + 442 = 2*o, 4*c = -175*o + 171*o + 212 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 16) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 4*o + 2. Let f(q) = -5*q**2 - 7*q - 4. Let w(i) = 3*f(i) + 7*s(i). Calculate the remainder when 14 is divided by w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**3 + 39*d**3 + 46*d**5 - 11275*d + 22*d**5 + 14*d**3 - 17*d**3 wrt d.\nAnswer: 1360*d**3 + 246*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 178, -1, 357, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35620 is divided by 17777?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -991*a*l**2 + a*l*p - a*l - 2118*a - 2*l**2 + 7*p wrt l.\nAnswer: -1982*a*l + a*p - a - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2774*a = -1174*a - 1334*a - 14364 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let c be g(4). Let l(j) = 2*j**2 + j + 4. Let n be l(0). Solve -c*q - n = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 3. Let o(s) = -s + 2. Let z = -17 - -20. Let m(g) = z*o(g) + 2*h(g). Calculate m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))**16\/(q**6*q**(-3\/4)) assuming q is positive.\nAnswer: q**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275165.\nAnswer: 5, 11, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 83, 2324, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75583, 75584, 75585, 75586, 75587, 75588?\n\"Answer: k + 75582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*(i\/(i\/(i*i\/(i\/i**14)*i)))\/i assuming i is positive.\nAnswer: i**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*b**2 + 40016 - 40016 to the form h*b + y + f*b**2 and give f.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - (sqrt(76) - -2*sqrt(76)))*5 + sqrt(76) + sqrt(76))\/sqrt(4) + 2*(sqrt(684) + sqrt(684) + 1 + sqrt(19)))**2.\nAnswer: 72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -8. Let b = d - 2. Suppose b*h = h + 69. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let x = 0 - r. Let n be 1\/(-2*1\/x). Solve 4*t = -n - 3, 2*h - 4*t + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6352219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*a + 123 = 0, 3*a - 5 = 1. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 4*j + 7. Let p be i(-5). Let s(n) = 3*n + n**p - 5*n + 5*n. What is s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4840 by -4.\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/21 - (-11)\/7. Factor 12 + w*i + i**4 + 5*i**2 + 4*i**3 - 12.\nAnswer: i*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3415 + 1807. Calculate the remainder when x\/(-21) + 4\/(-7) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 4, -3, 2\/7, 153, -2?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -44 - -11 - (5118\/852 + -6)*-1986?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5631 divided by 1087\nAnswer: 5631\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 - x**2)*(36 + 369*x - 507*x + 237*x).\nAnswer: 99*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -104040606 rounded to the nearest 1000000?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = -x. Suppose -m = 3*z - 0*z - 17, -5*z - 23 = -2*m. Calculate the highest common factor of m and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5109 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9498 + -3800. Is t a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/7 + 60*h**3 + 22815*h**2\/7 + 20520*h + 237168\/7 = 0. Calculate h.\nAnswer: -36, -4, -3, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((1 + (2 - 5))\/2). Suppose -424 = -4*i - m*v, 0 = -3*i + 2*v + 284 + 51. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8524 - 119553\nAnswer: -128077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 2. Let q(f) = -4*f**2 - 3. Let l = -25 + 25. Let z be (5 - l)*(-46)\/115. Give z*q(v) - 3*b(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983*z**2 - 103*z + 113*z - 4 - 12*z.\nAnswer: 983*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 540*-4\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 94. List the prime factors of d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -65, -46, -19?\n\"Answer: 4*m**2 - m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136660296?\nAnswer: 2, 3, 23, 29, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.13 (c) -2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2552 is divided by 783.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101111010001101 + 1?\nAnswer: 10011101111010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8097 - -8097.017556. Let b = p - 6.017356. Let n = b + 6. What is n rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 32, 92, 176?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390288327 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14)\/28*(-418 + 0) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 9*h**2 + 4*h + 7. Let x be p(-9). Let n = 48 + x. What is the highest common divisor of n and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534 + 537. What is the third biggest value in 0.2, f, 1\/4, -1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(190)\/sqrt(10) - (-5*sqrt(76))\/sqrt(4))**2.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 22*k**3 + 40*k**2.\nAnswer: k**2*(k - 20)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6)*-6)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, 2.7, -1, -17, -1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1413091866 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 - j**4\/3 + j**3 - j**2. Let u be x(-8). Calculate the remainder when 3 is divided by 4*(-1 - (-9)\/u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24615*x**2 - 35*x**5 - 24615*x**2 + 2*x**3 - 2 - 5*x wrt x.\nAnswer: -700*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u + 3*u - 765 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -4. Suppose i = 2*f - 4*f. Is 13 a factor of ((-8)\/f)\/(2\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2469\/5*f - 66 + 9*f**2.\nAnswer: 3*(f + 55)*(15*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 32*r - 231 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -j. Suppose 979*s - 9933 = 748*s. Which is the nearest to 1? (a) s (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80958740 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 50 = -8*y, 5*y - 4*n + 5 = 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1857 and -37\/303444.\nAnswer: 187831836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*q + 104, -10 = 9*j - 4*j. What is the units digit of 274 + (-3 - q\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*w + 4108, -l - l + 2737 = -3*w. Let g = l - -76. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/4 (b) -1 (c) 2 (d) -0.2 (e) -58.118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 26. Let r be v(7). Solve 0 = r*u - 8 + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170.2 + 170.1. Let l = 8 + -7.5. What is the closest to -2 in l, h, 21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 - 3*t**2 - 3*t + 5. Let d(b) = 12*b**3 + 6*b**2 + 7*b - 12. Give -2*d(k) - 5*p(k).\nAnswer: k**3 + 3*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - f**2 + f + 1. Let m(q) = -4*q**3 + 105*q**2 + 2*q + 2. Calculate -m(c) + 2*r(c).\nAnswer: -2*c**3 - 107*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*a = 4*d + 52, -5*a = d - 57. What is the remainder when 287 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 880 = 9*q. What is the lowest common multiple of 4 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**6\/15 + 7*p**2\/2 - 5*p. What is the first derivative of h(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207 - -208. Put -4, -30, s in decreasing order.\nAnswer: s, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-139)\/(-1251))\/(3\/(-4)*(-608)\/(-144))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47888 + -31988. Round b to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:15 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 - 2*b + 2. Let w(d) = 9*d**2 + 5*d - 5. Let x(f) = 2*w(f) + 5*y(f). Let t(n) = 26*n + 19*n - 55*n. What is t(x(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*y**3 - 21*y**3 - 61*y**3 + 11*y + 2*y**2 in the form p*y + s*y**2 + l*y**3 + x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.193 and -319.5.\nAnswer: 61.6635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194815.\nAnswer: 5, 19, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -7*m + 4*m + 122506, -3*g = m + 73512. Let r = g + 31976417\/1305. Is 0 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) 69 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 50.\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-39) - (-4 + 6063\/559).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**6)\/(p\/(p*p**(-1\/10)\/p)))**24*(((p*p**(-3)*p)\/p*p)**37)**(-15\/8) assuming p is positive.\nAnswer: p**(-3081\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -15\/14 (b) 2\/13 (c) -3\/8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1597 and 54298?\nAnswer: 54298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25699301 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(1030\/60 + 1\/2). Let g = 18 - y. Which is the second smallest value? (a) -5 (b) g (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-156 - 145 + 150)*(-5 + 3 + 0)*(-3*u + 3*u + u**2) + u**2 - 4*u**2 + 5*u**2 + 2*u - 2*u - u**2 as i*u + b + j*u**2 and give j.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 3. Let s(a) = -a**2 - 11*a - 36. Let w be s(-6). What is l(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**3 + 0 - 2*c**2 - 1\/120*c**6 + 0*c + 1\/12*c**5 + 5\/24*c**4. Let n be m(6). Solve 2*w - 4 = -n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2630 is divided by 110?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.6 - 0.6. Let z = 527 - 639.7. Let v = -112 - z. Sort v, -1\/6, -5, m.\nAnswer: -5, -1\/6, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - c = -3*g + c - 3, -15 = -63*c + 68*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39779.820094 + -39780. Let h = p + 0.18. What is h rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 1\/6, 3, 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2471457509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27888340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + 5363*b + b**3 - 75062*b - 6*b**3.\nAnswer: -2*b**3 - 69699*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(36))\/(sqrt(75)*-3)*-2.\nAnswer: 2*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 34 = -4*k, 20 + 5 = x - 4*k. Suppose 0 = 6*l - x*l + 12. Solve -3*j + l*s - 17 = 0, 2*j - 28 = -j - 5*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237061112?\nAnswer: 2, 11, 13, 359, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8274504?\nAnswer: 2, 3, 7, 49253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 13 = 5*b - 2, -5*i - 6 = -2*b. Solve b = 31*q - 30*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t - o + 23, 5*t + o = -27. Let w = t - -3. Let h be w\/6 + 1\/3. Solve 4*g + 35 = 3*d, d - 15 = -h*d + 2*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let o(s) = -2*s**3 + 2*s**2 + 2*s. Let h be o(n). Let m be 21\/(-7)*(-3)\/(-18). Sort h, -1\/7, m.\nAnswer: h, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1944 and 1752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let p be b(0). Suppose h + h - 18 = p. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -664.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*z = -0*z - 4, 5 = 2*w - 5*z. Suppose 0 = -w*j - 3*j - 99. Is (-4202)\/j + 2\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4119, 4100, 4057, 3984, 3875, 3724?\n\"Answer: -r**3 - 6*r**2 + 6*r + 4120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (44 - 16) - -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*-5*(sqrt(475) + 1) + (sqrt(475) + 2*sqrt(475)*3 - 1*sqrt(475)*-5))**2*-1.\nAnswer: -154799 - 5400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1160*f + 1843*f - 1037*f)*(-9*f + f + 2*f)*(-2 - 1 + 2) - 2*f**2 - 3*f + 3*f.\nAnswer: -2126*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -53. Suppose 0 = 2*b - 9*o + 4*o - r, -2*b - 4*o + 2 = 0. Solve 0 = 4*a + 4*m, -m + b*m + 45 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.0466 - -0.0466. Let u = -0.2 - -1.2. Let q be ((0 - -2)\/(-2))\/1. Which is the nearest to q? (a) -0.7 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 19.9550559?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24072)\/51)\/59)\/(4*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 819663.7 centuries in decades?\nAnswer: 8196637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*l**3 - 65*l**2 - 68*l - 4.\nAnswer: -(l + 2)**2*(16*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63318096889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -5, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 37. Suppose -q*o = -3*o - 186. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 400 - 365 + 4*m**3 - 2*m**3 to the form c*m**3 + r*m**2 + k + j*m and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/(w**(-9\/2)\/w))\/(w*w\/w**9*w\/(w\/w**(2\/5))) assuming w is positive.\nAnswer: w**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 2*t**3 + 2*t**3 + (t**2 - 4*t**2 + 4*t**2)*(4 + t - 4) to the form s*t + p*t**2 + u + f*t**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867*q**3\/2 + 7622358*q**2 + 33521780160*q + 133965190656 = 0.\nAnswer: -149424\/17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132569?\nAnswer: 43, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((h + 0*h - 3*h)*(-1 + 2 + 1) + 0*h + 2*h - h)*(h**2 + 0*h + 0*h + (2 - 4*h - 2)*(2*h - 4*h + 3*h)) as v + q*h**2 + n*h**3 + m*h and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/684 and 79\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i + 1. Let c(z) be the third derivative of -z**4\/4 - z**3\/6 + 98*z**2. Give -5*c(a) - 4*x(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3663 + 7346. Let h be (u\/(-87))\/((-2)\/(-3) - 1). What is h rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-14))\/((-6)\/(-84)). List the prime factors of (6\/t)\/(12\/1056).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.7.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2*a - 2*a)*(19 + 7 - 8)*(0 + 0 + 3) to the form j*a + s and give j.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 477 = -45. Suppose -4*i - 2*g - b = -794, 2*i - 356 = 2*g. Suppose 99 = -5*z - 4*h + 1079, z = 2*h + i. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.7, -0.5, -2, 4, 2\/121?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 - 569576*c\/13 + 1139144\/13.\nAnswer: 2*(c - 284786)*(c - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102066307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218744 is divided by 732.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 66605156*z + 133210296.\nAnswer: 4*(z + 2)*(z + 16651287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/6)\/(1\/3). Let n be (-528)\/(-56) - (-3)\/p. Let w be ((-3)\/n)\/((-2)\/72). Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:39 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + (-2 - 2) + 5. Let i(r) be the first derivative of 4 + 2\/5*r - 2\/5*r**y + 2\/5*r**2. Determine f so that i(f) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1\/6 (c) 1.2 (d) -7 (e) -10 (f) -1\/83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1070593 and -4820.\nAnswer: -1075413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42172 is divided by 4215.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:22 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.157 - -0.123. Let a = h + -0.28. Let s = -4 + 3.7. What is the closest to a in -4\/7, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398884*l + 199463*l + 199463*l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 79 + 10. Solve -2*l + w + w = 2, 5*l - m = -2*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/11 and 35\/(-21)*189\/(-30).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 1, o: 1, h: 1, c: 5}. What is prob of sequence oe?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -156. Let q = a - 93. Let c = -28 - -49. Solve -c = -5*x + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - n + 2 + 14*n**2)*(-1275*n**2 - 41*n**3 + 1275*n**2).\nAnswer: -574*n**5 + 41*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111.1 + 37.1. Which is the biggest value? (a) 0.4 (b) 1 (c) -0.11 (d) m (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2544080 divided by 784\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1360, 2667, 3868, 4915, 5760, 6355, 6652, 6603?\n\"Answer: -8*g**3 - 5*g**2 + 1378*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzzz when four letters picked without replacement from {z: 3, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 - 323.535. Let k = 0.005 - h. Let x = k + -0.54. Is x greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1240012*f + 1. Let l be g(1). Suppose 4*v = -5*d - l, -3*v = 4*d - 18968 + 1010978. Let c be d\/(-4) - 6\/24. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10201*a**4 + 77770*a**3 + 197917*a**2 + 189420*a + 60516.\nAnswer: (a + 3)**2*(101*a + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 103, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y - 18 - 64*y - 13*y - 16. Let l = -25 + 20. Is h(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Suppose 3*m + 0 = -5*k + 2, -4*m - 4 = 0. Let a(j) = 0*j + 0 - k + 4*j. Give a(u) - 6*x(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8892282 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -16*r**2 - 51*r - 31. Let s(z) = -3*z**2 - 10*z - 6. Let c(v) = -2*n(v) + 11*s(v). Let j be c(-6). Solve 2*u - 2*u + 0*u**2 - j*u - 4*u**2 = 0 for u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**2 + 28*w - 39. Is z(11) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 + -1.44991.\nAnswer: -1.57991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-45)*-9*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 412\/(-3) + 2\/(-3). What is x rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let u be ((-15)\/10)\/((-3)\/(-8)). Let v be (u\/(-2))\/(-2 - -12). Which is the nearest to 2? (a) -5 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 - 1\/2*r**2 - 7\/12*r**4 + 2*r - 1\/3*r**3. Give n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 107563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30358690.\nAnswer: 2, 5, 3035869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47505 = -13*y - 11521. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 25*s**2 + 4 + 11*s**3 + 25*s**2 as v + k*s**3 + b*s**2 + n*s and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.012 (b) -0.32 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 5\/(25\/10). Suppose b = w + 2, -2*b + 1 = -2*w - b. Let u = v + w. Calculate the remainder when 14 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f6099 (base 16) to base 10\nAnswer: -2056345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3125 + -3134. Which is the biggest value? (a) 56 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -96\/5 - 52\/5*i + 2\/5*i**3 + 46\/5*i**2 = 0.\nAnswer: -24, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 9*t**2 - 10*t - 23. Let s be h(-8). Let i be (-3)\/5 - (s - 44\/(-10)). Solve -11 = 3*g + 2*a, -i*g + 2*a + 14 = -2*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 216*r**3 + 4068*r**2 + 29808*r + 58320.\nAnswer: 4*(r + 3)*(r + 15)*(r + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 687893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 259646541 divided by 116277\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -279438 divided by -6\nAnswer: 46573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1347, -1346, -1345, -1344, -1343?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2653, -5694, -9137, -12976, -17205, -21818, -26809?\nAnswer: -32172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + -4.94. Let d = -4.6 - -6. Let s = d - 1. Which is the closest to 0? (a) -3 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11029*d - 26415.\nAnswer: 11029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 25 = -5*w. Suppose -w*y = -0*y - 5. Let q = 0.327 + -0.227. Which is the second smallest value? (a) q (b) y (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10. Solve -3*x + 2*m + 8 = 0, 2*x + 5*m + 0*m = -d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127*-3\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3654)\/(-210) + ((-72)\/(-15))\/8. Solve -12 = -3*r - y, 0 = -j - 3*r - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 15. Let i = 0 + -0.3. What is the biggest value in -5\/4, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/4167 and 81\/2?\nAnswer: 8334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 - 121. Suppose -3*z = -3*d, a*d - 27 = -5*z + 3. Solve -z*v = -8*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4))**(18\/5)\/(h**(-6\/13)*h*h**(-2\/9)))**33 assuming h is positive.\nAnswer: h**(-94699\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32543 - -68580. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from kkiivv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)*o**(-3\/8)*o\/(o*o*o**(-4))*o**(-3\/5) assuming o is positive.\nAnswer: o**(-39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.3. Let n = -1307\/5 - -262. Which is the second biggest value? (a) n (b) o (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -53. Sort 0, d, 22 in ascending order.\nAnswer: d, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w - 0*w. Which is bigger: w or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-4 + -1 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 71 = -w, 3*l - 53 + 14 = 3*w. Solve 125*r = 120*r + b + l, -4*r = b - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) -5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 116366*l**2 - 26684830*l - 1532856850.\nAnswer: -2*(l + 115)**2*(l + 57953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 60*n - 900.\nAnswer: -(n - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 33?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - 58 - 80 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3)\/k)**(-27\/4)*((k*k**(-11)*k*k)\/k)**(13\/3) assuming k is positive.\nAnswer: k**(-237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/3*(-2)\/4*12.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i**2 - 1. Let p be g(-1). Suppose -2*v + 7 = 25. Let u be 1\/3 - 42\/v. Solve u*t - 1 = -p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + 17 - -10) + -29\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 9 + 53*g + 58*g - 111*g to the form u + c*g**2 + q*g and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 166. Let f = v + -75. Let j be 26\/65 - ((-96)\/f + 0). What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 - -7.6. What is the third smallest value in 2, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104541669 is divided by 637449?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 1077, -1\/62, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:09 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135\/376 - -3\/188. What is the nearest to 1 in d, 1, 0.19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 80, 153, 282, 479, 756, 1125, 1598?\n\"Answer: 2*f**3 + 10*f**2 - 15*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1047320, -2094646, -3141970, -4189292?\n\"Answer: w**2 - 1047329*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = p - 4*p - 12, 3*a = -3*p - 6. Let f be (-3)\/p + (-2 - -2). Let t be f + 0 - (-1 - 1). Solve -3*v = t*w - 6, 3*w = 5*v - 0*w + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 n when three letters picked without replacement from {r: 2, n: 16}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:58 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 14841000 = -7*n. Round n to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjojjjfojjj. What is prob of sequence ojf?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-18)*1441*-2. Calculate the highest common factor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 + 4*f**2 - 4*f**2 in the form j*f**2 + w*f + z and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a (base 11) to base 3.\nAnswer: -122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - -30 - (-1 + -2 - 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - -2.01. Let g = 2258.2 - 2255.2. Let d = 3 - 5. Which is the third smallest value? (a) t (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2330293598 to the nearest integer?\nAnswer: 48273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.6, -2, 326, 23 in decreasing order.\nAnswer: 326, 23, -2, -9.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j - 8*j + 83 - 81. What is the units digit of h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from givvgiiiiii. Give prob of sequence ig.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p - 5. Determine b(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Find the second derivative of 3*f - h*f**2 - 2*f + 0*f - 2*f wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 n, and 1 l when four letters picked without replacement from {v: 4, n: 2, x: 6, k: 3, l: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11151, 22299, 33447, 44595?\nAnswer: 55743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26320, -52637, -78954?\n\"Answer: -26317*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 216704\/4 - (1 - 1). Let c(v) = u - 54176 + 2*v**2. Let k(x) = 16*x. What is k(c(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 90*d - 16744.\nAnswer: (d - 182)*(d + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24540 divided by -1636\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 25*l**2 - 167*l - 3763. Determine c(16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 47*f - 29. Let c(h) = -h**2 - 3*h - 1. Let y(r) = -2*c(r) + j(r). Determine y(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**6)\/z)\/z*(z*((z**(-7)\/z)\/z*z)\/z)\/z*(z\/(z\/(z**(1\/2)*z)))**(-3\/25))**(-1\/45) assuming z is positive.\nAnswer: z**(809\/2250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954195 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.888375 rounded to 1 dp?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*h - 13, c - 13*h + 7 = -18*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 9 - 6)*(-12 - 10*s**3 + 12 + (2 + 2 - 5)*(2*s**3 + 0*s**3 - 3*s**3)).\nAnswer: 243*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9480978 divided by -117\nAnswer: -81034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s*s\/s**(-2\/29))\/s*s)\/s)**(-7\/8) assuming s is positive.\nAnswer: s**(-105\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 51*w + 1 + 0 - 2*w**3 as m*w + u*w**3 + o + y*w**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 239. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34631, 71300, 110003, 150740, 193511, 238316, 285155?\nAnswer: 334028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 15 (c) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a657171 + 5?\nAnswer: -5a657167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - 125*t + 695. Calculate the remainder when 393 is divided by m(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 26*l**2 - 64*l + 364. What is g(28)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*x - 11 = 0, 2*x + 2*x + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 279?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 250332 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561 divided by -5?\nAnswer: -1561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/20 - n**5\/30 - 7*n**4\/24 - n**3 - 93*n**2 - n. Let h be i(-1). Solve 6*y - 1 = h*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 23\/5, 2, 0.4, 4, 0, -5 in increasing order.\nAnswer: -5, 0, 0.4, 2, 4, 23\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*g**6 + 12*g**2 + 4*g.\nAnswer: 14640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 3 = 8*i. Solve 5*y - i*y = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -5, 160 in decreasing order.\nAnswer: 160, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -3788431?\nAnswer: -3788436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 243825391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a + 1. Let q(u) = -1. Calculate -4*o(k) - 4*q(k).\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.36, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-888)\/333*(-189)\/(-216)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206813, -206811, -206809?\n\"Answer: 2*r - 206815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5001 - 4976. Solve 5 = 8*j - 9*j, 5*j + l = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 98 = 4*x, 0 = x + x - 5*k - 40. Let j = x + 59. Suppose 3*t - l = -4*l + j, -5*t + 4*l = -158. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + 1.99. Let s(z) = 52*z - 161. Let v be s(3). What is the second biggest value in 0.2, n, v, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 5.4.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20153265 = 23*k - 21936735. Round k to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.66 + -0.34. Which is the smallest value? (a) 2\/11 (b) h (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6337, -6338, -6333, -6322?\n\"Answer: 3*t**2 - 10*t - 6330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:37 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkt when three letters picked without replacement from {i: 1, t: 3, j: 1, k: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -3 in ascending order.\nAnswer: -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1 + -31 + (-448)\/(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*w)*(-5*w + 1 - 6 + 3 + (-w + 0 + 0)*(1 + 3 - 6)).\nAnswer: 9*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1088, -7883, -22836, -43771, -70688?\n\"Answer: -2991*p**2 + 2*p + 4077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 670 divided by -335\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -182 - 33?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1252 + 1251.7396. Round z to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c4b305a - -2?\nAnswer: c4b305c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1612 and 103\/13728.\nAnswer: 425568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 - -105. Suppose 5 = -g*v - 5*r, 4*v + 3 = -3*r + 2. Suppose 1035 = 5*k - 3*s + 30, v*k + s = 391. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -17. Suppose g - 10 = -b, -3*g + 58 = b + 4*b. Let o be m\/(b\/8) - 0. Solve o*n + 2*w + 0*w - 2 = 0, 3*n = -4*w + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003304382 rounded to seven decimal places?\nAnswer: 0.0003304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -1)*(3 - (-49)\/(-4)). Let a = 28 - l. Let f = a + 11. Sort 1, 5, 4, f in descending order.\nAnswer: 5, 4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = -49*r + 16*d - 20*d, 3*d - 15 + 45 - 18 = -r + 2*d for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 - 56*z**3 + 2160*z**2 - 11016*z + 15444 = 0. Calculate z.\nAnswer: -33, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.042 and -268.\nAnswer: -11.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17 + 12 + 3*t**2 - 20*t - 5*t**2 + 4. What are the prime factors of i(-10)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184, -206, -310, -538, -932, -1534, -2386?\n\"Answer: -7*w**3 + w**2 + 24*w - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d - 23. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**2 + 1 - 2 - 6 with respect to p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 108 = -23*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 6*z - 11. Let c be b(-11). Suppose g = -g + c. Let p be ((-33)\/g)\/((-6)\/(-8)). Is -9\/5 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 17. Solve 0 = -w*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:30 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*x + 152, 81*x - 77*x + 66 = v. Let o = 161 - 0. What is the remainder when o is divided by v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -4 (c) 0.1 (d) -464 (e) 11 (f) -1\/10 (g) 168\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/63 + 4 + -5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*2\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/4)\/(12006\/5336)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/4)\/k**(15\/7))\/((k*((k**(-20\/9)*k*k)\/k)\/k)\/((k\/(k\/(k*k\/k**(-2\/21)))*k)\/k*k)))**(3\/44) assuming k is positive.\nAnswer: k**(67\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1750 - 1752. Let p be (28\/35)\/(14\/5). Let x = -12\/71 - -322\/1065. What is the nearest to p in 3, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = -2*v + 186, -3*g + 8*g = 20*v + 16*v - 38*v - 54 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 177*h + 174*h - 3 + h - 3*h - 4*h + (0*h - 2*h - h)*(2 - 1 + 0))*(-2*h - 1 + 1)*(-1 - 1 - 2).\nAnswer: -96*h**2 - 72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.289 + 27.289. Let i = -0.1 - -0.2. Which is the nearest to i? (a) t (b) -5 (c) 4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/21 + 1\/105. Let y be (-9 + 2061\/225)\/((-2)\/(-10)). Let l = k - y. Find the common denominator of -25\/4 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.6385759 to three dps.\nAnswer: -173.639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640580 is divided by 14524?\nAnswer: 13892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82790223 or 82790222?\nAnswer: 82790222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1012122220121021?\nAnswer: -1012122220121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5070 - 15509. Let n = -3996 - z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*k - 20. Suppose k = -2*c + 32. Let o = 3 - c. Let p(n) = 6*n. Let j(i) = -2*i. What is o*j(m) - 3*p(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-521)\/(-93) + 21\/(-294) + 295\/2170. Let h(m) be the first derivative of -i*m**3 - 5 - 35\/2*m**2 + 0*m. What is the second derivative of h(n) wrt n?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wir when three letters picked without replacement from {r: 1, w: 1, z: 2, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z = 7*s - 432, -13232 = 5*z - 2*s - 13285 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73214783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - g = 3, 6 - 16 = 5*o + 4*g. Find the second derivative of -4*i - 2*i**o - i + 4*i + 0*i**2 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 5*v**4\/4 - 305*v**3\/3 + 3535*v**2\/2 - 11515*v + 1935. Suppose k(c) = 0. Calculate c.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 925412 and 11594?\nAnswer: 10179532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54023 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 517*i**2 - 128 - 2*i**3 + 306 - 516*i**2 as j*i**2 + z*i + t + r*i**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9caa5 (base 13) in base 4?\nAnswer: 1011220312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 5125365?\nAnswer: 61504380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = 5*v, -3*n - 3*v - 5 - 4 = 0. Let k = 0 - n. Solve -3*m = 3*i - 6, i + 8 = k*m + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 10, w: 1, e: 1, q: 6}. What is prob of picking 2 q?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -0.04, -8, 12?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = 35. Let o = b + 3. Is -4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2323, -15 in descending order.\nAnswer: 2323, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7470 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*q**3*v - 2*d**3*q**2 - 14*d**3*q*v + 2*d**2*q**2*v - d*q**3*v + 5*q**2*v wrt q?\nAnswer: -6*d**3*v - 6*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 6*b - 7*b)*(-41*b - 133 + 133)*((-3*b - 4*b + 5*b)*(b**2 + b**2 + 0*b**2) - 1 + 2*b**3 + 1 - 5*b + 5*b - 7*b**3).\nAnswer: -6273*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 23.8. Let u = 10.5 - q. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862597092 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**5 - 136*z**4 - 472*z**3 + 288*z**2 + 1404*z - 1080 = 0?\nAnswer: -30, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m + 3. Let a be l(2). Let h(y) = -4*y + 1. What is h(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.076 + 0.314. Let u = p + 0.03. Let b = -0.4066 + u. What is b rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (80\/6 + -1)\/(5\/15). Find the second derivative of -4*r + 5*r**4 + w*r**3 - 14 - 12*r**4 - 37*r**3 wrt r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -727968 divided by -3\nAnswer: 242656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 1:51 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*y = 9, 3*b - 3*y = -22 + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 3*p**2 + 2*p - 5. Let b be w(-4). Suppose -q - 4*c = 7, 5*c = -12 - b. Suppose q*a - 3*a = 3*s + 18, s = -4. Solve -a*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1172114, -4688311, -10548572, -18752891, -29301262, -42193679, -57430136?\nAnswer: -75010627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + q + 7. Suppose -3*g - 2 - 16 = 0. Let t be c(g). What is the remainder when 14 is divided by (-1)\/(t\/(-7)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 42804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 17*g + 190 = 53*g, 4*n + 18 = 2*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1198916 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52\/25? (a) -0.1 (b) -5 (c) -227\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3708\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.078, -3, -29\/12, -0.22?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1815 + -846. Is x a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -7*m**4\/12 - 5*m**3\/6 + m**2 - 5*m. What is l in u(l) = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Calculate the highest common factor of p and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 69\/(2\/2 - 0). Let j = 133 + -85. Let q = y - j. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2665*j**4 + 10*j**3 + 30*j - 58 wrt j.\nAnswer: 31980*j**2 + 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, 13\/5, -26\/19, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -137?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:29 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 50. Let p be (-2)\/5 + 1228\/y. Suppose 5*r = p - 6. What is the greatest common divisor of r and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219752524 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 0 = 6*i - 28 - 8. Suppose 2*k = 4*k - i, 151 = 5*f - 3*k. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131854641 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44.4786 nanograms?\nAnswer: 0.0000000000444786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 788*d**2 - 1359*d - 10173468?\nAnswer: 1576*d - 1359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 6*w - 10. Let c be z(-5). Let g = 144 + c. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -4. Let i = a - -2. Let s = -0.2 + 0.1. Is i <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(22 - 1). Let c = x - 9. Suppose -4 = -84*r + 382 - 50. Solve 0 = -c*f - 11 - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 7. Let o = -96 + 93. Suppose 5*a + 1 = -3*z - 36, 32 = -3*z - 4*a. Put z, o, j in descending order.\nAnswer: j, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 - z + 4. Let k be m(-2). Let f(u) = -u**3 + 2*u**2 + 3*u + 1. Determine f(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/28 and (-5)\/6 - (-591)\/45?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70131183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2231 and 161893?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -53. Calculate the greatest common factor of m and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 4, l: 3, e: 7, z: 1, a: 4}. Give prob of picking 3 l and 1 n.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 + 3*p + 7. Let g be -7 + 1*-4*(190 - 191). Let r(j) = 7*j**2 - 4*j - 7. Give g*r(h) - 4*a(h).\nAnswer: 3*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u, -5*u + 50 + 98 = 4*f. Calculate the greatest common factor of f and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 794*a**4 - 5109*a**3*n + 9*a**3 + 5*a*n - 14389*a - 126*n wrt a.\nAnswer: 9528*a**2 - 30654*a*n + 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.157228 + -2.157228. Let s = -1 + 1. Let v be 4\/(-10) - (s + 0). Sort m, v, 2\/17, -0.1.\nAnswer: m, v, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 112 - 40?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*s + 10, 2*s - s + 18 = 4*p. Is 0\/(-1) + (-2 - (-117 - s)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l - z - 11 = 0, -5*z + 13 = 3*l. Let x = 10 + l. Let w(a) = a**2 - 6*a + 3. List the prime factors of w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/7 - -2. Let l = 0.0008 + -0.1008. What is the third biggest value in 2\/9, h, -0.5, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t + 126. Calculate y(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(605) + 4 + 2)**2.\nAnswer: 110*sqrt(5) + 635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 + r**2 + 143*r**2.\nAnswer: 159*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.922771 centimeters in nanometers?\nAnswer: 49227710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/h*h*(h**6\/h)\/h)\/(h**(-2)*h*h*h**4*h*h) assuming h is positive.\nAnswer: h**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.1, 5, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3198 or 2918?\nAnswer: 2918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/12 and 25\/1914?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-6)\/4*370\/(-222).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - 4. Let a(g) = -9 + 4 + 3 + 13*g - 11*g. Give 13*a(v) - 6*i(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 + 23*r**2 - 4*r - 1. Calculate d(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 5*b**2 + 7*b**2)*(-4*b + 3*b + 2*b) - 2*b**3 - b - 4*b**2 + 4*b**2.\nAnswer: -5*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44740 = -4*a - 5*o, 355*o + 33550 = 3*a + 360*o. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u. Let f be b(-8). Let c(l) = -4*l**2 + 6*l - 58. Let y(h) = -3*h**2 + 5*h - 59. Let a(i) = 4*c(i) - 5*y(i). List the prime factors of a(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -408431 + -3?\nAnswer: -408434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/(-2 - (-250)\/120). Let b(i) = 5*i - 4. Let d(v) = -6*v + 5. Give y*b(q) - 2*d(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27954161 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o**3 - o**2 + 2. Let p be j(-1). Sort p, 5, 2 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 8*r + 8. Is 20 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2094221 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(5 + -14*(-4)\/(-8)). Suppose b + 4*b - 547503 = s, -o*b - 2*s + 437994 = 0. What is b rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267\/20 + -217\/20. What is the nearest to 9 in g, 1\/7, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6156*h**3 + 18*h**2 + 11*h - 5. Let i be c(-1). Round i to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 3096512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1023072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*a + 27*a - 10*a**2)*(-17 - 14 + 3) + (0*a + a - 4*a)*((-12*a + 8*a + 3*a)*(0 + 0 - 2) + 2 + a - 2).\nAnswer: 271*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 29\/243085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1341280604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*(-168)\/357.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7873*b - 2050*b + 6437*b + 2*b - 6*b + 3*b + (-4 - 3 + 5)*(-5*b + 2*b + 2*b) + 5*b - 3*b - 3*b.\nAnswer: 12260*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 9*y**2 - 28*y - 24. Let o be l(-7). Calculate the highest common divisor of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240375155 or -240375153?\nAnswer: -240375155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 18}. What is prob of sequence eee?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j**2 - 3*j**2 + 2*j**2)*(2*j - 5*j + 2*j) - j**2 + j**2 + 3*j**3 - 3*j**3 - 6*j**3 + 3*j**3)*(-j**2 + 2 - 2).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/21)\/(-2))\/(23\/23)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/120*5*(-7)\/(-21)*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2298 and 16?\nAnswer: 18384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:26 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 1:42 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*m = 0, m + 2*m - 2*m = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 7*t**5\/12 - t**4\/9 - 25*t**3\/18 - t**2 + 7*t. Determine x so that i(x) = 0.\nAnswer: -3\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6*y + 3. Let i be l(6). Suppose 0 = 4*p - i*p - 4. Suppose f = p*f - 90. What is the lowest common multiple of 14 and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16522637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 21. Let d be 20\/110 + (-1580)\/l. Let a = d - 21. Calculate the greatest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578036\/263 - 78886979\/9994. Let t be 2*10093*2\/(-4). Let h = t - r. Find the common denominator of 83\/4 and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + t**3 + 4 + 2*t**2 - 5*t**2 + t**3. Let v be 0 + (8 - 2 - 0). Let m(f) = -11*f**3 + 17*f**2 + 17*f - 23. Give v*m(p) + 34*r(p).\nAnswer: 2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201586678?\nAnswer: 2, 100793339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 56*q + 652. Give k(27).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*w = 233*w + 5*l - 55, -5*w - 59 = -6*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66.109 + 0.109. Let w = 66.14 + y. Let r = 8 - 11. What is the closest to w in -2\/9, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 834 + 4*a + 841.\nAnswer: 4*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -2, 1, 2, -2992 in increasing order.\nAnswer: -2992, -4, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 5*y)*(y**3 + 4*y - 4*y) + (-3 + 3 - 2*y)*(-4*y**3 - y**3 + 4*y**3) + 4*y**4 - 2*y**4 - y**4.\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.3 - 3. Let s = -43.28 - -43.32. What is the third smallest value in -3\/5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(41769\/(-1632))*(-21)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614189 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23905051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*b + 1 + 1 - 12 - b**3 + 11 - 4*b**3 + 2*b**2 to k*b + c*b**3 + v + s*b**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1344 divided by 1344\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 371*g - 65656 + 65656 to the form o*g + c and give o.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -6.4.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5508.798 hours?\nAnswer: 19831672800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/4066 and 19\/6.\nAnswer: 12198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -2 (c) -4.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3)*(3 + -2). Suppose -4*p = -3*a + p + 20, 4*p - s = -a. What is the third derivative of 3*q**2 - q**a + 3*q - 3*q + 3*q**5 wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqezrxpex. What is prob of picking 1 z and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 335, 533, 597, 533, 347?\n\"Answer: v**3 - 73*v**2 + 410*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -543 + 3344027340.\nAnswer: 3344026797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/5 + 4118*l**3 - 39036*l**2 - 65762*l - 113036\/5 = 0 for l.\nAnswer: -1, -1\/2, 11, 5138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 - 180*f = 0.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(1088) + -2 + sqrt(1088) + sqrt(1088)) + 6*-1*sqrt(1088))**2.\nAnswer: -2304*sqrt(17) + 156817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*s + 6*s - w, 4*w = -2*s + 16. Put -3, 0.2, s in descending order.\nAnswer: s, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -2\/557 (c) 5 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/18 and -95\/1168.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7535 is divided by 213?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let p(a) be the second derivative of a**3\/6 - 7*a**2\/2 - 5*a. Let s be p(z). Sort s, 3, -0.3.\nAnswer: s, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4471*v**3 - 1476*v**3 - 1510*v**3 - 1486*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -1. Let m = -0.1 - p. Let w = -0.125 + m. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i + 6. Suppose -5*x + 19 = -11. Suppose 0 = 5*b - 3*b + x. Put i, 1, b in decreasing order.\nAnswer: 1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-788380)\/(-30)*9\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in 1\/17, -8.99, -1\/19?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*j**2 + 11 - 10 - 2*j**3 - 10*j**2 + (-4*j + 7*j - 4*j)*(0 + 0 + j**2) - j**3 - 3*j**3 + 0*j**3.\nAnswer: -7*j**3 + 19*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77619764.\nAnswer: 2, 19404941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22704616 divided by 1?\nAnswer: 22704616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5852 rounded to 2 dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8741012230 from 0.13.\nAnswer: -8741012229.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Suppose -3 = -5*f + 2. Is 20 + 1\/f + t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06766 to three dps.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 1. Let v be u(1). Let l be -1 - (-1244)\/((-8)\/v). Suppose l = 4*o + 94. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -934a13 (base 11) to base 10.\nAnswer: -1499930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 - t**2. Let f be p(1). Let v = 20753\/2 + -145277\/14. Sort 2, v, -1\/2, f.\nAnswer: f, -1\/2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let g(q) = 14*q - 5. Let o = 54 - 52. Let f(r) = o*g(r) - 10*s(r). Differentiate f(p) with respect to p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04879 + -0.34879. Put v, 0.4, 0, -23\/3 in increasing order.\nAnswer: -23\/3, v, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*n - 36 - 4, -2*h + 5*n + 16 = 0. Suppose 18 - 47 = -r + 5*z, -2*r = -z - 13. Calculate the least common multiple of r and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1457 and -43\/1081?\nAnswer: 33511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 11*v + 33. Calculate the remainder when 7 is divided by y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42\/3919 - -252289\/1234485. Find the common denominator of 76\/189 and q.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 4909 - 4909.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 7) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 73 = r + 42, -3*r - 2*a = -28. Solve -9*y - 4*k + 21 = -4*y, 0 = r*k + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7614\/66 - (-96)\/(-264). Solve 0 = -33*k + 10*k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.00007997 + 63. What is r rounded to six decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511, -2826, -6669, -12040, -18939, -27366, -37321?\nAnswer: -48804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13681, -13679, -13677?\nAnswer: -13675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*c - 1778, -2*j - 8*c = -7*c - 711. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56, -79, -0.1?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-7 - (13 - 13))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*c - 49, -1927*h + 2*c + 122 = -1904*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j**3 - 7*j**2 + 3*j**2 - 5*j + 2*j**3 + j**3 - 2*j**3. Let s be 2\/3 + 13\/3. Determine q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d - 4*b + 12, -5*b + 20 = 0. Suppose 5*q - 3815 = 5*j, 3*q - 10 = q. Is (d + (-36)\/8)\/1*j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**2 - 71 - 70 - 18*j + 141 wrt j?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/90 + 13*u**4\/9 + u**3\/27 - 26*u**2\/3 + 397*u. Factor w(y).\nAnswer: -2*(y - 78)*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.6, 16, -4\/5, -1\/3, -2.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 18 = 6. Let a be -2 + q - (-3)\/3. Suppose 2*j + a*x = 16, -106 = -5*j + x + 3*x. What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71576040*j - 35850219?\nAnswer: 71576040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927584073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4953 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: Let z be 1 - 24\/15 - 266\/(-35). Suppose 7*w = -5*w + z*w. Let d be 3*(-2)\/4 + 2. Is w <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m - 3*m - 2*m. Suppose -14 = -2*t - 4. Let u(w) = 9*w**2 - 6*w**2 - t*w**2. Determine u(y(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(1 - 3 - -3) + -23. Let v be (-30)\/(-24) + u\/4. Sort -2, -3, 0, v in descending order.\nAnswer: 0, -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003477 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4483*a**2 + 7330*a**2 - 3922*a**2 as m*a**2 + z + r*a and give m.\nAnswer: -1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107129 + 224230. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(((i**(-3\/2)\/i)\/i)\/i))\/i)**6)**(-3\/7))**30 assuming i is positive.\nAnswer: i**(-2430\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-33)\/(-88)). Calculate the greatest common factor of 36 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 0 = -2*u - j, 0 = -2*u - 2*j - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0, 30, 71861, 4 in increasing order.\nAnswer: 0, 2\/11, 4, 30, 71861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-15) + (-2)\/5. What is the smallest common multiple of 52 - -4*h*7\/(-14) and 51?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -0.3, -0.5, -1.5, 0.03, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 6659*p + 6668*p - 13323*p.\nAnswer: -p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13 + 2*q**2 + 35061*q - 35063*q - 5*q**2 wrt q?\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + 0 - (-23 - (27 - 37)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 896, 1, 10, 3 in increasing order.\nAnswer: -3, 1, 3, 10, 896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(475) + 1)*-5)**2 - (3*(sqrt(1900) + 2*(sqrt(1900) + 1 + sqrt(1900)) + sqrt(1900)))**2)*4.\nAnswer: -2414936 - 7640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11866 + 12606. Calculate the remainder when m is divided by 63.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -238746 (base 9) to base 15\nAnswer: -2caec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 12*o - 17. Let u be 20\/2 - 0\/7. Let i be k(u). Solve -5*s - y + 5 = 3*y, 5*y + i = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -s - 3*g, s = g + g - 4. Let o(w) = -w**2 + 5*w + 6. Let j be o(s). Suppose j = 4*m - 16 - 0, 4*l = 2*m + 124. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11768\/(-18) - 84\/378. Let r = -314 - c. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -50, -5.\nAnswer: -50, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 133, 136, 151, 184, 241?\n\"Answer: f**3 - 4*f + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 3*m**5\/5 - 27*m**4 + 244*m**3 + 2160*m**2 + 4800*m + 488. Factor s(j).\nAnswer: 3*(j - 20)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*j**3 - 110*j**3 - 4*j**2 + 4*j**2.\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -848 - -856. Let q = 8 - -31. Suppose -4*c + 32 + q = 5*f, 0 = -4*f + 2*c + 62. Calculate the remainder when f is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxgaahajajazggag. What is prob of picking 1 a, 1 g, and 1 j?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -0.0581.\nAnswer: 4.5318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + 4*x**2 + 4*x. Let v be 4\/(-10)*3*30\/9. Let i(h) be the third derivative of h**6\/10 - h**5\/4 - 5*h**4\/8 - 4*h**2. Give v*i(q) - 15*r(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 51 - 28 - 30 - 33. Let k be v(45). Solve -4*d + 2*g + 3*g - 6 = 0, 0 = 5*d - k*g + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -13, 1, -2, 0.1.\nAnswer: -13, -2, 0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2002, 16206, 54796, 129964, 253902, 438802, 696856, 1040256?\nAnswer: 1481194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1334241 and 11034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125\/4 + (-72)\/(-96) and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*(-18)\/54?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (9 + 33 - 38).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 17*f - 2. Let x be u(13). Let s = x - 33. Calculate the greatest common factor of s and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(44\/20).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 13*s**2 + s + 11. Let u be x(13). Is u greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p. Let o(u) = 338*u**2. Determine n(o(f)).\nAnswer: -2366*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.781 rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -44) + 2 + 0 + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 48 - 54 - 53 - 27*r**2 + 1.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116258\/10 - 448\/160?\nAnswer: 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60\/83 + -826\/913. Which is the nearest to -49\/4? (a) -3\/7 (b) 4 (c) h (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 577 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-31)*2 + 17324\/(-4402). Put 60, g, -3 in descending order.\nAnswer: 60, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.3909588 to 2 dps.\nAnswer: -83.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -1221 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-4))\/(20 - -1). Put -1.7, -5, -0.1, 2, l in increasing order.\nAnswer: -5, -1.7, -0.1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 42 = 3107*d - 3102*d - 2*v, -10*v - 20 = 5*d + 40 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 30*n + 27. Let s be h(-24). Suppose l - s = -131. Calculate the smallest common multiple of l and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -12\/11*r**2 + 18\/11*r - 2\/11*r**3 + 28\/11 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -24*c - 1034. Give p(-55).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/((-6)\/2) - (-37389)\/11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20827340 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 271431020 and 583.\nAnswer: 2985741220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -18*g - 32. Let k(n) = -7*n - 13. What is -5*i(b) + 12*k(b)?\nAnswer: 6*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -119*g**3 + 49*g. Let c(x) be the first derivative of -5*x**4\/4 + x**2 - 2425. Give 49*c(f) - 2*o(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -84*j**5 - 31216*j**4 - 410796*j**3 - 440576*j**2 + 1711248*j + 515520 = 0.\nAnswer: -358, -12, -3, -2\/7, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(-1 + 0 + 3)*((2 + 0 - 3)*(4*y - 3*y + y) + 2755*y - 450 - 779*y + 453) to the form s*y + r and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8127*g + 142594 = -670106 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, l: 1, b: 8, q: 2}. What is prob of sequence lu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teoetmeoeoom. What is prob of picking 1 e and 2 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 7049325.\nAnswer: 91641225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 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: b\"What is the vth term of 161092, 161095, 161098?\n\"Answer: 3*v + 161089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3306 + 9775. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*p + 398 = -4387 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-2\/3)*n))\/(((n**(-2)*n)\/n)\/n))\/(n\/((n**(2\/9)\/n)\/n)*n**(-4)\/n*n)*n*n**(-4\/7)\/n*n\/n**(-4\/7)*n*n**(5\/2)*n*n**(-2) assuming n is positive.\nAnswer: n**(109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(108)*-3*3)**2 + 3*(sqrt(3)*3*3)**2.\nAnswer: 9476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293.0000371 + -293. Round w to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58564*p**2 - 35816*p - 5476 = 0 for p.\nAnswer: -37\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 + 620*p - 618 = 0 for p.\nAnswer: 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 1713*n - 127734 = 211*n - 35694 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 405 = -15. Let y(m) = 7*m**2 + 35*m + 35. Let w(q) = -q - 1. Determine l*w(s) + y(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375122479?\nAnswer: 3375122479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*f + 38*f + 648 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/7, -2, -0.02, -1\/6, 19\/17, 0.3?\nAnswer: 19\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12870 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2380*t*x**4 + 4502*t*x**3 - 18*t*x**2 - t + 22*x**2 - 2*x - 615 wrt x.\nAnswer: 57120*t*x + 27012*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 23 = 4*g - 2*g, -5*u + 19 = -g. Let n(c) = c**2 - 2*c. What is the smallest common multiple of n(g) and ((-180)\/(-120))\/((-6)\/(-8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733068 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52218, 52583, 52940, 53289, 53630, 53963?\nAnswer: 54288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = -4. Let w be 12\/(-16)*y\/10. Which is the closest to -9? (a) w (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23465 is divided by 4672?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6369?\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 + -45006531?\nAnswer: -45006614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21774.\nAnswer: 2, 3, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 9\/8 (c) 3\/4 (d) 0.11 (e) 67.5 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117574 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-9))\/k**(3\/4))\/(k*k\/k**(-2\/5))**(-2\/7)*(k**(1\/4))**46\/(k**(3\/4)*(k\/((k\/k**(-2\/5)*k)\/k))\/k) assuming k is positive.\nAnswer: k**(773\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*d = -28253 + 9035, 2*d - 7688 = -2*n. List the prime factors of n.\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -290 (b) 16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y**2. Let b(w) be the second derivative of -5*w**3\/3 + 11*w. Give j(b(o)).\nAnswer: 1100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = -4 - 10. Let o = 2138.01 - 2138. What is the nearest to o in -0.2, 9, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 12, -h = 3*h - 2*f - 12. Suppose 0 = h*y + 33 - 153. Calculate the remainder when 70 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 39733302263\nAnswer: -39733302259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 142152696 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -84361?\nAnswer: -84364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.7685 rounded to 1 decimal place?\nAnswer: 195.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -10, -4*s + 4*i = -s - 2797. Is 48 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2744)\/184 + (-20)\/230?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2150 + 2695 - 6*i**3 + 2*i**2 + 3*i**2 - 43*i**3.\nAnswer: -49*i**3 + 5*i**2 + 545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p - 47. Determine r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62270341.\nAnswer: 7, 179, 49697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4111*o + 495*o + 1 + 574*o.\nAnswer: -3042*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 0*d**3 + 612*d - 4 + d**4 - 616*d in the form v*d**4 + x*d**3 + u + y*d**2 + s*d and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*s - 77*s + 1035 = 113*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4147 or 4151?\nAnswer: 4147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 20*i**2 - 100*i - 83. Give c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 145, 163, 197, 253?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/(-16) + 4 - (-76)\/176. What is the nearest to 1 in 1\/6, o, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1528*j - 4678 - 155003 = 53*j for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:44 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 399\/45 + -7*45\/35.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 21*z**2 + 18*z**2 - 70*z**2 + 28*z**2. Let h(u) = 4*u**2 + 8*u**2 - 2*u**2. What is r(h(q))?\nAnswer: -300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r + 110. Let s be b(-17). Suppose -2 = -n - n. Suppose 2*u + n = -2*p - u, -u + 13 = -p. Is s > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/2*(52\/16 - 3). Is w equal to -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 77870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -572, -1513, -2830, -4523, -6592?\nAnswer: -9037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t - 34. Calculate m(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - ((11 + -23 - -8) + -12 + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2082376, -2082394, -2082426, -2082472, -2082532, -2082606, -2082694?\n\"Answer: -7*h**2 + 3*h - 2082372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 8, 26, 52, 86, 128, 178?\n\"Answer: 4*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 55. Which is the third smallest value? (a) 2\/15 (b) -25 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2\/7 - 3120*x\/7 - 20468 = 0.\nAnswer: -731, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {v: 1, b: 2, i: 1, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*(15\/(-3))\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5331102 (base 6) to base 14.\nAnswer: -6b050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179210.\nAnswer: 2, 5, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -139*t + 142*t + 8*q - 15 - 32, 0 = -11*t - 3*q + 114 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 556 (c) 16.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 6*u**3 - 15*u**3 + 2453 - 2442 to the form i + r*u + w*u**3 + t*u**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m - 13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4240 + -432102?\nAnswer: -441342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 76. Suppose -5 = -3*v + f. Solve -2*w = r + 4*r - v, -21 = -5*r - 3*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734315278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m**2 + 9*m - 9. Let r be s(1). Let h be (-51 + r)*((-7)\/2 + 0). Let o = h + -75. Solve -2*i = -6*i + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*c - 5132 = -1662*c - 17846 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6271120 to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 42*i + 6*i + 37*i + 3*i**2.\nAnswer: 4*i**2 + 85*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -9) + -5 - (1 + -3). Suppose -4*n - f*a = -0*a + 324, n = 5*a - 59. Let w = n - -226. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*11\/(66\/(-30)). Suppose 0 = 3*x + j - 3*j, 2*j = -4*x + 14. Suppose x*o = -3*o. Put o, 6, g in descending order.\nAnswer: 6, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -52*m**3 - m**2 - 388*m. Let y(z) = 208*z**3 + 4*z**2 + 1552*z - 1. Let i(h) = -9*d(h) - 2*y(h). Find the second derivative of i(f) wrt f.\nAnswer: 312*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a**2 + 1. Let d be z(3). Let h be 20\/d + 684\/(-8). Let n = h - -90. Solve 0 = -0*l - n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10231415 + 1?\nAnswer: 10231420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 246. Suppose 3*p = -2*v - p + 80, -v - 3*p + q = 0. Calculate the remainder when v is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320221 (base 4) to base 2.\nAnswer: -111000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23590 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 - -337. Suppose -s*t = -28*t - 415. Solve -t = 12*y - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000587739 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*q - 21*q + 17 + 19. Sort -4\/7, 2\/13, q, 0.11 in ascending order.\nAnswer: q, -4\/7, 0.11, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-72800)\/(-42) + -10 - 32\/(-12) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-26)\/312).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -70, -12846 in descending order.\nAnswer: -1, -15, -70, -12846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101587 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.05 - -7. Let t = -35.95 + v. Let h = 35.999943 + t. Round h to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705247921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 418 and 0.251.\nAnswer: 418.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/3637 and 145\/7488.\nAnswer: 27233856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625 divided by -328?\nAnswer: 5625\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1019 - -1020. Put x, 3, -2167 in ascending order.\nAnswer: -2167, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 307 = 3*m + x, 2*x + 2 = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 + 17*v**2 + 27*v + 21. Is i(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 1002185*h**3 + h + 2*h + 1002186*h**3. Let n(t) = -t**2 - 3*t - 3. Let b be n(-3). Determine l(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5854\/19 - -308. Which is the second smallest value? (a) 0.1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, 2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8100276?\nAnswer: 2, 3, 97, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 10 = 3*u - 14, i - u - 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(1900))**2 + -5 + (-4 + sqrt(19) + sqrt(76)\/sqrt(4) - (sqrt(190)\/(sqrt(40)\/sqrt(4)))**2).\nAnswer: -34228 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/8 - 5\/(-5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/20 + 5*b**4\/6 + 11*b**2\/2 - b. Suppose -3*i = -0*i - 30. Let c be n(i). Solve -h = -5*x - c, 4*x + 2*h = 5*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 2. Let t be 27*(16\/h - -3). Solve 0 = 5*j + 5*a - 44 + t, -4*j + 19 = a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -3642451.\nAnswer: -3642451.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3525988 (base 11) to base 2.\nAnswer: 10111011111001100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33807036.\nAnswer: 2, 3, 2817253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**3 + 42*i**3 - 16*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 5*j, 102*j = 107*j. Let x = -9 - -34. What is the greatest common factor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.6176 nanograms in kilograms?\nAnswer: 0.0000000004766176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -16\/103, 3, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*d + 30*d + 18*d + (-4 + 2 + 0)*(-d + 0*d + 0*d)*(0 - 2 + 3).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 159 + 33)*(-3*a + 5*a - 5*a) to g*a + y and give g.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4 + 2 + 6*d**2 - 4*d**2 + 6*d**4 - 7*d**6. Let t(o) = -o**6 + o**4 + 1. Let c(l) = q(l) - 6*t(l). Find the third derivative of c(b) wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(2\/4)*2. Suppose 199 = q*m + k, 2*m - 3*k - 97 = -6*k. Let x = -2 + m. Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4824 by -402.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 6 + 6 + (-2 + 0 + 5)*(-2*o - o + 2*o) - o - o + o to the form a + x*o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -2*b - 2*o, 0 = 5*o - 15. What is the lowest common multiple of b and -9*4\/3 + 61?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1953)\/(-27))\/7 + 5\/3. Let c(i) = 2*i**2 + 12*i + 10. Let p be c(-6). Solve s*y + 6 = p*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3638, -14590, -32852, -58430, -91330, -131558?\nAnswer: -179120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = 0. Suppose -67 = 6*f - 3*f - 4*l, l = -2. Let s be (-48)\/30*f\/10. Solve r = x + x + s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 5*m**2 + 2*m - 1. Suppose 2*v - 4*y = -14, -2 = -4*y + 3*y. Let l = v - -3. Suppose 4 = -b - l. Determine w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49227.\nAnswer: 3, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -46*(27\/(-6))\/9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71\/13 + 199\/104. Suppose -f + 2*o - 10 = -172, o - 174 = -f. Let l = -1389\/8 + f. What is the common denominator of c and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -27. Suppose 0 = 3*n + 3*x + 147, r*x - 110 = 2*n - 24. Let b = n + 177. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1996, 2000, 2016, 2050, 2108, 2196?\n\"Answer: y**3 - 3*y + 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15701876 and 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4407, 35524, 119983, 284454, 555607, 960112, 1524639, 2275858?\n\"Answer: 4445*m**3 + m**2 - m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 223. What is q(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.97. Let h = 0.38781 + 0.11219. Which is the closest to 1\/4? (a) h (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*3\/(-9) - -82. Suppose 0 = 3*z + 4*t - f, -2*t - 2*t = -z + 17. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 9, -6*i + 7*i + 135 = 5*u. Let j = i + 130. Let m be 20\/6 + 3\/(-9). Solve 4*d - 2 - m = x, d + j = 4*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 - (-37 - (-36)\/2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2782040\/21 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 306.1985 tonnes?\nAnswer: 306198500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4 + 594*n**3 - 58090*n**2 + 1881006*n - 1823508 = 0?\nAnswer: 1, 74, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -10.7. Let x = 21 + -34. Let u = x + w. Which is the biggest value? (a) u (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23499, 23529, 23559, 23589, 23619?\nAnswer: 23649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + d = -20, -f + 5*d = -4*f + 38. Let r be (-2)\/70 - f\/(-10). Let i be 1\/2 + 30\/(-40). Put r, 4, i, 2\/3 in descending order.\nAnswer: 4, 2\/3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 17. Let j be h(0). Suppose 4*a - j = -5. Let q(g) = -g + 2*g**2 - 7*g**2 + g**a + g - g + 3. Determine q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23936361, 47872720, 71809079, 95745438?\n\"Answer: 23936359*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 20. Suppose 4*d + q = -0*q + 55, 0 = x*d - 2*q - 46. Solve -3*r - d + 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071 + 324630.43167.\nAnswer: 324630.36067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5851*d + 93 + 107 = 5811*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23843040 rounded to the nearest one hundred thousand?\nAnswer: 23800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1578, 6461, 14600, 26007, 40694, 58673, 79956, 104555?\nAnswer: 132482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/22*1*-1*-6. Which is the biggest value? (a) h (b) 2 (c) 137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3641 + 6?\nAnswer: 3647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 390 = -8*u + 5*p, -4*u + 2*p = -1578. Let w(z) = -135*z + 6. Let v be w(5). Let b = v + u. What is b rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/238965 and 23\/1491.\nAnswer: 118765605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/((231\/2002*1)\/((-6)\/8))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 23 + 9 = 3*q, 0 = 5*y + 4*q - 105. Let m = -98 + 101. Suppose 41 = m*p - 103. What is the remainder when p is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950*0.011.\nAnswer: 10.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3699 + 3729. Calculate the highest common divisor of n and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35+-893683777\nAnswer: -893683742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 17*k - 539. Calculate the remainder when 62 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 91, 0, 215208, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 7*g**3 - 4*g + 0*g.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809583.\nAnswer: 7, 53, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-2 + -8 - 0 - (275 + -276))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 7*b + 1. Suppose 12 = -0*f + f. Let s(z) = z**3 + 12*z**2 - 12*z + 19. Let d be s(-13). Suppose -3*x = d + f. Give k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = -3*v + 4426, 0 = l - 4. Let h = v + -785. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1386 * -1\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - 0.11. Let y = -29\/15 + 3\/5. What is the smallest value in y, 1\/3, k, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -624 - -627. Suppose 0 = -2*x - m*c + 64, -3*x + 118 = c - 2*c. What is the remainder when 873 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*(-1)\/(-1). Suppose 42 = -w*x + 5*x. Let n = x - 10. Solve -n*o + m = -7, 2*m = 2*o + 3 - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/(3\/(-18)). Suppose -c - 25 = -2*y, -h*y + 62 = c + 12. Calculate the highest common factor of y and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 53*z**2 + 2434*z - 2434*z - 23*z**2 - 87*z**2.\nAnswer: -168*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 6*v + 9. Let f be g(7). Let y be 3 + (5*-10)\/f. Let h be 245\/77 + 4\/y. Solve -c + 1 = -n, -31 = -2*c + 6*c + h*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14853 - -15187. Solve 2*w - b = -338 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*q - 32 = -113*q - 4*m, 2*q + m - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744784933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 358*t**3 + 5*t**2 - 3*t - 35. Let y(l) = -361*l**3 - 7*l**2 + 4*l + 36. Let v(j) = -4*p(j) - 3*y(j). Find the third derivative of v(s) wrt s.\nAnswer: -2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 546 - 546. Which is bigger: p or -9\/25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(13\/(-91))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*r)*(-11*r**3 - r + 0*r**3 + 0 + 2).\nAnswer: -22*r**4 - 2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.2, -947, 0.4, 0, 1\/498?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k - 45*k + 2*i = -111*k - 476, 2*k + 4*i - 21 + 127 = 0 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 - 392 = -2*b, -5*z + 4*b + 416 = 0. Suppose z = 4*a + h, 0 = a + a + h - 38. Solve 0 = y - 19 + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 1 - 20*l - 587*l**2 + 6*l + 5*l - 85*l**2.\nAnswer: -672*l**2 - 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 78520.\nAnswer: 78520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*m + 5)*(1350 - 57 - 92 + 1689).\nAnswer: 5780*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 81*n - 14. Let i(y) = 345*y**2. Determine f(i(p)).\nAnswer: -119025*p**4 - 27945*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 19*q**3 + 13 + (3 - 4 - 5)*(4*q**3 + 3*q**3 - 6*q**3) - 2*q**3 - 2*q + 2*q)*(-4 - 1 + 6) to the form b*q**2 + v*q**3 + m + f*q and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 327?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 + 252*v**3 + 957*v**2 - 252*v - 960 = 0. Calculate v.\nAnswer: -80, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951026497.\nAnswer: 30707, 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j + 5. Let s(n) be the second derivative of -n**2\/2 - 3807*n. What is h(k) + 6*s(k)?\nAnswer: -15*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 - 125. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*o + 60, 3*o = -366*b + 367*b + 45 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -96. Suppose 5*c = -h + 8. Let l be -12 - (20\/(-15))\/(c\/6). Is l less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 69 = -39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -230106 rounded to the nearest 100?\nAnswer: -230100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 120*u + 3*u + 117*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 16) to base 14.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 3\/80, -2\/13, -0.3?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 217*z + 129966. Let m(q) = q. What is m(h(x))?\nAnswer: 217*x + 129966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590, -584, -568, -536, -482, -400, -284?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 42*l**3 - 52*l**2 + 104*l + 12. What is i(4)?\nAnswer: 2284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221496 and 88?\nAnswer: 221496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j + 1. Let x be m(-11). Let f = -202 - x. Let h be -2 + (-2)\/(64\/f). Which is the closest to 1? (a) -2\/13 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-11 + 1025\/100)\/((-22)\/24). Which is the nearest to 0.1? (a) -2\/5 (b) 6 (c) x (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 3. Let l be (-3)\/(-5)*2\/6. Sort -2, o, l in increasing order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -32. Suppose -5*n = -12 - f. What are the prime factors of 1*15\/n*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7586684.03 rounded to the nearest 100?\nAnswer: -7586700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -6, 2\/7, 4, 3\/157?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9185, -36683, -82511, -146669, -229157?\n\"Answer: -9165*b**2 - 3*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - 23. Let d = -17.5 - f. Round d to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times -16515.7\nAnswer: -2312.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let m = -358 + 353. Let j = 1.4 - 5.4. Which is the closest to j? (a) z (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - 1\/(-3). Let g = 5.7 - 11.8. Let k = 6 + g. What is the closest to c in 5, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1 + 5*k**2 - 3*k - 7 + 1. What is the tens digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 7 = -1. Suppose 2*d + 5*g = -5 - 2, -2*g = d + r. Is 8 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 70 - 98 = 0. Suppose 9*d - 17*d - z = 0. Which is the nearest to 1\/4? (a) d (b) -5 (c) 41\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 21, -3\/7, -3\/4, 46.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(288) - (2*sqrt(288) + 2)) + sqrt(288) - 6*sqrt(288)*-1)*1)**2 + 4.\nAnswer: -1440*sqrt(2) + 51864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -2793, 102, -0.1.\nAnswer: -2793, -6\/5, -0.1, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:27 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559400 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**4\/4 - 2*l**3 - 2*l**2 + 3*l + 6. What is the units digit of f(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322213 (base 4) to base 11.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 2236*f - 90. Give h(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 16. Let b be j(0). Let p(s) be the second derivative of s**5\/20 + 4*s**4\/3 - s**3\/6 - 5*s**2\/2 - 3*s - 1. Let x be p(b). Is x greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 - b**5\/20 + b**4\/24 - b**3\/6 - 3*b**2. Let j be n(3). Suppose -j*w + 10 = -10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5374*-5\nAnswer: -26870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7346656 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 593*h - 13638. Let l be m(23). Which is bigger: l or 75\/668?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s + 1. Let q(j) = j. Determine b(g) - 3*q(g).\nAnswer: 12*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1 + 5*l)*(-188*l - 1854 + 1854) as m*l**2 + y + s*l and give s.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 19, 36, 59?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/29, 2, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(-47)*((l\/(l*l**(2\/3)))\/l*l)\/l**(2\/13) assuming l is positive.\nAnswer: l**(1190\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-330)\/(-7))\/((-13)\/(-91)). Let g = -2891203\/13 + 222070. Let p = y + g. Put 0.5, p, -1, 1\/4 in decreasing order.\nAnswer: 0.5, 1\/4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -27 + 57 + -20\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6039 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -5 (b) -45 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {g: 4, e: 5, i: 1, c: 3, k: 1}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*w + 304*w = -990. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4792135\/(-245179))\/((-5)\/(-22)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1, -0.09, 2.\nAnswer: -1, -0.09, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -12. Let c = 13 + r. Suppose 3*p + c*t - 7 = 26, -2*t - 54 = -3*p. Calculate the remainder when 46 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -12, -10, 660.\nAnswer: -53, -12, -10, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q - 48. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/9 - 2 - (-652)\/(-6). Let s be ((c\/(-15))\/(-9))\/(1\/(-360)). Suppose v = -0*v + 32. Calculate the greatest common divisor of v and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*z + 50, 57*m - 2*z = 61*m - 92. Solve m*p = 23*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 - 24*r - 20. Let q(h) = -10*h**2 + 36*h + 30. Let u(a) = -5*q(a) - 7*y(a). Let t be u(15). Calculate the highest common divisor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 - 7*h**2 - h + 6. Suppose -k - k = -10. Let i be f(k). Suppose 3*p - i + 70 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6702537mm in meters?\nAnswer: 0.0006702537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34863 divided by 3.\nAnswer: -11621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 93770776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 - -0.1.\nAnswer: 109.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 927.222 to the nearest ten.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5690?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 35*k**3 - 898*k**2 + 2137*k + 41. What is t(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 39*n. Let u(i) = -i**2 - 115015*i. What is u(t(v))?\nAnswer: -1521*v**2 - 4485585*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 3037787?\nAnswer: 30377.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:35 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99626?\nAnswer: 2, 109, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/5*(-3 - (-3)\/6). Sort y, -2, -20, -1.\nAnswer: -20, -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20329*k - 4*s = 20336*k - 10, 27*s + 27 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 157*j. Let t be n(6). Let a = -639 + t. Suppose -3*p = -a + 90. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 3. Let i(j) = -2*j - 2. Let g(y) = -30*y + 24. Let m(u) = 46*u - 37. Let n(r) = 8*g(r) + 5*m(r). Let c(h) = i(h) + n(h). Give 3*c(q) - 5*t(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 241923470 to the nearest 1000000.\nAnswer: 242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/290 and -81\/1060.\nAnswer: 30740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 5*i**2\/2 - i - 1. Let f(k) = -k + 1. Let c = -10 + 11. Give c*m(v) + 3*f(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -10. Let g = 641 + -608. What is the least common multiple of v and g?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 63 = -2*p - 73, 0 = 3*w + 47*p - 33*p + 78 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1567, -1926, -2287, -2650, -3015, -3382, -3751?\nAnswer: -4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 821 = 264. Let o = -154 + v. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**7\/525 + c**5\/50 - c**4\/30 - 2*c**2 - 176*c. Factor z(t).\nAnswer: -2*t*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w + 6*w + 2*w**2 - 1 + 86*w**2. Let l be 18\/(2 - 8) - 0. Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 1. Let h(a) = 3*a**2 + 2*a + 48. Let r(o) = -4*o**2 - 3*o - 66. Let m(w) = 11*h(w) + 8*r(w). Calculate m(q) + 2*v(q).\nAnswer: -q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*c - 1522 + 1522 to b + i*c and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 73*j. Let h(f) = 8*f**2. Calculate h(i(s)).\nAnswer: 42632*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.59 + -0.19. Let i = g + -2.445. Put 1\/2, i, -1 in descending order.\nAnswer: 1\/2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -115*l**2 + 354. Let w(x) = -23*x**2 + 71. Let h(d) = -2*s(d) + 11*w(d). What is the first derivative of h(p) wrt p?\nAnswer: -46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.9, -9, -3.7.\nAnswer: -9, -6.9, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*(0 - 2\/18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 157678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*g + 13*g + 138*g + 2*g + 4*g**3 - g - 5*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 16 + 41 = 0. Let r = s - -52. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 89\/314, -2, 6, -1\/12, 0, -4?\nAnswer: 89\/314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -80*l - 356\/3*l**3 + 45 + 36\/5*l**5 + 24*l**4 + 152*l**2. Factor p(y).\nAnswer: 4*(y - 1)*(y + 5)*(3*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-4)\/3) - 0. Suppose 0*v + x*v - 51 = 0. Let h = v - 12. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 + 229 = -5*d + 4*b, 4*d = 5*b - 380. Let s = -48 - d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -60 - 0. What are the prime factors of ((l\/25)\/1)\/((-3)\/470)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 9*x - 6. Let q be t(4). Find the third derivative of -4*m**2 - 30*m**2 + 9*m**q + 65*m**2 + 8*m**6 wrt m.\nAnswer: 2040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 s when three letters picked without replacement from {m: 6, s: 9, y: 3, h: 1}?\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31484 times -6573\nAnswer: 206944332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7361.172 - 6426.15. Let w = 934 - t. Round w to two decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/109427 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -39*v + 5. Suppose 2*w + 8*k - v*k = 19, 2*w + 1 = k. Solve w*a = -3*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 2*d**2 + 5*d + 3. Let y(p) = -p**3 + p**2 + p + 1. Let b(l) = -c(l) + 2*y(l). What is the remainder when 32 is divided by b(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*o + 12 - 0, -4 = -o. What is the greatest common factor of p and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(52) + sqrt(1053)*2 + 0.\nAnswer: 5 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 16 + 0*t)*(t + 3 - 3).\nAnswer: -t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1553 + 137*b - 1552 - 63*b to the form p*b + c and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.03423 bigger than -1187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6465, 6469, 6473, 6477, 6481?\n\"Answer: 4*u + 6461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -279*r**2 - 73*r + 73. Give g(1).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + (1 - (5 + 0)). Let k(c) be the third derivative of 0*c**4 + 0*c**7 + 0*c**3 + 0*c + 0 - c**2 + 1\/168*c**8 - 1\/60*c**b + 0*c**5. Factor k(h).\nAnswer: 2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-4)*(0 + 0 + 376). Suppose -2*x - s = -4*z, 0 = -62*x + 61*x + 3. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 24*x - 25. Let m(v) = -v**3 + 3*v**2 + 2*v + 3. Let t be m(4). Let d(w) = 4*w**2 + 26*w - 26. Let y(q) = t*d(q) + 6*p(q). Factor y(f).\nAnswer: -2*(f - 5)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 3 = -2*m - 2*z, -4*z = -2*m + 38. Suppose -133 = -m*l + 4*l. Suppose -5*t + 44 = -t. What is the remainder when l is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b + y, -2*b + y + 0*y = -13. Let r(n) = -n**3 + 3*n**2 - 1. What is the remainder when r(-2) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3744*f - 3935*f + 7370*f.\nAnswer: -309*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -34*u**3 + 11*u**2 + 2*u - 4. Let i(c) = 17*c**3 - 5*c**2 - c + 2. Let b(g) = 13*i(g) + 6*j(g). Calculate the remainder when 56 is divided by b(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.29815 microseconds to hours.\nAnswer: 0.000000120638375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.466254 to two dps.\nAnswer: 9.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/2 + 85185*d - 511101\/2 = 0.\nAnswer: 3, 170367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 22*k + k.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004376 rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678614953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 8*h + 16*h + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869279429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from zidilzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 47\/9 - 14\/63. Solve 2*l + 2*c = -16 + 6, -3*l - 15 = k*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 4)*(3 + 0 - 1)*(-2*b - 5 + 5) to the form d*b + t and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 33, -158, -425, -768, -1187?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8) + 47 + -68?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a - 50 + 10\/3*a**3 + 5\/2*a**2. Find the second derivative of m(l) wrt l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 + 43. Let y be (6 - 7)\/(8\/j). Are 6 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 - 137. Suppose k*j - 3231 = 1722. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3010 and 249130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140244 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from ddddrvdvdrdd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/120 - 7*u**5\/60 + u**4\/4 - 3*u**2. Let p be l(6). Which is bigger: p or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.81 - 4.81. Let n = -12 + 13. Which is the closest to -2\/7? (a) n (b) -2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 113.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*w - 2*y, 0 = -w - y - 0*y. Solve -2*z = 12 - w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + -16. Let r = v - -35. Factor -r*z**2 + 4 - 31*z - z**2 + 23*z + 5*z**3 - 3*z**2.\nAnswer: (z - 2)*(z + 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/3 - 14*g**4\/3 + 14*g**3\/3 + 46*g**2\/3 - 88*g\/3 + 40\/3 = 0.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 766 = -261. Let d be (-3*2)\/(-3) + n. Let b = d - 17. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 41, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583057 is divided by 12675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1642, -38, 2, -4.\nAnswer: -38, -4, 0.1642, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 544 - 496. Suppose 51*t - r*t = 588. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 6*o + 3. Let x = 12 - 6. Let b be m(x). Let y be (-2 + 62)\/(-10) + 15. What is the biggest value in b, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 8. Let v(i) = i**3 + 4*i**2 + 5*i + 4. Let g be v(-2). Let j be 2\/(-7) + (-4)\/(-14). Solve j = -d + b - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1208\/(-20) - -2)*-5. Let c = -810 + v. Let m = c + 937. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4252 - 21257\/5. Factor 12\/5 - 3*p + y*p**2.\nAnswer: 3*(p - 4)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.7 + -8. Let k = -0.4 - h. Let m = 2.93 + 1.07. What is the closest to -2\/7 in m, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1963 + 6587. Suppose -22*d + 14*d = -p. Is d a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 3)*(-70*t**5 + 12*t**4 - 11*t**4 - 5 + 6).\nAnswer: -700*t**5 + 10*t**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10903 is divided by 2628?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**4 - 41*l**2 + 43?\nAnswer: 8*l**3 - 82*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (9 + (0 - (-3 + 3))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218835000 rounded to the nearest 100000?\nAnswer: 4218800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {v: 1, o: 1, c: 1, e: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54641 + -4?\nAnswer: 54636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 2*k**2 - k. Let o(d) = -35*d + 7*d**3 + 6*d**2 - 9 + 6 - 2*d - 9. Let m(z) = -2*o(z) - 6*y(z). What is the derivative of m(v) wrt v?\nAnswer: -6*v**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -49 - 3*v**2 + 128 + 3*v - 33 - 45 - 4*v. Let a(n) = -16*n**2 - 4*n + 6. Give 4*a(f) - 22*w(f).\nAnswer: 2*f**2 + 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**3 + 3*l**2 + 6. Let m(u) = 4*u**3 + 2*u**2 - u + 6. Let j(t) = -4*m(t) + 3*p(t). Let a(k) = -3*k**3 + k**2 + 4*k - 5. Give -6*a(f) + 5*j(f).\nAnswer: -2*f**3 - f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 5*i)*(16*i - 6*i + 5*i).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 4*k**3 - 2*k**3 + 5*k**3 + 7017 + 6*k**4 + 5*k - 7019 - 2*k**2 in the form h*k + x*k**2 + g + b*k**3 + m*k**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 13 + 5. Let a be -1*(-2 - -4)*-1. Solve c = g + a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*p - 12, 2*c - 3*c + p = -6. Let m(z) = -z**2 - 2110*z - 12595. Let d be m(-6). Solve -3*a + c*o - o + 7 = 0, 5*a - d = -o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34156?\nAnswer: 2, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 6*g**2 - g + 2. Let s be d(8). Let z = -66 + s. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + 4.3. Let p = 0.314 - 2.314. Which is the third biggest value? (a) p (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*t**3 - 53910 + 53910.\nAnswer: -599*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54717, -109436, -164155?\n\"Answer: -54719*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 171150.9l?\nAnswer: 171150900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k - 167. Determine p(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (sqrt(5000) - 4*sqrt(5000)))*3)\/(sqrt(160) + (-1*sqrt(160) - sqrt(160))*4 + sqrt(160)).\nAnswer: 29*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*-2*sqrt(117))\/sqrt(9) + 4.\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 8377*w**6\/120 - 5*w**4\/24 + 160*w**3\/3 - 34*w**2 - 8. Find the second derivative of i(q) wrt q.\nAnswer: 50262*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38462 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/51525 and -11\/1800.\nAnswer: 412200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = -o - 2*o + 10*h + 20, 3*h - 3 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 + 3. Let u(l) = -4*l**3 - 16*l**2 - 10*l. Let v(w) = w**3 + 5*w**2 + 3*w. Let q = 14 + -4. What is f*u(i) + q*v(i)?\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/36*2*(-56)\/84.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = 9*w - x, 0 = -w + 3*x - 15. Suppose 5*i - 17 + 5 = h, h + 2*i - 16 = w. Which is smaller: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u + 4*x, -2*u + x - 4 = u. Suppose -3*q - 2*y + 3 = 4, -2*q - 4*y - 6 = u. Let w = 4 + q. Solve -1 = 4*r - w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 47. Let u be (6\/(-10))\/(9\/(-90)). Solve -i = u*w - w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/(-4*21\/(-28))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219754?\nAnswer: 2, 19, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(208) + 0 + sqrt(208) - (sqrt(1573) + -2) - -5*((sqrt(13) - (sqrt(13) + (2*sqrt(117))\/sqrt(9) + sqrt(13)))**2 - sqrt(13))).\nAnswer: -8*sqrt(13) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**11\/u)\/u*u)**(6\/7)*(u**(-9))**(6\/13))**(-7\/6) assuming u is positive.\nAnswer: u**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - ((-7 - -5) + (-5 - 14)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1222, -1255, -1318, -1417, -1558, -1747?\n\"Answer: -g**3 - 9*g**2 + g - 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 109?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*d**2*g - 4557*d*g - 6*d + 2*g + 25543138 with respect to d.\nAnswer: 106*d*g - 4557*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 4*h + 3. Let m be w(6). Let i = 225 - 161. Let v = m + i. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -1152*q**5\/5 - 2243*q**2 + 60*q + 5. Differentiate v(u) wrt u.\nAnswer: -13824*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k**2 - 24*k**2 + 42*k**2)*(-2 + 1 - 1) + (9 + 6 - 6)*(1 - k - 1)*(3 - 3 - 2*k).\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/99 (b) 0 (c) 124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 - 374 = -3*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51799859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*u - 11 - 3, -39 = -4*l + 3*u. Suppose m = l*m - 165. What is the units digit of m + 3 + (-8)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.895 rounded to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2580\/389, -2, -2\/25, -1\/5 in decreasing order.\nAnswer: -2\/25, -1\/5, -2, -2580\/389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11135 - 0?\nAnswer: 11135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255221271.\nAnswer: 3, 23, 79, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. What is the third derivative of -6*n**2 + 2*n**2 - n**3 - n**j wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 18, p: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1878 and 4464.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1362 and -1\/22.\nAnswer: 14982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g. Let h be z(-3). Let r be 24\/(-5) + (-3)\/h. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11844 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193259 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.94, -0.2, 2\/11?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3397 + -3380. Calculate the remainder when 419 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 99*g - 2. Let y(b) = 298*b - 7. Give -7*s(c) + 2*y(c).\nAnswer: -97*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953608, 953548, 953488, 953428, 953368?\nAnswer: 953308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)\/q)\/q)**41*(q\/(q*q\/q**0))**(-2\/17))**(5\/16) assuming q is positive.\nAnswer: q**(-10445\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - r - 11 = 0, 0 = 2*p + 2*p - 2*r + 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2*a - 2*a)*(2 + a - 2)*(-11 + 12 + 21) to d + u*a**2 + j*a and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110.999999916 - 111. Round t to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*r - 2236 + 940 = 0, 0 = 4*w - 2*r - 1266. Is (1 + 1 + -1)*w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w - 119*w + 1647 = -27*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*6\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.064 - -3.064. Which is the smallest value? (a) 0.2 (b) p (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 5:41 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(3\/(18\/(-222)))\/((-6)\/6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24471 and 1773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.2530618\nAnswer: -0.0469382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7889, -34546, -79963, -144140?\nAnswer: -227077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71767, 71763, 71757, 71749?\n\"Answer: -o**2 - o + 71769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57838874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3. Let h(o) = 38*o**3 - 92. Let q(u) = -2*h(u) + 14*v(u). Differentiate q(z) wrt z.\nAnswer: -270*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -4.6, 0.3, -1, -570?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 8*b**2 - 8*b - 1. Let w be h(-7). Suppose -312 = w*q - 9*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 h when three letters picked without replacement from {k: 2, v: 1, h: 1, n: 13}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221 + 226. Which is the closest to -1? (a) -0.1 (b) -9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 25*i**2 + 13*i - 13. Let m(y) = 4*y**2 + 2*y - 2. Let a(f) = 39*m(f) - 6*n(f). Let l(c) = -2*c**2. Give a(l(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 22 = -2*j - 0*d, j = -4*d + 36. Solve 0 = -4*c + 4 + j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let p be 21\/(-15) - 4\/(-10). Let g be 6\/(-9)*6\/p. Is g <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Suppose 5*r - 1 - 9 = 0. Find q, given that l*q - 2\/5 + 2\/5*q**r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 2*y**2 + 1448 + 313 + 0*y**2.\nAnswer: y**2 + 1761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114725620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*v**5 + 16*v**4 - 2*v**3 + 24211*v wrt v?\nAnswer: -2100*v**3 + 192*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -d - 7*s + 19, 0 = -5*d - 400*s + 212*s + 199*s - 75 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1100011011001100 (base 2) to base 3\nAnswer: -2120210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*v**3 + 1247*v**3 - 7*v**3.\nAnswer: 1550*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - -0.47. Let q = -0.15942 + k. What is q rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10045 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 4*q**2 + 4*q**2)*(-2238 - 334 - 2181 - 536 + 261).\nAnswer: -5028*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*t + 1629 - 2075 = 4284 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 2, k: 4, j: 3, r: 1}. Give prob of sequence puj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 10\/36045857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 24*f + 3. Let u be h(12). Solve -u*j + 5 + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257461009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooiooooiooooo. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + -8. Put -5, k, 0 in descending order.\nAnswer: 0, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = 9. Suppose 0 = q*f - n - 3, -4*n = f - 0 - 14. Suppose -5*o = -4*o + f. Which is the nearest to 0.2? (a) o (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((19 - (-19 + 49)) + 1)\/((-2)\/(-9))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 569.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/114 and 29\/24438?\nAnswer: 464322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.144 * 5.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(4\/(-8))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17953145?\nAnswer: 5, 7, 43, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -34, 4\/13, 0, 0.8?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o. Let r(p) be the second derivative of p**3\/3 + 5*p. Determine h(r(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 3*i - 30, 3 = -p + 3*i. Calculate the remainder when p is divided by -4*3\/6*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -1\/3, 6\/35?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -34. Let c be (-8 - 0)\/((-12)\/j). Calculate the greatest common divisor of c and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*y - 13, -3*w = -2*y + w - 16. Let g(a) = -a**2 - 10*a - 5. Is g(y) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93e0 + 3?\nAnswer: -93dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/3612240 and 56\/115.\nAnswer: 83081520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1890 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {b: 2, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15\/71 + -41\/142. Sort 3, -0.068, a, 1\/7 in descending order.\nAnswer: 3, 1\/7, -0.068, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765996 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32208069*h**5 + 55169297*h wrt h?\nAnswer: -644161380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12158459.724 and 1.\nAnswer: -12158458.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000164119 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.4\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 9907 and -85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 417 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1261.091538 milliseconds?\nAnswer: 0.000002085138125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12524, -12513, -12486, -12437, -12360?\n\"Answer: i**3 + 2*i**2 - 2*i - 12525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*j - 308, t - 76 = 2*t + j. Let g = t - -136. Suppose -11 = 3*s - 135 - 53. Is g >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 17. Suppose w = -2*d + 6, 0*w + 8 = -2*w. Let f(k) = 2*k + 9. Let h(u) = d*f(u) - 2*g(u). Let t(r) = 2*r + 5. Determine -6*h(j) + 13*t(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 249, 752, 1253, 1752, 2249?\n\"Answer: -v**2 + 506*v - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250328913 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1 + 4. Let b be ((-7)\/w)\/((-9)\/(-27)). Let z(t) = -8*t + 6 + b - 13. Let k(v) = v. Calculate k(z(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let t be j\/(-5) - (-1536)\/(-10). Let x = -41 - t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w**2 + 2)*(-w**2 - 2*w**2 + w**2) + 11*w**4 + 22*w**4 - 3*w**4 + w**4 - w**4 + w**4.\nAnswer: 33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4547 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8894 to one dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1828575 and 3843.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8741.\nAnswer: 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434412 - 112?\nAnswer: 434300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 31376*w**2 - 1107*w + 1108. What are the prime factors of v(1)?\nAnswer: 3, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 + 22 - 67 + 4*y + 0*y - 2 to the form q + i*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 + -57 + -63 + 22?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 - (14 + -1 + -16 + 9)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2\/7, 6.3, -267, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)\/m*m*m**(2\/5) assuming m is positive.\nAnswer: m**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2686217617 - 2?\nAnswer: -2686217620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -23*m - 2. Let s(g) = -46*g - 3. Let u(k) = 9*p(k) - 4*s(k). Let h be u(-4). Let l = h - 38. What is the greatest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3\/3 + 23*y**2 + 75*y + 52\/3 = 0. What is y?\nAnswer: -13, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 1\/11 in increasing order.\nAnswer: 0, 1\/11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1054212 and 9951136.\nAnswer: 11005348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22677, -8, 14, -12 in decreasing order.\nAnswer: 14, -8, -12, -22677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + f - 12 = -3*f, -w + f - 3 = 0. Let h be 1 + (-8)\/7 + w. What is the third biggest value in 3\/2, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = -4*z. Suppose 2 = -z*v + 14. Suppose 0*x - 4*y + 12 = -2*x, -x + v*y = 11. Sort -2, x, 2 in decreasing order.\nAnswer: x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -160, -5, -1, -3, 105 in ascending order.\nAnswer: -160, -5, -3, -1, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, z: 5, t: 1, b: 3}. Give prob of sequence zb.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 7, -677, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4580 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 1448*c + 348623. Determine k(-305).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 8*d**2 - 7*d + 4. Let r be p(7). What is the third derivative of 4*n**r - 4*n**2 - n**2 - n**4 wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -44. Let s = t + 4. Let h be 0\/2 - s\/3. Let z(f) = -f + 7. Determine z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 3523166?\nAnswer: 3523166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.781206 litres to millilitres.\nAnswer: 1781.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -4. Let c be ((-141)\/(-15) - (-4)\/(-10))*l. Sort c, -0.5, 2 in increasing order.\nAnswer: -0.5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82.5684 + -0.1316. Let x = -79 - g. Let v = x - 3.8. What is the closest to 7 in 0, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133068809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 78. What is y(70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + 0 + sqrt(468))**2 + sqrt(468))*6.\nAnswer: 108*sqrt(13) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - 34\/(-8). Suppose 4*l = y + 4*y + 90, 0 = -i*l + 20. Let x be 2\/(-5) - y\/35. Solve 2*r + 3*r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60532 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by -95332.\nAnswer: -95\/47666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9638 - 76875 = -5089*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/20)\/(r*r*r\/(r*r\/((r**(-2)\/r)\/r)*r*r*r)*r))\/(r**(2\/9))**38 assuming r is positive.\nAnswer: r**(-593\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 496*q**3 + 20*q**2 + 15*q - 5. What is k(-1)?\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1302d (base 15) to base 16\nAnswer: -ed79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -385 (b) -4725 (c) 0 (d) -5 (e) -6 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**3. Let r be m(-1). Suppose 154 = r*n + 3*n. Suppose 0 = q + q - 14. What is the highest common divisor of n and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301 - 172*l - 283*l - 2307 + 4608 + 2*l**2.\nAnswer: 2*l**2 - 455*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 87*n + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/20)\/(-6*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-45)\/(45\/(-9))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (2 - 2)) + 1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 49*m - 165 = 52*m, -q + 2*m + 81 = 0. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -429 - -4425604394.\nAnswer: 4425603965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 140443?\nAnswer: 141002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 4. Let j be -6*(r\/(-1) + -646). Suppose 17312 = 4*g - j. Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 + 9 = -3*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d + 5*q - 604 = 0, -5*d - 5*q = -2980. Calculate the highest common divisor of 54 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595028569 is divided by 295.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 2, y: 1, i: 3, w: 3, a: 1}. Give prob of sequence ie.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -61. Solve 9 = 12*w - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.055 - -0.095. Let f = -0.2 + 0.45. Let t = f - p. Which is the nearest to t? (a) 3 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -14. Let i = h + 7. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -738*j**5 - 51921*j**3 + 3664420*j.\nAnswer: -14760*j**3 - 311526*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b*b*b**(-6))\/(b**(-1))**(-48))**(-1\/6) assuming b is positive.\nAnswer: b**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5427, -5426, -5419, -5406, -5387?\nAnswer: -5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184128780592 + 303812421719593\/1650. Let y = p + 120491\/3. Let r = y + -248\/25. What is the common denominator of r and -69\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(3*y - 2*y + 0*y)*(2 + 2*y**4 - 5*y**4 + 4*y**4).\nAnswer: -3*y**5 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 11:37 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-16)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 7*v)*(-4*v + 4*v + v)*(-3*v - 6*v - 2*v).\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 699925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**2 - 64*u**2 - 156*u**2.\nAnswer: -204*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02189383*0.1.\nAnswer: -0.002189383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + z - 10 - 2 = 0, -2*z = -3*q + 3. Suppose p + 2 = -2*g + g, -g = -q. What is the units digit of 160\/25 - (-2)\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37.8 (b) 4 (c) 79.5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -9. Let x(u) = u**3 - 9*u**2 + 22*u - 8. Let v be x(6). Let k = v + g. Solve 0 = 4*a - a - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -373523\/61119 - -2\/6791. Find the common denominator of (-1)\/(1\/3 + (-65)\/(-1677)) and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 193072 - 193075 + 0*r + r. Determine l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-37)\/1776*24)\/((-2)\/3684). What is the greatest common factor of 51 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 105*l**2 - 11*l - 3. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490570670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 161625331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 3. Let s be g(-5). Let q = s + -14. What is the least common multiple of 1 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 - 2975*s**2 + 39370*s - 91200 = 0?\nAnswer: -608, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 681.34509 and 1.\nAnswer: 681.34509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 27*m - 82362. Suppose -w = -3*f + 5*f - m, -3*w = f - 2954. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-l**2 + 3 - l + l)*(0*l + 0*l - 2*l).\nAnswer: 2*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 93*x**4\/4 - 28*x**2 + 42. Find the second derivative of o(u) wrt u.\nAnswer: 558*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3 (c) -0.32 (d) 5 (e) -0.17 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 754 = -16*b + 19*b, 4*v + 506 = 2*b. Calculate the remainder when b is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 2 - -3) + 3 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -166, 3\/38, -0.07?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-160)\/(-140)*2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25915276 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: Two letters picked without replacement from {m: 3, p: 1, y: 5}. What is prob of sequence ym?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20)*-1)\/(21\/13860*-11)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**6 + 21*a**4 + 81*a**5 - 15*a**4 + 0*a**6 - 2605*a**2 - 39*a**4 - 83*a**5 wrt a?\nAnswer: -480*a**3 - 120*a**2 - 792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7297643 from -2778.\nAnswer: 7294865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 13*c**2 + 14*c - 15. List the prime factors of x(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2. Let o be z(4). Let c be o\/(-2) - (1 - 2 - -5). Solve 2*u = -2*a + 1 - 3, 5*a + c = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 0.03. Suppose -d + 70 = 5*q, -d + q + 103 = 21. Let l be (-350)\/d*(0 - 2\/5). What is the closest to -1 in t, -2\/5, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + (-82)\/7. Is (30\/s)\/((-1)\/8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03394 + 0.16606. Sort 5\/6, z, 0.07, -3.\nAnswer: -3, 0.07, z, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33598 + 5*r + 16818 + 16803.\nAnswer: 5*r + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + (-3 - 1 + 5)*(4 - 3 - 2) + 0 + 1 - 2 + 9 - 2 - 2 + 4 - 3 + 1)*(2*y**2 - 3*y**2 + 3*y**2).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/182 - 3\/14. Let j = -2 + 3. Let t be 0 + 26\/(-22) - -1. What is the third biggest value in j, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x + 23*x = 480 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3589, 3591, 3593, 3595, 3597?\nAnswer: 3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664918.9 millilitres in litres?\nAnswer: 664.9189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Let k(r) = -3*r + 0*r - 2*r. Let h(o) = -10*o. Let c(a) = b*k(a) - 2*h(a). Let p(y) = y. Give p(c(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*o + 72, 5*o + 0*f - 3*f - 86 = 0. Solve 0 = -5*q + q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + s**2 - 3*s**2)*(4*s - 6*s + 0*s) + (-3 + s + 3)*(-4*s**2 + s**2 + 4*s**2) + 3*s**3 - s**3 + 0*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 - 43*c**2\/3 + 46*c.\nAnswer: -c*(c - 3)*(c + 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*v**2 + 199*v**2 - 300*v**2 - 220*v**2 to s*v**2 + c + k*v and give s.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from iiiiirrirrrriiiiii?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a + 5*a - 22*a + 14*a - 4. Calculate c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/21 + (-3)\/(-7). Let v(s) = s + 8. Calculate the remainder when v(o) is divided by ((-2)\/6)\/((-2)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2 + 2. Let i be (m + 5)*(-4)\/12. Let t be (4\/10)\/((-9)\/15). Which is the closest to t? (a) 5 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -895 or -857?\nAnswer: -895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -11, -0.05, 40, 3, 0.2, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3862 or 3861?\nAnswer: 3861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 64*d**2 + 118*d + 668. Calculate p(66).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 - 32. Let r = h - 8. What is the greatest common divisor of 49 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000758550975 to 7 decimal places.\nAnswer: -0.0007586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*k + 82*k - 16. Let 0 + 0*d + 1\/2*d**k + 7\/4*d**3 = 0. Calculate d.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/3168 and 149\/2178.\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1196*b + 74147. Determine q(-62).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2830\/9 - 314. Let y = 0.45 + -0.13. Let u = y - 0.02. Which is the third smallest value? (a) u (b) 4\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13232323 (base 4) in base 6?\nAnswer: -402351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 6727215*v + 295987780.\nAnswer: 5*(v - 1345399)*(v - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -40.99999932. What is p rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vty when three letters picked without replacement from kvcycyvkymvvyyvyytmy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13506, -27045, -40608, -54207, -67854?\n\"Answer: -2*s**3 - 13525*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 38 = 5*o, 5*l - 70 = -0*l - 5*o. Suppose -3 = 4*f - 15. Suppose 0 = -v - f*v + 24. What is the highest common divisor of v and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**2*v**3 + 4*r**2*v**2 + 6*r**2*v - 206*r*v**3 - 103061*v**3 - v**2 - 661956 wrt v?\nAnswer: -12*r**2 - 1236*r - 618366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i + 1. Let b be (0 - 3)*(-16)\/(-12). Let w be m(b). Solve -6 = 5*a - w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let l = -95 + 93. Let p = 2\/13469 - 67351\/40407. What is the fourth smallest value in l, p, -1\/6, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -1048*n**3\/3 + 263*n**2\/2 - 4*n - 3763. What is the second derivative of d(q) wrt q?\nAnswer: -2096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42615 at least as big as 42615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/6255*1420\/(-426).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-4*-5)**2 - (sqrt(605) + 3*sqrt(605)*-1)**2.\nAnswer: 69580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*k**3*y + 1975*k**3 + 8*k*y - 2*y wrt y.\nAnswer: 12*k**3 + 8*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365334 - 14*f - 365334.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(6916\/(-104) + 58)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 - 326. Suppose 0 = 5*u + t*g + 14, -2*g - 2 = 2. Put -2\/3, u, 0.4 in descending order.\nAnswer: 0.4, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 9. Suppose 0 = s - 5 - 4. Let m be t(s). Suppose m = x - 8 + 1. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 157*f**2 + 8130*f - 58. What is y(-51)?\nAnswer: -6331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:01 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.16, -5.\nAnswer: -5, 0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1282, 1293, 1312, 1339, 1374, 1417?\n\"Answer: 4*s**2 - s + 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(468)) + 1 + -2 + sqrt(468) + 5 + 2.\nAnswer: 15 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2. Let b(n) = n**2. Let j(p) = -5*b(p) - d(p). Find the third derivative of j(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 115, 2\/3, -7, 7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*d - 4*u - 7, 2*u = 4*d - 20. Suppose 5*g = -5*m - 10, d*g + 4*m = 3*m. Solve z + g + 4 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1878742.8251 to the nearest 100.\nAnswer: -1878700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4038005990 divided by -2?\nAnswer: 2019002995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -9, -1 in decreasing order.\nAnswer: 9, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1) + (-28)\/(-4). Suppose 54 + 6 = s*u. Solve -u + 0 = 3*t, 3*t = g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 8*o + 3*j = -111, -5*j = -3*o + 75. What is the lowest common multiple of o and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-1 - 3) + -16 + 3). Let c be v\/(9*3\/18). Do -68 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -88. Suppose z*p = 5*p + 45. Let f(n) = 2*n**3 + 18*n**2 + n + 11. Let i be f(p). Solve i*s = 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10*h = h + 22418. List the prime factors of h.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4608 and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let p = -0.65 + 49.65. Let x = 52 - p. What is the closest to 2\/9 in x, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13314225 - -5?\nAnswer: 13314234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 4 (c) -3831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 44031677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 69 = 4*h. Suppose 6 = 3*c + s - h, 0 = -c + 4*s + 26. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 0, -5*k = -j - 3*k + 7. Solve j*n + 9 = 44 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -317*r + 4. Let k(l) = -634*l + 7. Calculate 7*d(g) - 4*k(g).\nAnswer: 317*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j**2 - 1. Let i be b(1). Suppose -3 = -2*o + 3*z + i, -3*o + 15 = -3*z. Let r(t) = -3*t + 5. Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61097*v + 9*g + 39 = -61100*v, 2*v + 155 = -49*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 15668942?\nAnswer: -15668959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 0 - (13 + -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 365\/18 - 703\/36. Let f(r) be the first derivative of -k*r**4 - 14 - 27*r - 45\/2*r**2 - 7*r**3. Factor f(o).\nAnswer: -3*(o + 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9290551 divided by -17\nAnswer: 546503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*r + 2*b + 16, -2*b = 4. Let l(g) = g**3 - g**2 + 2*g + 1. Let z be l(r). Sort 1, 5, z in increasing order.\nAnswer: 1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17575*t - 16837. Determine v(1).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, j: 9}. Give prob of sequence jj.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 10*q - 18*q + 6, -w = 3*q. Which is the second smallest value? (a) q (b) 4 (c) -434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100101011010000 (base 2) to base 5.\nAnswer: -144212231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 358*r**3 + 3668*r**2 - 4488*r - 26496.\nAnswer: -(r - 6)**2*(r + 2)*(r + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + 4*f + 4. Let q be p(-5). Let x = q - -124\/3. Factor 0 - x*v**3 + 1\/3*v**2 + 0*v.\nAnswer: -v**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2081, 2078, 2075, 2072?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 5, 86, -88, -4 in decreasing order.\nAnswer: 86, 5, -2, -4, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033802 to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 6 + -1 - (4 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 9*x - 18. Let i be h(-8). What is the derivative of 26*o**2 - 60*o**2 + 51 + 4*o + i*o**2 wrt o?\nAnswer: 8*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 + 5*f**2 - 2*f - 4. Let d(s) be the first derivative of s**3\/3 + s**2\/2 - s - 10731. What is 4*d(b) - i(b)?\nAnswer: 3*b**3 - b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 9080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from allaglflaaa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/6 - -1) + (-595)\/(-21). Factor 0 - t*y - y**2 - 3*y - 312 + 87.\nAnswer: -(y + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = -3*f + f, -12 = -3*f + 2*l. Let t(n) = 9*n**3 + n**2 + n - 2. Is t(f) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 - -13) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*1.7878828.\nAnswer: 1.25151796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 3*n + 84)*(6 - 3 - 2)*(-3*n**3 - 2*n**3 - 4*n**3).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30821, -23146, -15471, -7796, -121?\nAnswer: 7554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -0.5, -12\/553?\nAnswer: -12\/553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -396 + 404. Let i(u) = -2*u + 13. Calculate i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31421 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 740005*h**4 + 344*h**2 - 1784*h wrt h?\nAnswer: 17760120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 3102*i - 171952*i + 133.\nAnswer: -175054*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2473 - 2468. Solve -l*b - 19 = 2*y, 3*y = -4*b + 2 - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/4 - 189*m**3\/2 - 8043*m**2\/4 + 4698*m + 6615 = 0.\nAnswer: -98, -30, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1) + -7 + -3099994. Round v to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/4 (b) 1 (c) -0.1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 - 13*p**3 - 12*p**3 + 2*p**3 - 2*p + 2*p + 3*p**3 - 4*p**3 - p**3 + (4*p**2 - 3*p**2 - 2*p**2)*(-4*p + 4*p + p) - 16*p**3 - 15*p**3 + 57*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*c - 122, 3*c + 47 = 5*c - o. Suppose 13 = 4*j - 2*p - 15, 4*j - p = c. Find the third derivative of -a + 5*a**5 + a - 10*a**2 - 12*a**j wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2650, -2696, -2840, -3130, -3614, -4340, -5356?\n\"Answer: -8*x**3 - x**2 + 13*x - 2654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164a (base 15) to base 16.\nAnswer: 12bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*((m*m**(2\/11)*m)\/m)\/m)\/m)**30)**26\/(m*m*m**3*m\/(m\/(m**(-1\/5)\/m))*(m\/((m*(m*m*m*m**(-2\/3)\/m*m)\/m*m)\/m))**(-23)) assuming m is positive.\nAnswer: m**(17713\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - q + 1 + q - 1 + (-4*q + 4*q + 2*q)*(2 + 2 - 2) + 0*q + 2*q + 0*q - 3*q + 4*q - 3*q)*(-6*q + 15*q + 2 - 5).\nAnswer: 36*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3\/2 (c) -3 (d) -1613\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - w)*(0 + 2 + 0) + (0*w - w + 0*w)*(-3 + 6 - 1) in the form o*w + u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 2*r + r + (-3*r + 4*r - 2*r)*(-1 - 1 + 0) + 6*r + 1 - 1 + 105*r - 110*r - 600*r - 169*r in the form u*r + s and give u.\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o + y, 7*o - 4*o + 2*y = 17. Let v = -12 - -10. Let b(f) = f**2 + 2*f + 3. Let n be b(v). Solve -d - q = n*q - 11, o = -d + 3*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21963 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*l = -2*l + 748, -2*i + 294 = 4*l. What is the remainder when i is divided by ((-4602)\/295)\/(3\/(-10))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1. Let i(z) = 5*z**2 - 1. Let v(x) = -i(x) + 6*k(x). Let s(u) be the first derivative of v(u). Let n(j) = j**2. Determine n(s(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -539761*h*s + 213812*s wrt h.\nAnswer: -539761*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*i**2 + 12*i - 12*i + 211*i**2 + 43*i**2 in the form w + b*i + q*i**2 and give q.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 16557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372*n**2 + 159*n - 159*n.\nAnswer: -1372*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21678116 and 15304.\nAnswer: 7652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5829, 10.4, 1\/2 in descending order.\nAnswer: 5829, 10.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 = -3*b. Let h(g) = -g**2 + 8*g - 4. What is h(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -274991214045?\nAnswer: -274991214045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/2 - 675*z**2\/2 - 1989*z + 60720 = 0. Calculate z.\nAnswer: -16, 11, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {m: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvv. What is prob of sequence nvvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*d + 41 - 12*d**2 + 65*d + 18*d**2 - 43 to p*d**2 + k + r*d and give r.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1 (b) 4 (c) 9 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1568) + (sqrt(1568) - ((sqrt(1568) - (sqrt(1568) + -1)) + 0)) - (sqrt(1568) + 1)*5) + -1*(0 + sqrt(1568) + 3))*-4 + -3)**2.\nAnswer: 29568*sqrt(2) + 402497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430922455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-39045)\/228)\/(-137)*8\/515\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11598457 divided by -892189\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 15*z - 280. What is the tens digit of (0 - -2 - (11 + -8)) + z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 160 = 4*n + 3*r, 4*r - 52 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8287.\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b**2 - 1. Give l(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29646 is divided by 9882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 - 9 = 0. Suppose -k = -4*z + k + 840, -i*z + k + 628 = 0. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let d be (15 - 3)\/(f\/6). Let o = d - 12. Calculate the highest common divisor of o and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78080 times 2?\nAnswer: 156160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 284*a - 20 + 285*a - 567*a - 5*a**2 to w + v*a + l*a**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-59 + 13 - 21)*(3*w + 2*w + w) as u + c*w and give c.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10081*p + 10020*p - 610 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 1 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-333 - -336) + 2\/(36\/(-34))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13\/4)\/r)**(6\/7) assuming r is positive.\nAnswer: r**(-51\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Suppose -k*c - 5 = 9. Let f be 2 - 3 - (c - -3). Solve -u - f = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2005288 - -3?\nAnswer: -2005285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -559 + 811. What is the highest common divisor of 28 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 496 and -0.1.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 12*l**2 + 199*l + 2393. Determine d(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677578 is divided by 1420.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30, 27, 14, -15, -66, -145, -258, -411?\n\"Answer: -d**3 + d**2 + d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 957.783 and -0.61.\nAnswer: 957.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0361 times 5614.7?\nAnswer: -202.69067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.1. Let g = -197\/4 + 97\/2. Which is the biggest value? (a) z (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-46)\/4) + (-9092020)\/(-905970) - 10?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30704 and 122816?\nAnswer: 122816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15330 > 352596\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-119)\/14)*((-1875)\/375)\/(1*5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (459\/255)\/(-6 + (-294)\/(-50)*1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 1, i: 5, p: 1, r: 3, w: 1, v: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 171.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - (14 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-4 + 10 - 61)*(2 - 1 + 0)*(-21 - 17 - 6)*(-a + a - a) as q*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2480 - 2478. Suppose 17\/4*c**x + 1 - 5*c + 7\/2*c**3 = 0. What is c?\nAnswer: -2, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19694327 to three dps.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 9 - 11 + 8 - m as x*m + y and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7447502*n - 2835845 wrt n.\nAnswer: -7447502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**2*p**3 - 40*o**2*p**2 - 113*o**2*p - o**2 + 324*o*p + 411*p**3 - p wrt o?\nAnswer: 6*p**3 - 80*p**2 - 226*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 348586298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 4:18 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122 - -4.17.\nAnswer: 4.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40135, -40383, -40631, -40879, -41127, -41375?\nAnswer: -41623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 843 + -1206. Let l = m - -360. Let k(f) = -3*f - 7. Calculate k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -12.1. Let m = u - -12. Suppose -11 = -5*i - t, 2*i + 3*t = -7 + 1. Put i, 5, m in ascending order.\nAnswer: m, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -37. Let r = 3 - 8. Let j = r + 9. Sort v, j, 0 in descending order.\nAnswer: j, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, 0.5, -5528?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16737860993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(133)*-1*-1)\/(-2*sqrt(112)*3) + -3.\nAnswer: -3 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -111, -162?\n\"Answer: -51*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yuuyuu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.36395241 + 0.4.\nAnswer: 0.03604759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10894162 or -10894169?\nAnswer: -10894169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 94*h - 333. What is the remainder when 285 is divided by l(43)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172713997?\nAnswer: 61, 2831377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (18 - -9)) + 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 2246\nAnswer: -11\/2246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 118288786 divided by -2?\nAnswer: -59144393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77068 - -77071. Factor 4\/7 - 2\/7*s + 2\/7*s**q - 4\/7*s**2.\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 9, 0, -3, 3 in ascending order.\nAnswer: -3, 0, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 + s**5\/4 + 5*s**4\/8 + 19*s**3\/2 + 2*s**2 - 13*s. Let c be i(-14). Solve 3 = -c*v + 46*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 39 = 4*z, -2*z + 4*g = 3*z - 33. Which is the third biggest value? (a) -5 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 226*g**2 + 2792*g + 311. Give z(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-114)\/(-7))\/((-26)\/(-182)). Solve -312 = -75*c + d*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1}. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 5461\/517?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6059682125 to the nearest integer?\nAnswer: 77844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 141782 + 123073. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(102) - sqrt(102))*-2)\/(2*sqrt(24) - sqrt(6)) - 4*(0 + sqrt(68) + sqrt(68) + 2))**2 + -2.\nAnswer: 800*sqrt(17)\/3 + 43058\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/212*12\/9*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 11000?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 7) to base 9\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 27. What is the remainder when w is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1527.\nAnswer: 21378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1, 5\/6, 2\/7, 31, -0.26, 1?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7ac - -92?\nAnswer: -71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1099 = 9*l + 91. Suppose -5*a + 4*g - 31 = 0, 0*a - 2*g = -4*a - 20. Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9877520 divided by -4?\nAnswer: -2469380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 135*o**3 + o**2 + 4*o + 3. Let k be l(-1). Let w = k - -152. Which is bigger: w or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.59*-0.5\nAnswer: 2.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/(288\/(-45)). What is the nearest to -0.1 in -2, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3544 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -160. List the prime factors of (w\/(-220))\/(-2*2\/1104).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10671510 - -10671511.5999986. Let h = 1.75 - 0.15. Let b = h - j. Round b to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 108303 = 107725 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*v = 602*v + 1836 + 453 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(2*r - 5*r + 2*r)*(-4*r - r + 0*r)*(-1 + 1 + 1)*(2 - 2 - 2) in the form b*r**2 + i*r + z and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392 + -161. What is the highest common factor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 0.44. Let p be 6\/10 - 6291\/135. Let s be 2\/(-14)*p\/92. Which is the nearest to 0.1? (a) s (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 18.3. Let j = 113.3 + f. Let h = 109.9 - j. What is the closest to h in 0.8, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/100*(-1)\/(12\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 10*t = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-78) + (-135)\/72 + 234\/368.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 133*s + 5. Let t(n) = -864*n - 36. Determine 32*d(a) + 5*t(a).\nAnswer: -64*a - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1225\/(-147)*42\/(-20) - (-1)\/2. What is the highest common divisor of v and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0361 (b) -1 (c) 176 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n - 1. Let v be b(-2). Let j(r) = r + 14. Let g be j(-12). Let y = v + g. Calculate the smallest common multiple of y and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5 = -3*a - 12, -22 = 2*i + 5*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 12. Let o be u(6). Let a be 16\/(-2)*6\/o. Solve a*h - 5 - 7 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 899 + -905. What is the third biggest value in -0.7, 0.1, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/30 + 10*d**2. Let n = 8 - 6. Let j(u) = 0*u**2 + 0*u**n - 2*u**2. Calculate q(j(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*j = -2*j + 18, 5*z - 3*j + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 32 = 35, d = -2*c + 18. Solve 19*w - 15*w = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 16. Let z = 14 + m. Suppose 5 = -z*r - 2*y, -4*y - 30 = -4*r - 6. Which is the second smallest value? (a) 4 (b) r (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 25 + 4)*(-3 + 3 - h)*(-3*h - 15*h + 7*h).\nAnswer: -330*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1140 and -37\/25.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 - 32*w**3 + 952*w**2 - 3136*w - 4116 = 0.\nAnswer: -21, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-40)*(-12)\/(-9)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42278920 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let q = -71 - -89. Solve -4*z + 18 = -0*z + u, 3*z + g*u = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(208)) + (sqrt(208) + (sqrt(208) - (sqrt(208) + -2 + 1) - sqrt(208)) - sqrt(208)))*-2*-1)**2.\nAnswer: -128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 + 67*b + 168. What is k(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 373*u**2 - 4*u + 8. Let s(c) = 2610*c**2 - 29*c + 58. Let v(j) = -29*k(j) + 4*s(j). Let a(r) = 13*r**2. Determine -117*a(g) - 4*v(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2186, 2183, 2180, 2177, 2174, 2171?\n\"Answer: -3*f + 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4200 and 39075?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 35*l**2 - 6*l - 5. Let w(n) = -n - 1. Determine -c(m) + 4*w(m).\nAnswer: -35*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 6*j - 3 + 2 + 1 - 2*j**2 + 3. Let n be r(-5). Suppose 770 = 2*w + 4*t, -4*t - n = 4*w - 1701. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37303 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331654389?\nAnswer: 3, 11, 10050133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0*l**4 + 9*l**2 + 1\/168*l**8 - 1\/60*l**6 + 0*l**3 + 0 + 0*l + 1\/105*l**7 - 1\/30*l**5. Let u(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*m = -161*m - 4*l + 20, 0*l + 2*l - 7 + 25 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, x: 3, u: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4984054 divided by -46\nAnswer: 108349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2602 is divided by 322?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2, 3, 0, 3445 in decreasing order.\nAnswer: 3445, 4, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -0.05 (c) 55\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53.889 - 0.111. Let y = -44 - g. What is the nearest to -2\/5 in -4, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153\/5 - 5\/2*f - 1\/10*f**2.\nAnswer: -(f - 9)*(f + 34)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 * 0.612183.\nAnswer: -118.151319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + 230*y**2 - 429*y - 54. Determine m(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 59*a - 122. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Let h(n) = -n. Let r be h(p). Is 12 a factor of ((-1)\/(-2))\/(r\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43879459441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37154 divided by -2?\nAnswer: 18577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/2 - 31520887*q**2\/2 - 248391595077135*q\/2 - 248391563556249\/2 = 0?\nAnswer: -15760443, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j + 2. Let z(w) = -w. Let x(l) = -n(l) - z(l). What are the prime factors of x(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91525.\nAnswer: 5, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 589, 591, 595, 601, 609?\n\"Answer: r**2 - r + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24182*q = -24229*q + 94 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f**4 + 45*f**4 + 9*f**4 - 64*f**4 - 29*f**3 + 29*f**3 + (4*f**2 + 0*f**2 - 5*f**2)*(-f**2 - 4*f**2 + 2*f**2) - 2*f**4 + 1 - 4*f**4 + 5*f**4 + f.\nAnswer: -24*f**4 + f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12266892713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) -3 (c) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -292.2 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 650\/1113 - 2\/159. Let u = 508 + -515. Put 0.4, u, j, -3 in increasing order.\nAnswer: u, -3, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:11 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13)\/g)\/((g\/((g*g*g**(-6)*g*g*g)\/g))\/g*g)*(g\/(g*g**(1\/2)*g)*g)**(-41) assuming g is positive.\nAnswer: g**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06656698 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.037 - 0.063. Let g = u + 0. Let i = -1 - -6. What is the closest to g in i, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.0458\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3986.3 + -0.5.\nAnswer: 3985.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 10. Determine h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2)*(36 + -9). Suppose 4*b - r = 2*m, 4*b - m + 0*m = 59. Solve 0 = -w - y - 2, -2*w + 0*y - b = 5*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-326 + 346 - (-2 + -5))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260314.1 millimeters in nanometers?\nAnswer: 260314100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3755\/11 (c) 1 (d) 983\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**8\/6720 - o**7\/1120 + o**6\/480 - o**5\/480 - o**4\/24 - 5*o**2. Let c(g) be the second derivative of b(g). Factor c(x).\nAnswer: (x - 1)**2*(4*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 7*d**3\/3 - 49*d**2\/3 + 55*d\/3.\nAnswer: d*(d - 11)*(d - 1)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -21 (c) -3 (d) 0.1 (e) 20 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -82525, -83208, -83889, -84568, -85245?\n\"Answer: q**2 - 686*q - 81840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11972 divided by -82\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887802?\nAnswer: 2, 7, 19, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 91. Suppose 3*s - w + 22 = 0. Is (-3)\/(s\/((-20415)\/(-9))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (-3 + 4 + 1)*(3 - 3 - 1) + (-14 - 9 + 6)*(1 + 1 - 1))*(42*h**2 + h**3 - 42*h**2).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 2 = 5*c, -18 = -5*c - 9*v + 22*v - 9*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -10) + -8 + 7 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 637674.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -94.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18500 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(936) - (sqrt(936) + sqrt(936)*-4 + sqrt(936)) - sqrt(936)))\/(-2*(sqrt(2) - ((sqrt(18) - sqrt(2))*-1 - sqrt(2)))).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*i - 10, 19 = 4*s - 2*i - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 2\/165 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 12. Let h = -23 + 33. Let m = h + x. Solve 3*p = -2 - m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387828 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2380 = -14*a. Calculate the remainder when a is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)*c*c**(-36) assuming c is positive.\nAnswer: c**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (12\/(-8))\/(62381\/15598 - (1 + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.5 - 29. Let p = 1.5 + j. Let t = -6 - p. Which is the nearest to -0.4? (a) t (b) 0 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21216.1529 rounded to the nearest one hundred?\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/672*-12)\/(2\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 113*k + 181. Let s be c(-56). Which is greater: s or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10*z*z**(9\/8))\/(z**(1\/6)*z**(-4)))**(-32) assuming z is positive.\nAnswer: z**(-1532\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.48 - -2.1. Let r = w + 0.28. Suppose 8 - 16 = 2*u. Which is the nearest to 1? (a) r (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 1\/120*k**5 + 0*k**2 + 6 - k**3 + 0*k + 0*k**4 + 1\/45*k**6. Let q(o) be the third derivative of i(o). Give q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(5 - d - 5) + 2*d + 0*d + 0*d + 2*d + 2*d - d - 6*d + 0*d + 7*d in the form t*d + m and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 307?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - 2\/(10\/35). Solve 2*w**3 + 10\/9*w**5 + 4\/9*w**2 + 8\/3*w**4 + 0*w + n = 0 for w.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5190 = 5206, 0 = f + y + 4. Let m(v) = 11*v + 32. Let q(s) = 4*s + 11. Let i = -10 + 7. Let p(c) = i*m(c) + 8*q(c). Determine p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**2 + 7*p**2 + 7*p**2 + 7*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 times 0.13\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 8*z - m + 30, 0 = -5*z - 2*m - 44 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:06 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 26 - 35 + 16*o + 9. Give t(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*i + s + 3*s, -s = i - 3. What are the prime factors of (574 - 4) + i\/(-2)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4097260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-2))\/(-3))\/((-29)\/348)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 - (-38)\/(-4). Let u = g + 11. Solve -3*v = 5*z - u, 4*z - 5 = -4*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 w when four letters picked without replacement from {s: 1, w: 1, b: 3, i: 3, k: 1, f: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 15 - 17. Solve -1 = 2*b + 3*z, 2*z = w*b - 7 - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128594 and 17176?\nAnswer: 9773144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*i - 18 - 9, 5*i = -5*n. Suppose v - 4 + 27 = 2*s, 0 = 4*s + 3*v - 31. Let w = s - 4. Calculate the remainder when w is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 65*g**2 + 33214*g - 521. Give f(-511).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d - 4. Let o = -19 + 26. What is the remainder when 167 is divided by y(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*s + 7. Let w = -15.8 + 16. Let a = -7 + 6.8. What is the nearest to -1 in s, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30316 divided by 4?\nAnswer: 7579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.7, 9, 6?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17820848 is divided by 1123?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35112 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-1)*i)*i*i))**(-4\/15)*(i**(-3))**43 assuming i is positive.\nAnswer: i**(-1939\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*w + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*s + 6 + 0 - 6 to the form h*s + w and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 590 + -587. Let y(m) be the first derivative of 0*m**2 - 8 + 8*m + 10\/3*m**n. Differentiate y(o) with respect to o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {v: 1, k: 3, a: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwowyyrgrgwgyroryo. What is prob of sequence rrw?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4*f + 4 - 12.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3452.6822 - 606.3096. Let z = d + -2847. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elelaleeaaaa. What is prob of picking 1 a and 3 l?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-2 - 4*h + 1 - 2*h) + (0 + 0 + 2*h)*(1 - 3 - 3) to l + w*h and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = -4*x + 5*i, x - 4*i = -18. Suppose -2*a + 2*d - 14 = 4, -5*a + x*d = 39. Let p = 10 + a. Solve -9 = -0*t + p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 - 5*q - 1. Determine b(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 270 + 351. Let x = 76 + z. Suppose -32 = -x*v - v. Solve 0 = 4*k - 5*q - 3, -8 = -v*k - 4*q + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**7\/105 + 37*y**5\/20 - y**4\/8 - 16*y**3\/3 - 8*y**2 - 20. Find the second derivative of a(g) wrt g.\nAnswer: 24*g**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2 + 1330*z - 2652 = 0.\nAnswer: 2, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218 - -480. List the prime factors of h.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422014223 (base 5) to base 10\nAnswer: -3704313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m - 23 = -160 + 5. What is the third biggest value in m, 3, -1\/2, 4, -311?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.757 + -0.057. Which is the nearest to 3? (a) -1\/3 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7269*-0.5.\nAnswer: -3634.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2\/203 (c) -1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5117955 and 53\/531.\nAnswer: 15353865","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**2 + 5*v**3 - 25\/12*v**4 + 1\/4*v**5 - 13*v + 0. Factor g(b).\nAnswer: 5*b*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2641\/5421 + -2 + (-10)\/(-6). Let x(s) = s**2 - 5. Let f be x(0). Let h = 0.6 + -1.6. Which is the closest to h? (a) -0.3 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9274700 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 357\/(-9) - 2\/(-24)*-4. Let x be (2\/4)\/((-4)\/r). Solve -x*f = 25, 3*q = -4*f - f - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3475617530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 350698156 a multiple of 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*c = 58, 4*c - 4 = 3*c. Let l be (-564)\/16 + (-2)\/(-8). Let u = l + i. Solve 3 = -2*z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 117530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -11, 5, 5405, 1 in decreasing order.\nAnswer: 5405, 5, 1, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 852 divided by -12\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9584*p + 76. Let f(o) = 9582*o - 89. Calculate -6*f(s) - 7*j(s).\nAnswer: 9596*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2379 + 2386. Solve -3*u + 10 = -0*t - t, 3*u = -2*t + m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdvzzbdddvkzxzk. What is prob of sequence dvkb?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 8) to base 7.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/14 + (-4235)\/(-1078). Suppose 31*l - y*l - 1053 = 0. Calculate the highest common divisor of l and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 19*l**2 - 39*l**2 + 21*l**2. Let m(y) = 7*y**2 - y. Let o = -5 - 1. Let g(w) = o*k(w) + m(w). Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 10. Let f be t(13). What is the first derivative of 8*v**3 - 11 + 0*v**f - 2*v**3 + 0*v**3 wrt v?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 793, 346, -101?\n\"Answer: -447*u + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057780 is divided by 3245.\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2017588.9 to the nearest one thousand.\nAnswer: 2018000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485*k*m**3 - 4*k*m**2 + 2*k*m - 53*k - m**2 - 3*m - 3 wrt m?\nAnswer: -2910*k*m - 8*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*d**4 - 19*d**3 - 3*d**2 - 95*d**4 + 24*d**3 + 2*d in the form y + t*d**2 + x*d + w*d**4 + r*d**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -2.6. Let j = -457\/5 - -92. Which is the third biggest value? (a) u (b) 1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 5*k**2 - 15*k - 6. Let s be y(-7). Solve -q + 0*q - n = -1, 3*q + 4*n - s = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 4*j - 7. Let b be p(6). Suppose 0 = -8*i - 85 + b. Let f(h) = -138*h**2 - 12*h - 20. Let y be f(i). Round y to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 1 + 41 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 27*s**2 + 5*s**2.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - -25378) + (55 + 15)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147945.9ug to kilograms.\nAnswer: 0.0001479459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16*h. Let t(f) = -3*f**2 - f**2 + 4*f**2 - 2*f**2. Give t(l(o)).\nAnswer: -512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j = -37*j - 26*j + 3852. Solve 72 = -27*u + j*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -j, -8 + 0 = 4*j - 5*m. Suppose 1725 = -3*q + j*u, 3*q = 2*u - 1856 + 127. Let r = -328 - q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r**2 + 27*r - 13. Let a(l) = -2*l. Calculate w(a(v)).\nAnswer: -44*v**2 - 54*v - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*j - 60 - 177 = -7*j, -5*m = 4*j - 387 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 + 94*j**4 + 186)*(-3 - 6*j + 1 + 3*j).\nAnswer: -282*j**5 - 188*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + n - 1. Let g(a) = 4*a**2 - a + 1. Let p(x) = -7*g(x) - 6*y(x). Suppose -4*t = 4*v - 8, -t + 5*v - 23 = -7. Let k = t + 2. What is p(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431284 divided by -5908?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 413*b + 11. Let x(g) = -415*g - 8. Calculate -2*q(o) - 3*x(o).\nAnswer: 419*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189628 is divided by 141?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 170743\nAnswer: 4\/170743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q**2 - 3*q - 18. Let b(h) = 19*h**2 + 2*h + 19. Let k(a) = 3*b(a) + 2*m(a). Differentiate k(w) wrt w.\nAnswer: 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:05 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*k - 49 = -5*g - 237*k, 0 = 2*g - 4*k - 34 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -10) + 0 - (-643 + 568).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7540, 15101, 22666, 30235, 37808, 45385?\nAnswer: 52966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 2, d: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 25083440 and 25083441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1216) - (sqrt(1216) + -4 + -1*sqrt(1216))) + sqrt(1216))*4)**2.\nAnswer: 2048*sqrt(19) + 78080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7702363 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 2*u + 6. Let f(i) = -80*i**2 + 55*i - 165. Let c(x) = -6*f(x) - 165*t(x). Let z(l) = -48*l**2. Determine z(c(h)).\nAnswer: -10800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9ca552 (base 16) to base 10\nAnswer: -10265938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukzuuuz. What is prob of sequence uuzu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 667919755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + k**4 - 1 - 1326*k**2 + 1329*k**2 - k**3 as l*k**2 + s*k**3 + a*k**4 + h*k + b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 52*b + 4954. Let k be o(-101). Solve 22*v = k*v + 51 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*5*3*4\/(-24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2, -0.18, 1\/4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 6:17 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -g + 5*k + 25, 5*k + 25 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -101. Let b = o + -4.9999962. What is b rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 8*v - 6. Let c be n(-7). Let z be (c + 4\/(-3))*-9. Suppose -3*x - r + 0*r + 35 = 0, 0 = z*r - 15. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*a**3 - 359*a**2 + 359*a**2 + (-2*a**2 + 0 + 0)*(13*a + 10 - 10).\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -333e (base 15) to base 2\nAnswer: -10101001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 2*h - 194. Is 31 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8237 not equal to 772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1)\/((-2)\/(-4)). Let u(d) = 1 - 17*d + d**3 - d**2 - 14*d**2 + 8 + 6. Let b be u(16). Sort b, -5, w in descending order.\nAnswer: b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*x - 1 - 3*x)*((-12 - 4 + 8)*(2*x - 7*x + x) + 1 + 2*x - 1).\nAnswer: -34*x**2 + 102*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006*l - 488*l - 506*l - 180 = 0 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/9 (b) 0.5 (c) -1 (d) 76141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/4345 and -3\/72680.\nAnswer: 799480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -1 (c) 4 (d) -262655 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 511\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3958971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*p**2 + 555*p**2 + 680*p**2.\nAnswer: 1814*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18817 - 10574. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9985*s - 12 = 2*f - 9981*s, -2*f - 59*s = 287 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = 0. Solve -7*a + 2*a = 2*t + 12, 3*t - a + 1 = n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 30. Which is the third smallest value? (a) 4 (b) -1 (c) q (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65851 is divided by 65824.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s. Let x(f) = 1487*f**2 - f. Give x(d(a)).\nAnswer: 72863*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43\/2 (b) 4\/9 (c) 0.0565\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*o - 26 = 19, 4*o = 20. Solve -2*s = -3*c + 3, -v*c + 5*s - 3 = -0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, c: 6, l: 2}. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 6*z - 6*z. Let a(v) be the second derivative of 11\/12*v**4 + 0 - 21*v + 0*v**2 + 0*v**3. Give a(c(q)).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 932283 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saas when four letters picked without replacement from asassassassa?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 + (-259)\/21. Let u be (4 - 0)*21\/4. Let m = u + o. What is the smallest common multiple of m and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5786117+-2\nAnswer: -5786119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 6147*i - 2250587. Calculate d(391).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265708071\/7 or -37958295?\nAnswer: -265708071\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 28*h**2 + 2*h + 59. Let z be r(-28). Suppose -z*k = -4*o - 23, 0 = -3*k - k - 3*o + 14. Solve 3*b + 3*d - 2*d = k, 5*d - 25 = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3974?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 107. What is the least common multiple of 7 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19827972, -39655946, -59483920, -79311894, -99139868?\nAnswer: -118967842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 7*t + 11. Suppose 4*z - 6*z - 19 = -k, -z + 4*k - 20 = 0. Let i be y(z). Suppose -8*o = -i*o + 15. Which is smaller: -6 or o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/21952 and -79\/14?\nAnswer: 21952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339077 is divided by 1823?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189027 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7432736 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10728*c - 321727. Determine x(-30).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3067 - -31623. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16955484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-1)\/26 + 1 + -2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -9*v - 34. Let n(f) = -374*f - 53. Is n(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 2. Let w be d(1). Let z(i) be the second derivative of i**3\/2 + i**2 - 41*i. What is the remainder when 14 is divided by z(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epfgpee. Give prob of sequence gfee.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -110220112222 (base 3) in base 2?\nAnswer: -111110000010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 10 + (8 - -2) + 6 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8411.966*-0.4\nAnswer: -3364.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 34. Let w = 8 - 4. Let r be ((-14)\/4 - w)*6\/(-3). Let v be x(r). Solve t - 5*t = -v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2 + 1777710*z + 5333103 = 0.\nAnswer: -592567, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 214043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 1, l: 8, d: 1, g: 1, v: 2}. What is prob of picking 1 l and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27361354?\nAnswer: 2, 13680677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.58 - -0.08. Let m = -7.49806 - p. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63862 divided by -863.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12061 + -1435298\/119. Let l = 12947\/4284 + b. Find the common denominator of -1\/15 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52555700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:41 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2448 = -6*n, 426 - 386 = -5*x. Solve 80 = -36*v + n for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 33. Suppose 2*a = -2*w + 294, 2 - 5 = c*a. Calculate the greatest common factor of 37 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*((-60)\/(-18))\/(-5). Let r be (g\/(-63))\/(6\/18). Let v = -8.03 + 8. Which is the nearest to r? (a) 0 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2733 divided by 99\nAnswer: 911\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 5761174?\nAnswer: 328386918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6 = -3*h, -4*h + 3*d + 7 = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-3)\/(-7 - (-69916)\/9989)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4078862?\nAnswer: 2, 193, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53359551 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 22*v - 23 = 0. Which is the second biggest value? (a) 3 (b) -17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1444, -7 in ascending order.\nAnswer: -7, -3, 0, 1444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/16 + 19*j**5\/20 - 51*j**4\/16 + 9*j**3\/2 - 4*j**2 + 69. Factor i(o).\nAnswer: -3*(o - 6)*(o - 1)*(5*o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.96 + -3. Let r = 0.04 - 0. Let v = h + r. Sort -0.2, -0.1, v in decreasing order.\nAnswer: v, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*h + 80 = 0, 2096*h - 2100*h = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196902?\nAnswer: 2, 3, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**2 + 2*w + 1. Determine b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**2 - 2*t - 1. Let s be z(-2). Let b = -32 - s. Let 10*d + 0*d**2 + 2*d**2 - 2*d**3 + b - 19 = 0. Calculate d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/107754 and -47\/4?\nAnswer: 215508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from ddggsgggda.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 137392592 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*k - 19, 9 = 27*x - 28*x - 3*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, 0.022, -9?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 608 + 1721. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1973.6 - 686457\nAnswer: -684483.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 575*j + 717*j + 2 + 186*j**2 - 30*j**2 - 2 wrt j?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*l**3*y**4 + 396*l**3*y + 615*l**2*y**4 - 115*l - y**2 wrt y.\nAnswer: -3480*l**3*y + 14760*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -58637\/142 greater than or equal to -414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 20, 0.6, -0.5, -46.7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*n - 7, -4 = r + n - 3. Sort 1, 4, r in ascending order.\nAnswer: 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*v + 8 = 295*v, 2*v = -q + 1311. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 3*c**4 - 3*c**3 + (-3*c - 2*c + 3*c)*(-4*c**2 + 4*c**2 + c**3).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016915 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*n + 12 = 40, -3*y + 5*n + 29 = 0. Let t(k) = -k + 10. Let u be t(y). Let p(s) = 23*s**2 + 4*s - 3. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3) + -1 + 2. Suppose 4*o - q + 1 = -2*q, 0 = o + 3*q + 3. Solve o = g + i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 3*u + 4. Suppose -10 = -3*b + 5. Suppose -b*n - 10 = -35. Suppose 0*o - n = o. Give i(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmwwmwmmmm. What is prob of sequence www?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) 8 (b) 1\/4 (c) -16 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Suppose 12 = 3*a + t - 4*t, -5*t = 3*a + 4. Let i be u(a). Suppose i = -4*q + 12. Solve q*g + 2*g + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(10\/3))**(-30)\/((c\/c**16*c)\/(c*c*c*c*c**(-14)*c)) assuming c is positive.\nAnswer: c**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3969) + 2*sqrt(3969))\/(sqrt(56)\/(sqrt(8) - sqrt(32))))**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -23*g**2 + 29*g + 37. Let x(f) = f**2 + 7*f + 6. Calculate -n(z) + 6*x(z).\nAnswer: 29*z**2 + 13*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 8*l**2 + 10*l + 14. Determine o(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3 + 19 + (1 + 2 - 1)*(2 - 4 + 3))*(-c**4 - 3*c**4 + 3*c**2 - 4*c**2).\nAnswer: -140*c**4 - 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 611 + -28715\/47. Which is the second smallest value? (a) h (b) -0.5 (c) -0.1 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**3 + 7*q**3 + 9*q**2 - 2 - 1. Let r be i(9). Sort 0, -4, r in ascending order.\nAnswer: -4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169153 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 6*w. Let x(t) = -47*t**2 - 43*t**2 - 54*t**2 + 145*t**2. Give f(x(v)).\nAnswer: 3*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -196*m + 241*m + 360 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 4. Let p(s) be the third derivative of -s**4\/4 + 23*s**3\/6 + 3*s**2 + 4*s. Give 6*p(h) + 34*q(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Suppose -2*s = -2*z - 222, 4*s - 467 = -u*z + 5. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/5))**(-30)*q\/(q**(-3)*q*q)*q**(-3) assuming q is positive.\nAnswer: q**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2 - 1049*w + 265980 = 0.\nAnswer: 429, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 19*d + 556 - 2114 = -18*d for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -k + 1, k + 11 = -o + 3*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghqfx. Give prob of sequence gxh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 26 (c) 5 (d) 97440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l**5 + 1276*l**4 + 28728*l**3 + 234608*l**2 + 355256*l - 2347884 = 0. Calculate l.\nAnswer: -49, -11, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1126, 3034, 4912, 6760, 8578, 10366, 12124?\n\"Answer: -15*t**2 + 1953*t - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let v(y) = 2*y**2 + 2394*y + 32. Let c(o) = -o**2 - 795*o - 12. Let i(j) = 8*c(j) + 3*v(j). Calculate i(q(b)).\nAnswer: -2*b**4 + 822*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1214589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let t(v) be the third derivative of -v**4\/24 - 95*v**3\/3 + 1574*v**2. What is p(t(s))?\nAnswer: s**2 + 380*s + 36100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 29.62303mm?\nAnswer: 0.00002962303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 214 (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243\/220 + 53\/44. Which is the second smallest value? (a) -0.59 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/3)))**(2\/9)\/(m**(-1\/3))**(8\/9) assuming m is positive.\nAnswer: m**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38901, 38892, 38883, 38874, 38865?\n\"Answer: -9*n + 38910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 242246088 and 3.\nAnswer: 242246091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 7. Suppose -2*u + 15 = -5*u. Let w(z) = -2 + 1 - z + 4. Let n be (-10)\/(-25) - 8\/(-5). Calculate n*i(b) + u*w(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3763 is divided by 410?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 471 and 1065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -5*g**2\/2 - 29*g + 2631. Suppose -2*k = 5 + 15. What is the tens digit of p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 2)\/2 + 10. Suppose q - 2*z - o = 0, 0 = 5*q + 5*z + 5. What is the second derivative of -2*u + 0*u + 3*u**3 - q*u**3 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651952273 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4 + 8. Let c be (-18)\/i - -3 - -238. Suppose 0 = -8*l + 3*l + c. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.49 and -88.\nAnswer: 43.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927659 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1678, 1680, 1682, 1684, 1686?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/6 + 34*q**2\/3 - 70*q\/3 = 0 for q.\nAnswer: -70, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(15\/4))**(-5\/12))**(28\/5) assuming q is positive.\nAnswer: q**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 291, 666, 1193, 1872, 2703?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((22*b + 35*b + 23*b)*(-3*b**2 + 0*b**2 - 2*b**2) + 0*b - 2*b**3 + 0*b)*(-2 + 0 + 1).\nAnswer: 402*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1498834517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/7, 0.018, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18.0935 and -1.\nAnswer: -19.0935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d = 31*d + 1677. Calculate the remainder when 390 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.48284718 + -0.08.\nAnswer: -1.56284718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express m - m - 2 + 1 - 2*m - 48*m**2 + 4*m as v*m + i + d*m**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 4006440*v - 12019311.\nAnswer: -(v - 4006437)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 1. Suppose -3 = 2*g - 1. Let o be z(g). Solve -4*y + o*y = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -693, -1239, -1919, -2727, -3657, -4703, -5859?\nAnswer: -7119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1\/7, -3, -334, -0.19?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46727 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7595 by -31.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 6 = -3*x, 0 = 8*a - 10*a + x - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 522462760 a multiple of 635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 4. Suppose 7 - 3 = c. Does 14 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.749 days in seconds?\nAnswer: 23824713.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1851 - -1856. Suppose 4*y = 5*y + 3. Which is the nearest to y? (a) -2 (b) s (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 191. Let w be o(29). Solve -65 = -w*q + 88*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -413*q**5 + 18*q + 3.\nAnswer: -8260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 - 143 = 0. Suppose 2*n = x - 14. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + x + 1 - 4*x - 3*x**3 + 2*x**3 + 5*x. Let v(r) = r**2. What is -k(y) + 5*v(y)?\nAnswer: y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(38)*-3)\/(sqrt(2) + sqrt(150)\/sqrt(3) + sqrt(50)))**2.\nAnswer: 684\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)\/sqrt(6) - (1 + sqrt(32)).\nAnswer: -2*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -2\/21*u**7 + 0*u**6 + 0 - 23\/12*u**4 + 0*u + 40*u**2 + 0*u**3 + 0*u**5. What is the second derivative of g(f) wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 18 + 7. Let q(u) = -u**3 - 6*u**2 - 4*u + 2. Determine q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -1318?\nAnswer: 144.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mricim. Give prob of sequence mri.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2985021.\nAnswer: -2\/995007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let h = 741 - 389. Let m(p) = -352 + p + h. Calculate m(j(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -225 + 180 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.4162 millilitres to litres.\nAnswer: 0.1684162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*o - 1548*d*s - 15*o**2*s - 302*o**2 wrt s?\nAnswer: -1548*d - 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 49*g - 534. Calculate r(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 4287, 10177, 18631, 29697, 43423, 59857, 79047?\nAnswer: 101041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 42*v = 5*k + 50 + 200, 383*k - 6*v + 187 = -2*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 2, f: 1, k: 5, j: 6, r: 1}. Give prob of sequence sruf.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/33 in -2, 5, 181\/4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/457 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 180 = -290. Suppose 0 = -4*n + 2*f - 6*f + 244, 4*n - j = -f. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665\/152*((-32)\/10)\/4*-10\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 28956 (c) -0.5 (d) 6 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-222)\/4*4\/(-3). Suppose 0 = -2*s - s - 4*p + l, -2*p - 44 = -3*s. What is the remainder when 34 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3636 and 231290.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1318 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552500 is divided by 828.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710986 + 2*s + 710986.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4345*b**3 - 36*b - 15*b + 51*b.\nAnswer: -4345*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 9*i**2 - 10*i - 1. Let k(s) = -s**2 - 44*s - 160. Let x be k(-4). Let o be (3 - 9) + (x - 6) - -5. Give v(o).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -267047, -266978, -266857, -266678, -266435, -266122, -265733, -265262?\n\"Answer: k**3 + 20*k**2 + 2*k - 267070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1441 - -1442. Sort 14, a, -3 in decreasing order.\nAnswer: 14, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 0.1 (c) -0.5 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 3*s. Let o be q(-2). Let u be (-57)\/(-15) + 2\/10. Let z(g) = u*g + 1 + 5*g**2 + 4 + 0*g**o + g**3. Calculate z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7 = -3*k. Suppose -3*a = h - 63, -2*a = -k*a - h + 103. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/4 + x - 1. Let t(w) = -2 - 3*w**3 + 9*w**3 - 10 + 3*w**3. What is -12*k(h) - t(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16093559215 less than 19?\nAnswer: -16093559196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 64152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m. Let y(c) be the first derivative of -c**4\/6 + 4*c - 7. Let v(f) be the first derivative of y(f). Give b(v(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*o + 5, -3*o - o - x = 4. Let i = -8 - -9. Let v = i + o. Which is the closest to v? (a) 0 (b) 1\/7 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 1:50 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/5)\/((48\/(-36))\/((-200)\/(-30))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(54) - sqrt(7))*-2.\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176554647697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 - 5*p + 10. Suppose 0 = 2*g - 3*k - k, 1 = 2*g - 3*k. Let x be g\/6 - 140\/(-21). Calculate the remainder when b(x) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let s = 1 + f. Find l, given that 2*l**2 - 2 + s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5842 is divided by 1906.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 - 7*o**4\/12 - o**3 + o**2\/2 - 50*o. Determine w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s - 23*s - 166507*s**3 + 39730*s**3.\nAnswer: -126777*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 11:18 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 1016*d**2 + 1107*d**2 + 5*d.\nAnswer: 91*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -199219 times -3\nAnswer: 597657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2 + -9)\/(-2). Let n = -2 + 4. Solve -n*z + 3*z + b = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6546209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.37 - -0.07. Let u = -0.1 - -0.1. Sort u, o, -3\/8.\nAnswer: -3\/8, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/126101 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9\/17 (b) -12 (c) 48 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 16 = 0. Suppose 5*z - 60 = 2*z + 4*u, 4*u - 80 = -t*z. Solve 3*j = z - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34455.1 seconds?\nAnswer: 34455100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 5. Calculate the remainder when 16 is divided by p(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343412 + 4?\nAnswer: -343403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84042 and 485982.\nAnswer: 11177586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 382?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(3\/(-4)). Let w be (-2)\/(-8)*(f - 1). Factor 0*q - 1\/4 + w*q**2.\nAnswer: (q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 6*v - 6. Let w(m) be the second derivative of 7\/6*m**3 + 0 + 90*m - 1\/12*m**4 - 7\/2*m**2. Give 7*o(i) - 6*w(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b + 50. What is c(-9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16594354 - -1?\nAnswer: -16594353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 4 + 3)*(1 - 1 - 2) - 5 + 5 + 2)*(4 + 1 + 3*q - q) + (4*q - 3*q + q)*(-1 + 1 - 2) in the form x*q + g and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3129075 and 51075?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144413226.\nAnswer: 2, 3, 2674319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23742\/7, 3\/4, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28947222?\nAnswer: 2, 3, 19, 53, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-2)*3 - -2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11991 or 46934?\nAnswer: 46934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -180*v + 183*v - 4608. What is the least common multiple of v and 18?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -515 + 632. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**3 + 87*v**2 - 5*v**3 + 20*v**3 wrt v.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-51)\/18))\/(((-102)\/(-71))\/17)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5) + 1 + (1 + sqrt(5))*-3)*-2.\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 48625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -203a6 - -22?\nAnswer: -20384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + -22. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s = t - 261, -3*t + 786 = 2*s. Let m = 372 - t. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 5*c**5\/4 - 5*c**4\/12 + 5*c**3\/6 + 5*c**2\/2 + 806*c. Let f(t) = -13*t**3 + 2*t**2 - 2*t - 2. What is -5*f(b) - 2*u(b)?\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 94*h**2. Let m(y) = -13*y. Calculate m(w(d)).\nAnswer: -1222*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6776472 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5 + sqrt(32) - sqrt(32) - (-3*sqrt(6))\/sqrt(3)) + sqrt(1152)*-1*-4)**2.\nAnswer: -19627 + 990*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5 + 47*l**4 + 2226*l**3 - 63918*l**2 - 1962225*l - 1896129 = 0.\nAnswer: -27, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13)**23 assuming z is positive.\nAnswer: z**299","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525068735 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 225 = 5*j, 105043*j - 105045*j = 3*y - 90 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*d = -202, -67 = 2*a + 5*d + 37. Let j be -2 - 10 - 16 - (12 - -1). Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -5*p**4\/24 + p**3\/3 - 6*p**2. Determine d(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -656 + -77?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 36\/6349 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 89.5902ms?\nAnswer: 0.00149317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Let c(q) = -4*q. Let v(f) = -f + 13. Let l be v(9). Let h(j) = -39*j. Let s(t) = l*h(t) - 44*c(t). Determine s(d(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 - 11190\/29. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1915*v + 978*v - 2927*v as t + i*v and give i.\nAnswer: -3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 - 5036*f**4 - 2145948*f**3 - 322716548*f**2 - 5635599760*f.\nAnswer: -4*f*(f + 20)*(f + 413)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08157115 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 13*s - 1238 = 0. Is 2 - (-2)\/1 - s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -187*y**3 + 18*y**2 + 9*y + 281. Let m(n) = 94*n**3 - 8*n**2 - 4*n - 141. Let v(f) = -4*b(f) - 9*m(f). What is the first derivative of v(u) wrt u?\nAnswer: -294*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114.6 - -391.4. Let s = -554.3 + a. Let q = 48 + s. Are q and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 27 = 18. Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/3, -1\/7, -1\/4, -14, -2 in decreasing order.\nAnswer: -1\/7, -1\/4, -2, -14, -44\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -129 * -0.1\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 1 + 1 - 5. Suppose -3*w - 2*w + 15 = 0. Let v be o(w). Solve -v*t + 6*t = 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 756 + -319. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -84*q - 2. Let m(f) = 21*f + 1. Let z(g) = 4*d(g) + 18*m(g). Find the first derivative of z(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, m: 12}. What is prob of sequence ml?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -201*j*n**3 + 193*j*n - 2*j - 2*n**5 wrt n.\nAnswer: -1206*j*n - 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -38059148*i. Let j(a) = 2*a**2. Give d(j(k)).\nAnswer: -76118296*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 5*k + 5. What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(30\/200). Are -10 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Let z(c) = c**2 - 3*c - 82. Let d be z(-10). Suppose -4*h + d = n, n - 3 = 5*h - 0*h. Calculate the greatest common factor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7539087 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(128))**2.\nAnswer: 96*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3723 + 3723.00001158. What is q rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901198370.\nAnswer: 2, 5, 7, 79, 149, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 8*j - 9. Let q be f(-6). Let b be q\/((-3)\/30*-6). Let v = 11 - b. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/13 - 20896*a**3\/13 - 54580350*a**2\/13 + 20896*a\/13 + 54580352\/13 = 0.\nAnswer: -5224, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 511330 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32812*b**2 - 1861*b**2 + 35666 - 35666.\nAnswer: 30951*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 432*o - 6935. Give b(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 7*z**2 + 9*z + 8. Let t = -16 - -8. Let i be a(t). Suppose w + i = 31. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j - 10 + 4 + 15*j. Let q be k(5). Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27938331.098 to the nearest 100000.\nAnswer: 27900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -547 - -819. Let t = -336 - -338. What are the prime factors of (p\/(-12)*-3)\/t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1\/3 (b) -1512 (c) 327 (d) 0.3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36212 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2123 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 252*k**2 - k. Let b(i) = -i**2 + 4*i + 2. Let q be b(4). Let a be m(q). Let n = 1815 - a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Let x = z + 3. Which is the third smallest value? (a) -2 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1)\/g*g)\/g)**(3\/5)*(g\/(g*g**(2\/3)))**46 assuming g is positive.\nAnswer: g**(-451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435261.\nAnswer: 3, 29, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 7528. Suppose m - 632 = -3*f, -3*m + s = -4*f - f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021072267095 to 7 dps.\nAnswer: -0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.744*81.7.\nAnswer: -387.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1095 by 4.\nAnswer: 1095\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.94 + -187670.\nAnswer: -187665.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/120 + j**5\/15 - 5*j**4\/24 - j**3\/2 - 3*j**2. Let d be c(-5). Is -4 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 4 + 3)*(5 - 2 - 1) - 6 + 1 + 0)*(-5*m**3 + 21*m**2 - 21*m**2 + 1)*(2 + 2 - 3) to the form v*m**3 + q*m**2 + x*m + o and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + -621?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + -4*2*sqrt(175))*-1)**2.\nAnswer: -8000*sqrt(7) + 280400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20*6\/(-900) - (-51)\/(-45). What is the fourth biggest value in -0.2, 3, 8, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose 75 = -0*b + d*b. Let q = b - -3. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**3 - 3*x**2 + 5*x - 9. Let w(g) = -20*g**3 - 6*g**2 + 11*g - 17. Calculate 7*c(f) - 3*w(f).\nAnswer: -3*f**3 - 3*f**2 + 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(5\/((-45)\/6)). Suppose 5*g - 600 = 4*z - 9*z, w*g - 340 = 2*z. Suppose -g = -5*b + 74. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -6*w. Is -1 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 14488?\nAnswer: -57952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 2706*z**2 - 730083*z - 51065316.\nAnswer: -3*(z + 108)*(z + 397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1323000?\nAnswer: 1323005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -25. Is 18 a factor of (4\/u)\/((-4)\/360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*x)*(183 - 125*x**2 - 183)*(2*x + 0*x - 4*x).\nAnswer: -1000*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + u - 4 = 0, -1 = 2*t - 5*u - 8 + 4 - 13 + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-6)\/36*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9132371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2091\/(-9758)*((-1)\/6)\/(14\/16).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 23*a - 51 + 79*a + 556*a. Let l be c(5). Let s = -25961\/8 + l. Calculate the common denominator of s and -89\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, w: 1, i: 1, t: 2, j: 3}. What is prob of sequence ij?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1319745 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -260*u + 258*u - 9, 2*u - 6 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 15, 2*v - 280 = t - v. Let h = t + 564. Suppose -5*x - 2*m + 326 = -h, 5*m - 372 = -3*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88086784 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*b**2 + 13*b**2 - 66*b**2 + (b - 83*b - b)*(3*b + 0*b - 4*b - 2).\nAnswer: -b**2 + 166*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 9\/(-5 - -2). Suppose 4*g - 115 = -3*h, 0 = -5*g - 4*h + 133 + 12. Solve b*q = g + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -343*d - 20 + 172*d + 182*d. What are the prime factors of h(11)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -227, 5, -7, 1, -5 in descending order.\nAnswer: 5, 4, 1, -5, -6, -7, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + h - 11 = 0, -v - 208*h + 41 = -205*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141\/5 + 28. What is the smallest value in d, 3, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 703*r**3*z**2 + 101*r**3*z - 2*r**3 wrt z.\nAnswer: 1406*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by -6\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -311701.92 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 1.3. Let v = 261488004 - 261488015.6999939. Let b = i - v. What is b rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13671 divided by -147?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-585)*((-37)\/(-4) - 15\/(-20))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8854 - -40724. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(539) + (3*sqrt(539) - sqrt(539)) - sqrt(539)))**2.\nAnswer: -840*sqrt(11) + 77641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**5 + 2*u**5 + 4*u + u wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:49 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - -8 - (-10)\/2. Suppose 0 = -2*r + 2 + a. Suppose 61 = u - d, -3*u + 7*u - 237 = -r*d. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73730 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s - 3*y - 1, 4*y = -12. Let a be (0 - -2)\/(2\/(-5)). Sort s, 1, a in decreasing order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98078 divided by 551\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.4 (b) -3 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 - -329. Let c = 156 - w. Let a be 0 - 0\/2 - 0. Solve -c*j + 1 - 7 = a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 - 4*k - 5. Let u be a(6). Suppose -3*c + 13 = -r, -3*r + 0*c + c = u. Let h be r\/2 + 51\/6. Solve -3 = -x - h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4)*(-w**2 - 5*w**3 + w**2) to the form b*w + i + x*w**3 + d*w**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2871?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 21*d + 241. Let o be x(8). Let k = 2 + -2.1. Which is the closest to k? (a) o (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-5532)\/48. Which is bigger: i or -116?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -90*a + 869. What is l(8)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*y = 8*y - 33, 2*i - 22 = 3*y. Is 11 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5097 is divided by 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**1*t*t*t*t))**(-2\/5)*t\/(t\/t**(1\/5))*t\/(t*(t\/(((t\/((t**(1\/4)*t)\/t)*t)\/t)\/t))\/t)*t*t assuming t is positive.\nAnswer: t**(71\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*74\/((-7844)\/(-477))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4814.8492 + 4815. Round f to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -4*v, 5*v = -4*m - 2 - 4. What is the units digit of (3 - (2 + m)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Suppose -2*f = -0*o - 3*o + 12, 4*o = t*f + 23. Suppose -3*a + o*a = -3. Solve -2*c = -a*n - 2*n + 7, 2*n + 2 = -4*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-3 - -2) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - l**2 + 2*l**2 + 0*l**2 + l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41167, 82326, 123479, 164626, 205767?\nAnswer: 246902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35a61d (base 14) to base 2\nAnswer: 110111111110011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 4 - 5 + (-2 + 4 - 3)*(-4 + 2 + 0))*(-17*k**2 + 1042*k - 1042*k)*(1 - 1 + k) in the form z*k**2 + j*k**3 + h + m*k and give j.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = l - 20, 0 = -2*j + 2 + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1059336 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5357 times 201.94\nAnswer: -1081792.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 15538951*q**3 - 15*q.\nAnswer: 15538951*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12815, 30076, 47337, 64598, 81859, 99120?\nAnswer: 116381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1980.186 decades?\nAnswer: 19801.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 260982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from sevsv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**3 - 2*c + c - 176*c**3 - 7 + 12 + 5 wrt c?\nAnswer: -1104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2256 and 24?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 5*r**2 + 4*r + 1. Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (311\/8 + -40)\/(6\/(-8)) + 122\/(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, -1, -27, -63?\n\"Answer: -5*a**2 - a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -0.2. Let u(k) = 7*k**2 - 12*k - 11. Let d(x) = -4*x**2 + 6*x + 5. Let s(z) = 5*d(z) + 3*u(z). Let p be s(7). Which is bigger: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8578, -34324, -77236, -137314, -214558, -308968?\nAnswer: -420544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1222?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 107243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-5)\/(-1)*-1. Suppose -p*c + 21*c = -20. Solve 4*g + 1 = c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-4)\/11 - 24\/132. Let v be 1\/4 - (-15)\/4. Solve 2*a = 4*q + u, -v*q = -3*a + 8*a - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(6\/(-2))*(-1)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 9*m + m)*(-m + 3*m + m) + m**2 + 3*m**2 - 2*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (11 - -1) + (4 - 9 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 11*g - 5. Let z be (4 + -6)*4\/2. Let h = -14 - z. Let i be m(h). Solve 6*n = n + 5*f + i, -5*f + 35 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*z*z\/(z\/z**(3\/2))*z*(z\/z**(1\/4))\/z**(1\/10) assuming z is positive.\nAnswer: z**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001247 to 5 decimal places.\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -30\/29 (c) 0.789 (d) -5 (e) 26 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.03005l in millilitres?\nAnswer: 8030.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 365310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37843976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1442 - -1457. Solve -b = -3*p, -19 = -u + 2*u - 4*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:10 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l - 265. Let s be h(-31). Let n = -725 - s. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*k = -3*n + 10, 0 = n - k - 5. Find t such that -4*t + 10*t**2 + t**n - 6*t**3 + t**4 - 2*t**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2217\/8 or -277?\nAnswer: -2217\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqmmqqmqq. What is prob of picking 2 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/20 - 5*q**4\/12 + q**3 - 3*q**2 + 3*q. What are the prime factors of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25bc9b (base 16) in base 15?\nAnswer: -33cb95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.04 + 0.04. Let p = 0.2 + 0.8. Let i = -1 - p. Which is the closest to m? (a) 0.4 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l + 55. Determine z(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -80, -59, -20, 43, 136, 265, 436?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/(-3120) - 531\/13.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*o - 4. Which is the closest to 0.2? (a) 0.4 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:46 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let r(i) = i**3 + 2*i**2 - 2*i + 7. Let c(t) = -2*a(t) - r(t). Let n be c(-5). Let p(h) = 2*h + 11. List the prime factors of p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1039 (b) -2\/3 (c) 1\/3 (d) 0 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2341 is divided by 357.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216372.\nAnswer: 2, 3, 13, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/4)\/(24*(-7)\/(-56)). Which is greater: z or 8\/19?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -655603 by 6.\nAnswer: -655603\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = -513*a + 25907 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:15 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {n: 2, m: 1, s: 6, d: 2}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 162 (b) 0.4 (c) 396 (d) 3 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + n**3 + 741*n + 16 - 768*n + 9*n**2. Let p be s(-14). Suppose -4*t = -3*t + 3, 2*t = -4*w + 6. Solve 2*v + 0*v = w*o - 9, 6 = v + p*o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 36876 in increasing order.\nAnswer: -5, 3, 36876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 - 110*k + 116. Is c(47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352068 - 351740.942. Let f = -327 + j. Which is the nearest to -1? (a) -0.5 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 104*c**3 - 4*c**2 + 103*c**3 + 4*c)*(-34 + 34 - 6*c).\nAnswer: 6*c**4 + 6*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-15)*3\/36*-10. Let b(r) be the first derivative of o*r**3 + 0*r - 3 + 1\/3*r**2. Determine a so that b(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 9*y - 24. What is the units digit of o(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d - 15. Let y be 3 + 1 - (7 + -2 + d). Solve y + 0 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 3*g - 3. Let z be l(-1). Let n(f) = -7*f - 3. Let i(m) = -3*m - 1. Determine z*n(u) - 10*i(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + 13. Let a = -62 - x. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*u - 1495 + 1096. Let s(m) = -m + 6. Let k(j) = 2*j - 19. Give u*s(o) - 2*k(o).\nAnswer: 3*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 16*q - 22. Let n be y(-14). Let j(i) = 2*i - 7. Let b(x) = -2*x + 8. What is n*b(f) + 7*j(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 = 1. Suppose o*w = 1601 - 105. What are the prime factors of w?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64026698 <= 64026695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -111*a + 5306. What is g(49)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232\/5*p - 44\/5*p**3 + 0 - 1824\/5*p**2 + 12\/5*p**4 = 0 for p.\nAnswer: -11, 0, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 239, 2\/3, 3, -0.2, -0.3, 106 in decreasing order.\nAnswer: 239, 106, 3, 2\/3, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35502 + -661535?\nAnswer: -1030340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273714675 by 3275.\nAnswer: -83577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29820 divided by 84?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6973 = -254*u + 494 - 1395 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -979268, -1958566, -2937864, -3917162, -4896460?\n\"Answer: -979298*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6 = -3*k - 8, -3*t = -5*k + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 7 = 10*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 4:03 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/61 in -0.4, -1\/7, 42920?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 1036557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 99. Let r(q) = 991. Let p(k) = 10*a(k) - r(k). Let o(c) = c + 18. What is -o(n) + 5*p(n)?\nAnswer: -n - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 - -0.25. Let p = 299.651 + -0.651. Let w = p - 331. Which is the fourth biggest value? (a) 2\/11 (b) h (c) -3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05237? (a) -3\/4 (b) 8 (c) -1 (d) -1\/2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -47*x**3 + x**2 + 6*x - 15. Give y(2).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-100))\/(-8*18\/120)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 791590*w**2 + 3211618*w wrt w?\nAnswer: 1583180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q)**(1\/6) assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(242)*-3 - sqrt(242) - (-1 + sqrt(242))*2)**2*-6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-50) + (-26)\/90)\/(22\/(-858)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 22*w**2 + 32*w - 7. Suppose -82 = -9*v + 134. Is i(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w + 26*w - 98*w**2 + 118*w**2.\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhqhcc. What is prob of sequence qh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.739899486 take away 3.9678?\nAnswer: -3.227900514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*(-20)\/((-960)\/28)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:58 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-11 - 21) - 39.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6834, 6836, 6838, 6840, 6842?\n\"Answer: 2*x + 6832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152150890?\nAnswer: 2, 5, 15215089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5307453*z**2 + 179930940*z wrt z.\nAnswer: 10614906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -10 in ascending order.\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 77*u**2 - 976*u + 3. Let p be s(16). Solve -p*x = -1650 + 1647 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + 6\/4. Suppose 5*g = x*q - 28, -4*q + g - 3*g + 20 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Suppose 17 = 4*h - 5*t - 1, 0 = 2*t + 4. Let q(b) = -h - 23*b**2 + 12*b**2 + 12*b**2 - 5*b. Let v(n) = 2*o(n) + q(n). What is v(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:13 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-1595833)\/1196877 - -1) + (-309)\/(-927)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/19644 and 50\/4911?\nAnswer: 19644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 355 (b) -1 (c) -0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3047033.8 and -0.3?\nAnswer: -914110.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 156 - 24. Suppose -3*p - 3*y - 36 = 0, 0 = 5*p - y + 3*y + t. Let x = 14 + p. Solve x = 4*g + 3*r - 17, -r + 6*r - 25 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/10)\/((-18)\/60). Let o be 5 - (-1 + l\/2). Solve -12 = -i - 3*b, o*i + 1 = -b - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 10. Give z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53540*d - 106403*d + 52880*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -7. Let q(g) = -g**2 + 9*g + 12. Let z be q(l). Solve 0*n = -z*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 3, -1, -21133.\nAnswer: -21133, -1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*i - 5 = 0, -11*f + 10*f = -5*i + 5. Put f, -32, -7 in increasing order.\nAnswer: -32, -7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 + 62*u**2 - 40*u - 1. Let m be c(20). Let b(s) = 4*s + 2. Let d be b(-3). Is (92\/d)\/((-3)\/(m - -16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q. Let n(p) = 15*p**2 + 5*p + 43. Let m be n(-4). Suppose -m*x + 259*x = -4. Determine f(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 395 and 0.12.\nAnswer: 395.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brbbbbbbbbrbbbbbbr. Give prob of sequence brrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - j + 1. Let u = -58 + 56. Let t(a) = 6*a**2 - 17*a - 13. Let w(z) = z**2 - 4*z - 3. Let q(y) = 2*t(y) - 9*w(y). Give u*r(b) - q(b).\nAnswer: -b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:27 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose 4*w + 12 = 5*p, b*w - 5*p = -2*p - 6. Find the third derivative of -4*v**3 + w*v**2 + 3*v**2 + 5*v**3 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 10, x: 3, z: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3959, -3923, -3857, -3755, -3611, -3419, -3173?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 27*f**2. Let c(w) = 7*w**2. Give c(g(z)).\nAnswer: 5103*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 132325756673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3369*a - 65612 + 136105 = -128278 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 42 = -5*f + 4*h, 4*f = 3*h + 61. Let m be -4*(-2)\/f*0. Solve m = -3*n + 5*w + 20, -3*w + 3 = -2*n + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 436345 and -4154.\nAnswer: 432191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3026, 13717, 32064, 58061, 91702, 132981, 181892?\n\"Answer: -n**3 + 3834*n**2 - 804*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 24. Calculate the least common multiple of s(-14) and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -435.2 + 484. Let p = i - 48.2154. Let u = 0.58 - p. Round u to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/27, -178\/19, 3\/7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/12 - 3*z**3\/2 - 7*z**2\/2 + z - 658. Give h(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 12*o**2 + 16*o + 15. Let s be k(11). Factor 7*v**5 + 137*v**3 - 132*v**3 + 240*v**3 + 6*v**5 - s*v**4 - 8*v**5.\nAnswer: 5*v**3*(v - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41704.\nAnswer: 2, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 742624\nAnswer: -1485248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 6*u + 924. Is -3 + 819\/u*(-232)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*f - 165*f = 2*q + 14, f + 49 = 11*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3251.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-11)*q**10)**(-35))**41 assuming q is positive.\nAnswer: q**1435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 - 7*s - 9. Let z be u(-6). Let p(m) = -m**3 - 2*m**2 + 3. What is the remainder when 21 is divided by p(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1545*i + 4 + 5*i**4 + 2*i**3 - 7*i**4 + 1537*i - 58 in the form b*i**4 + u*i**3 + z*i**2 + j*i + o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01439063 to 4 dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/6155?\nAnswer: -2\/6155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 149884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + b + 28. What is o(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021877 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*b - 3 - 20 = 0, 0 = -5*p - b + 15. Solve -3*k - 23 = -l + 2*k, 5*l + 30 = -p*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44789000 to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 23*o + 53. Let z be f(-25). Suppose 3*n - 4*q = 0, -3*q - 21 = 4*n - n. Is n greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + 2*a)*(a - 3 + a - 3*a).\nAnswer: -3*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**7\/x))\/x*x*x\/(x*x\/(x\/(x**(-2\/13)\/x)))*(x**(3\/7)\/x)\/x*x**3*(x**3\/(x\/(x*x*x**(-3\/7))))\/(((x\/x**(-2))\/x)\/x*x)**(9\/7) assuming x is positive.\nAnswer: x**(-129\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-545)\/(-39) - (294 + -280)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from jnnnynnnnnnnn?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 5:47 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 1005*v + 12933. What is n(-13)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65468*i**2 + 32756*i**2 + 32710*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94770611 < 663394274\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.4689*0.2.\nAnswer: -1.69378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -8, -5, 1, 635 in decreasing order.\nAnswer: 635, 3, 1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*q = -12, 10*c = 3*q + 70 - 23. Solve -2*o + 2*b - 4*b = 0, c*o - 21 = 2*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 2}. What is prob of sequence ztz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/7)*b**(-1\/4)\/b*b*b**(-3\/7)*b*b**14*b)**(-18) assuming b is positive.\nAnswer: b**(-4149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36524 - -3564?\nAnswer: 43421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*h = 128*h + 1045. Let v = h - -213. Solve 3*s + w + 1 = 3, s = -5*w - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*m = 48, -2*z = -5*z - 2*m + 34. Suppose -2*x - 40 = -z*x. Are 5 and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(9000\/(-176)))\/(1\/(-5))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 214.\nAnswer: 17334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17910 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.69 - 0.11. Let b = -41.2 + i. Let m = 44.99999953 + b. What is m rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163129199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 10*c - 14. Suppose -121*x + 140 = -117*x. Suppose -b + 14 = -2*p, x = -6*p + p - b. What is h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + 18. Suppose j = d*j - 65. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.9 + -24. Let b = g - 2. Put -2, 2, b in ascending order.\nAnswer: -2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.8 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244204*r**2 + 235989*r**2 - 480199*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a**4 + 22*a**2 - 22*a**2)*(a + 0*a - 2*a).\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**4)\/z)\/(z**(1\/14)\/z))\/(z**32\/z*z**(-20)*z) assuming z is positive.\nAnswer: z**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23991193871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 2, c: 1, h: 7, l: 6, o: 1}. What is prob of picking 1 w, 1 o, 1 e, and 1 c?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1134401024?\nAnswer: 1134401030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*f + 8, 4*c + f - 7 = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2 - 0)*(-52 + 26). Let d(b) = 5*b**3 - 14*b**2 - 6*b. Let j(r) = 11*r**3 - 29*r**2 - 13*r. Determine s*d(i) - 6*j(i).\nAnswer: -i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7667 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -25.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*o - 0 - 6, -o = a + 2. Suppose -5*l - 3 = -5*t - 3*l, 0 = -3*t + 3*l. Suppose 0 = 4*j - 9 + t. Solve o = -s - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -88877.\nAnswer: 533262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*s + 21, -1 = -2*s + z + 2*z. Suppose 0 = 3*b, 0*k + s*b = -k + 3. Is k\/(-3) - (-2 - 16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 355*k - 7725. What is u(-23)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 11) + (3 - -7) + -21.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 - 7*(-18)\/(-21). What is the units digit of (x - -7)\/(4 + (-1070)\/265)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -2. Let z(r) = 11*r - 1. Let b be z(n). Let p be (20\/8)\/((-2)\/b). Calculate the highest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 20*f**2 - 13*f - 26. What is the tens digit of y(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 17964 = -7*t. Let k = -44811\/10 - t. Calculate the common denominator of k and -1\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 32*x - 102 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.34 + 0.16. Let n = v - 0.5. Let q = 140.96 + -141. What is the third biggest value in n, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22987.2 - -0.36\nAnswer: -22986.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 388 and 18?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9439)\/(-6) - 2\/12?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 3*m**2 + 3*m + 2. Suppose 4*b + x - 16 = 0, -3*b + 8 = -b + 5*x. Let r be d(b). Does 11 divide (-11 - 0)\/(1\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133084996?\nAnswer: 2, 11, 131, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = g + 1, 2*g = -5*r - 15. Suppose 5*l + 8 = 13. Put 0, r, l in decreasing order.\nAnswer: l, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 4*i - 9, -15 = -2*v - 5*i. Let c(s) = s**3 - s**2 - s + 2. Let f be c(v). What are the prime factors of 8\/(-10)*(-5)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702220?\nAnswer: 2, 5, 35111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 4:54 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 12. Let o(b) = -b**2 + 15*b + 12. Does 10 divide o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-3*a + 8*a + 3*a)*(15 + 0 + 11).\nAnswer: 208*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -56*r**2. Let b(t) = -8596*t. What is b(a(j))?\nAnswer: 481376*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 a when three letters picked without replacement from hhaajw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = 2*b, 0*s - 14 = 4*s - 2*b. Let k = s + 6. Suppose k*p - 5*p = 5*x - 25, -4*x - p + 26 = 0. What is the greatest common factor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -110. Suppose -o*f + 3*f + 5*u + 35 = 0, -2*f + u + 14 = 0. Calculate the remainder when 42 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4187, 8129, 11831, 15293, 18515?\n\"Answer: -120*h**2 + 4302*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (5 - 10) - (7 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5074858*v**2 + 448827730*v?\nAnswer: 10149716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 15 = 31*q. Suppose -3*k - q*a + 240 = a, 4*k = 3*a + 345. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 7*n + 3. Let s be g(-6). Suppose 2 = -k + 2*k. What are the prime factors of (3 - s)\/1 + k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356\/9*g**2 + 0 + 0*g + 2\/9*g**3 = 0. What is g?\nAnswer: 0, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 9. Determine z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19350 divided by 3?\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s + 125 + 173 + 59 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18179451*d**5 + 1614254*d**2 + d wrt d?\nAnswer: 1090767060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -12*s + 360. Suppose -8 = -68*a + s*a. Let b(f) = f**3 - f**2 + 1. Let z(o) = -3*o**3 + 2*o**2 - 3. Give a*z(j) - 5*b(j).\nAnswer: j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*q + h, -q + 4*h = 4*q + 3. Let a = -12 - -14. Sort q, a, 0 in decreasing order.\nAnswer: a, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 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 -16767 >= -16527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -12. Let t = -3.69 - -3.39. Sort t, -2\/11, -2\/5, o in decreasing order.\nAnswer: o, -2\/11, t, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 819 + -819.000998. Round z to five decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19834 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/(d*(d*d\/(d**1*d))\/d))\/(d**11*d*d**(-5)\/d) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h + 47*h - 3*h.\nAnswer: 78*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, o: 1, a: 4, x: 5}. What is prob of picking 1 a and 1 x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9200 and -137\/276.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c**2 + 15\/4*c**5 + 35\/12*c**4 - 13 + 5\/6*c**3 + 37*c + 3\/2*c**6. Let l(z) be the first derivative of w(z). Factor l(j).\nAnswer: 5*j*(j + 1)*(3*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 - -242. Suppose -2*y = 44 - w. Let p = 0.2 - 2.2. Is p at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:44 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2 - ((-11)\/(-2) + -5). Suppose x - 5 = 0, -2*k - k = -4*x + 11. Let a be (k + z - 0) + 2 - 5. What is the closest to -3\/5 in a, 2\/13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1632, 1395, 1156, 915, 672?\n\"Answer: -j**2 - 234*j + 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27285*i - 13808*i + 1 - 13581*i.\nAnswer: -104*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**4 - 2*s**3 + 9*s**4 - s**2 - 2*s + 0*s**2 + 0*s**3 + 0*s**3 - 10 as x*s**2 + l*s**3 + g*s + w + m*s**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 4, 23 in increasing order.\nAnswer: -61, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 1. Let j(d) be the first derivative of -3*d**3\/2 - d**2 - 3*d - 4. Let h(t) be the first derivative of j(t). Calculate -4*h(n) + 7*q(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {u: 3, e: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10578841.\nAnswer: 7, 13, 101, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280560387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9948794 <= -9948796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8856 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(140) + sqrt(140) + (sqrt(140) - -2*sqrt(140)))\/sqrt(10) + sqrt(28)\/sqrt(2)*-3)\/(-5*1*sqrt(448)).\nAnswer: -3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 319*s**3 + 458*s**2 - 7*s + 14. Let j(g) = -317*g**3 - 457*g**2 + 6*g - 12. Let k(b) = 7*j(b) + 6*x(b). Find the third derivative of k(r) wrt r.\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g**2\/2 - 439*g\/4 - 5 = 0 for g.\nAnswer: -1\/22, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/7? (a) 2\/5 (b) -0.11 (c) -0.5 (d) -0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let z = -175 - -181. What is the third derivative of -3 + 3 + d*h**2 + h**2 - z*h**4 wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*s + d, 5*s + d = -3*d - 42. Let p(a) = -14*a - 50. Is p(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 8. Suppose -2 + 37 = 7*i. Let d be ((-12)\/(-1) - 14)\/(1\/i). Sort 0, d, 1, r in decreasing order.\nAnswer: 1, 0, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4 - 34*y**3 - 360*y**2 - 864*y + 3456 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = -5*i + 23, -4*i + 32 = 5*n. Suppose -i*w = 3*q - 390, 267 = 4*w - 2*q - 247. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 879*p**2 - 295*p**2 + 23*p + 4*p - 279*p**2 - 296*p**2.\nAnswer: 9*p**2 + 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122318?\nAnswer: 2, 7, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4475 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + h = 7*d - 130, -5*h + 25 = 0. What is the third derivative of -f**2 - f**2 - 22*f**5 + d*f**5 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.33 - 3.23. Let t = -63.1 + p. Which is the closest to 0? (a) 4\/9 (b) -0.4 (c) t (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1480*t**4 + 11276*t**3 - 108523221*t wrt t?\nAnswer: 17760*t**2 + 67656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -5*p - 1\/18*p**4 + 4 + 2\/9*p**3 - 1\/3*p**2. Find n such that l(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.818997 + 11.82. What is g rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 + 4 = 4*d, -2*l + 24 = 5*d. Put 2, 4, l, 1 in ascending order.\nAnswer: 1, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4326.2272 to the nearest integer.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-16)\/24)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12494 - 12835 + 9161 = 376*x for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 d when three letters picked without replacement from {d: 4, j: 1, o: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 142735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4692 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 4101?\nAnswer: 4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2073*t - 136835. What is m(-66)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 3*l**5\/10 - l**4\/8 - 5*l**3\/6 + 23*l**2 - 1. What is the second derivative of r(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17\/2)\/(11\/22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (10 + (5 - 9) - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 4195*z - 8393. What is w(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7220, 7221, 7222?\nAnswer: 7223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 3. Let w be (16\/56)\/(3*2\/(-84)). Put z, -0.3, w in decreasing order.\nAnswer: z, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 1179, 2630, 4641, 7200, 10295?\nAnswer: 13914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 264 = -t, t = 6*t. Let z be (-8)\/(-44) - (-16)\/h. Solve -2*v - 6 - 4 = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 l when four letters picked without replacement from {f: 1, t: 1, d: 1, l: 5, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-7 + -119)\/18). Solve -b = -4*m - 6, m - 5*b - 8 = -j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/8 - 6\/8. Suppose -25 = n*f - 9*f. Suppose 4*d + 5208 = 6*d + 2*q, f*d - 3*q = 12988. Round d to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2458427 = 132*p + 2463311 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.6. Let l = -2750 + 2722. Which is the second biggest value? (a) h (b) l (c) -1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 2\/11, 1\/20, -2\/19?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 119. Find the second derivative of 17*k**2 + 42 - 5*k - 19 + h*k wrt k.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 0 + (-4808 - 12)\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*s - 25*s - s**2 - 11716 + 11056 = 0. What is s?\nAnswer: -33, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31239 + 83937. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z**(-9\/2)\/z)\/z*z*z)\/z*(z*z**(7\/4))\/z)\/((z\/z**2)\/(z*z**(-1))))**(-24) assuming z is positive.\nAnswer: z**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2, 6, -5, 1 in descending order.\nAnswer: 21, 6, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.2352 + 8.167. What is b rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)**(-39))**(-39) assuming z is positive.\nAnswer: z**1521","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + -49 + 36 + (-69 - (4 - 21))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338323 at most as big as 1338262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (727 + 742 + 6825*r - 1467)*(-3*r - 2*r**2 + 3*r).\nAnswer: -13650*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43621147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**4 + 11*z**4 - 11*z**4 + (2*z + 4 - 4)*(-1 + 1 - z**3) + 4*z + 3*z**4 - 4*z.\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(9\/5)\/h)))\/h)**(-39)*h**(2\/51)\/h**(3\/22) assuming h is positive.\nAnswer: h**(43213\/5610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -1\/4 (b) -1.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + o = 30 - 25, 3 = 3*o. Let -2\/13*v**3 + 2\/13*v**4 + 4\/13 + 2\/13*v - 6\/13*v**l = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 32*h**3 - 2*h**2 + 32*h.\nAnswer: 2*h*(h - 16)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 641462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-20)\/15 + -1 + 0. List the prime factors of (o + 29)\/6 + (-518)\/(-2).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 + 30400\/190 - (-467)\/18.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let o = 0.03 - 8.03. Let s = o - -5. Which is the biggest value? (a) -0.02 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g + 547 + 156 = -161 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**7\/210 - b**6\/120 + b**5\/20 + b**4\/24 - b**3\/3 + 3*b**2\/2 - 4. Let z(l) be the second derivative of k(l). Factor z(m).\nAnswer: -(m - 1)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3 + 4 - 5 - 9*x - 3. List the prime factors of b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65134 = -609*u + 607*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d. Let g(h) = -h. Let p be (14\/8)\/((-1)\/(-4)). Let z(v) = p*g(v) - 5*n(v). Let y(w) = 2*w**2. Determine z(y(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3114, 3113, 3112, 3111?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 2862?\nAnswer: 314820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 935935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34923 + -18798. Calculate the greatest common factor of 500 and w.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/7 + 64*c\/7 - 120\/7 = 0.\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-144) - ((-2)\/24)\/(12\/(-256)). Let u = -1.13 - -0.03. Which is the closest to -1\/2? (a) u (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 109548\/(-40) - -3. Let l = 2737 - u. Calculate the common denominator of -73\/18 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38483759 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.091256 (b) -1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1575314.8 - 1.112.\nAnswer: -1575315.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.534834 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 48 - 8 = 0. Let l(y) = -232*y - 64. Let g(j) = -18*j - 5. Let p(a) = m*l(a) + 64*g(a). Determine p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.39 + -1249.61. Let y = -1274.11 - g. What is y rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 48. Let o be m(22). Let v be (7 + -5)*(-2)\/o. Let j = -1 + 2. Solve t + v = -2*b - j, -b = t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 17 = 2*x, -80597*q - 25 = -80601*q - 5*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2709 or 2707?\nAnswer: 2707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 9. Let m(x) = -7*x - 2. Let n be m(t). Is (-172)\/(-5) + n\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 2*w**2 + 49*w + 174. Calculate v(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(1516 + 47*u - 1516) - u + 5*u + 0*u to a + n*u and give n.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10+-1179238695738\nAnswer: -1179238695728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416755.6 years in decades?\nAnswer: 41675.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*i*p**3 - 125*a**2 - 6*a*i*p - 1815*i*p**3 + i*p**2 + 2*p**3 + p**2 wrt a.\nAnswer: 4*a*i*p**3 - 250*a - 6*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -13*k**4\/24 - 61*k**3\/3 + 9216*k**2. What is m(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:00 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -130402 (base 9) in base 3?\nAnswer: -11000110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4801448 centimeters?\nAnswer: 0.000004801448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -208*j - 2692. What is o(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1889 - 1892. What is the third smallest value in f, 15, 3\/34?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -444 + 465. Let s be (-9)\/(-3 - -6)*x\/(-9). Which is the second smallest value? (a) -2 (b) 14 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**0\/p)\/p)\/p)**(-22\/9)\/((p*(p\/(p\/(p*p**3)))\/p*p*p)\/p*p**(-2\/13)) assuming p is positive.\nAnswer: p**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144884?\nAnswer: 2, 7, 76603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)\/(u**(-1)*u)*((u*u*u**2*u)\/u)**1)**(-16) assuming u is positive.\nAnswer: u**(-992\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 7402\/2585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-72)*1372\/315 + (-12)\/(-40).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 96?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944487753?\nAnswer: 3, 11, 59, 227, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 2*i**2 + 6*i**2 - 11*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 3. Let m be q(-3). Let n = -0.0775 + -4.1225. Let l = n - -4.1. Sort m, 8, 0.2, l in decreasing order.\nAnswer: 8, 0.2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:40 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9727.598km?\nAnswer: 9727598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921616 is divided by 3315?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1895b (base 14) to base 12\nAnswer: 30005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 4*v - 5*v + 4070 - 4070 + 450*v + (1 + 0 + 0)*(2*v - 4*v + 0*v) + (-2 - 1 + 4)*(-4 + 4 + v) + (0*v + 2*v + 0*v)*(-6 + 4 + 0) - 2*v + 0*v + 0*v.\nAnswer: 447*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 0, -4*m - 2 = -2*f - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -350000*v**3 - 2 + 2*v - 1\/2*v**2. Let h be i(2). Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let f(n) = n**2 - 3*n - 1. Let y be f(b). Let s = -140\/3 - -47. Are y and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 177*o - 8370.\nAnswer: 3*(o - 90)*(o + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1364 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266881305*z**3 - 14873749*z**2 - z wrt z.\nAnswer: -1601287830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122302 + 1?\nAnswer: 122303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o, -2*o = -4*y - 14 + 36. Solve y*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182.9 - -183.1408. What is f rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u**5 + 57540*u**4 - 100059736*u**3 - 12347217252*u**2 + 18695822544*u - 6248603088 = 0 for u.\nAnswer: -117, 1\/2, 1, 3654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -825*y**3 + 3*y**2 + 30*y - 3*y**2 + 1012*y**3 wrt y.\nAnswer: 1122*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10*t**5 - 456314*t**4 - 1369002*t**3 - 1369022*t**2 - 456344*t = 0.\nAnswer: -1, 0, 228172\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*n + 32*n + 5*n**4 + (n**2 - 2 + 2)*(-n**2 - 1 + 1) + 93*n**4 + 81*n**4 - 36*n**4)*(2*n + n - 2*n).\nAnswer: 142*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/12 + h**3\/3 - 3*h**2 - 9. Let s(g) be the second derivative of m(g). Let b = -9 - -6. What is s(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/sqrt(176))\/sqrt(3).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 6\/11 (c) 0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-20 + 35)) + -52 + 17?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*h + 4*h, -2*j + 2*h = 0. Suppose -2*w = -4*n - 90, 2*w - n - 14 - 82 = j. What is the highest common factor of 637 and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30815.61 hours to seconds.\nAnswer: 110936196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -278, -2\/7, -5, 482, -0.2?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 71062967*b + 1868. Let y be d(-4). Round y to the nearest 1000000.\nAnswer: -284000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13595, 0, 5 in decreasing order.\nAnswer: 5, 0, -13595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 486979062 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 2. Let a(b) = 4 + 4*b - 2*b - 1. Let i be (-52)\/78*3*3. Determine i*a(z) + 10*c(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/10 - i**4\/4 - i**3\/3 - i**2 + 6*i. What is m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16457 is divided by 16448.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 11) to base 8\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54126570 is divided by 2830?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:06 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 93, 107, 75, -51, -319, -777, -1473?\n\"Answer: -8*m**3 + 25*m**2 - 5*m + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -902*67.\nAnswer: -60434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*j + 312*j + 47*j)*(3*j - 5*j + 0*j)*(-1 - 1 + 1).\nAnswer: 276*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/89, -7.93, -0.6, 0.12?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -a6b (base 15) to base 10\nAnswer: -2351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -978542, -3914137, -8806780, -15656459, -24463162, -35226877?\nAnswer: -47947592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*u + 86*u = -233 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 28*s - 25. Determine a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**5 - 6*x**4 - 5*x**3 + 2*x**2 + 3*x + 4. Let w(h) = 2*h**5 + 11*h**4 + 9*h**3 - 4*h**2 - 6*h - 7. Let f(d) = -10*q(d) - 6*w(d). Factor f(i).\nAnswer: -2*(i - 1)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(4617\/(-190))*9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdhhddhyhdhpydyhphhh. What is prob of sequence hy?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 37*l**2 + 5*l + 6. Let d(g) = 37*g**2 + 4*g + 5. Calculate -5*d(b) + 4*h(b).\nAnswer: -37*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(304)*-2 - sqrt(304) - (-5 + sqrt(152)\/sqrt(8)))**2*-1.\nAnswer: -130*sqrt(19) + 3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4304*u - 352933. Determine r(82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -980893, -3923581, -8828061, -15694333?\nAnswer: -24522397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((1 + (-1 + sqrt(1100))*6)**2 - (-4*(sqrt(1100) + sqrt(1100) + sqrt(1100)*-2 - sqrt(1100))*-3)**2).\nAnswer: -1187750 - 6000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + 2*c**5 + c**5 + (5*c**2 - 2*c**2 - 2*c**2)*(-11 + 11 + 9*c**3) - 4*c**5 + 5*c**5 + 0*c**5.\nAnswer: 13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 528*u + 1826*u + 1 - u**2 - 2357*u + 4*u**3. Suppose 4*n = n + 3. Let q(c) = c**3 - c**2 - c + 1. What is n*w(k) - q(k)?\nAnswer: 3*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 - 10110101?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-6 + (5 - -1)). Suppose 3*n + 4*z - 284 = s, 2*n - 5*z + 3*z - 180 = 0. Let c = -45 - -77. Calculate the remainder when n is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -46*j + 12. Suppose -5*d + 5*x + 65 = 0, -5*x + x - 16 = 0. Calculate the lowest common multiple of d and f(-5).\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -575 divided by 115\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by 146.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 - 2*b - 4. Suppose 0 = 3*u + u - 44. Let c = -8 + u. Does 4 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14931644, 29863285, 44794926?\nAnswer: 59726567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334208.\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176.5 + 32.5. Let p = -208.7 + i. Which is the smallest value? (a) 0.1 (b) -0.5 (c) p (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 617 and 6151490?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4326, -8538, -12646, -16650, -20550, -24346, -28038?\nAnswer: -31626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 h, and 1 l when four letters picked without replacement from {l: 1, h: 2, z: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 129788.17 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 not equal to 620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -10 - (-2014)\/513.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3459 - -3519. Solve v = -29*m + 17*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276619829?\nAnswer: 276619829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 9*f + 8*f - 10*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2385 (b) -14 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j - 3 = 0. Let w(r) = -3*r - 30. Let d be w(-7). Let i be -5 - (1 + d)\/2. Sort 5, i, j in decreasing order.\nAnswer: 5, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 7:09 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 5*r + 4. Suppose 0 = a - 42 + 46. Let z be k(a). Solve g + 4*i = 24, -2*g + 4*i - 12 = -z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.14, 137.\nAnswer: 0.14, 4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 43*v**2 + 150*v + 2698. Calculate z(-45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g + 70. Let s be d(10). Sort -3, s, -4, 5.\nAnswer: -4, -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20924800 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 550218, 550214, 550210, 550206?\n\"Answer: -4*j + 550222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r + 7, 3*r = 4*i + 20. Let v be 5 + (-28)\/5 + -2. Which is bigger: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/6*(-1248)\/(-80). Calculate the greatest common factor of y and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - -70 - 0) + (0 + -3 - 1) + 47?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1996 = -2*n - x, 0 = -2*n - x + 2004. What is the highest common factor of 60 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snsbbqcnccnc. Give prob of picking 1 n, 2 b, and 1 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + sqrt(114)*-6)\/sqrt(6) - sqrt(19)) + (sqrt(95)\/(-6*sqrt(5)) - sqrt(19)))**2.\nAnswer: 35131\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 3132901?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 40*r**2 - 83*r + 26. Determine j(22).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 956 - 951.921. Let g = 0.079 - x. Which is the smallest value? (a) 0.09 (b) g (c) -1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1008 + 1007.7. Which is the biggest value? (a) 4 (b) l (c) 13 (d) -4\/9 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/9 - 830*y\/9 - 556\/3 = 0.\nAnswer: -2, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.4828085 to three dps.\nAnswer: -35.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 13) in base 2?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3384 + 3550. Calculate the smallest common multiple of s and 40.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 - -225. Let g = 37 - z. List the prime factors of (-2898)\/g - 3\/(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 7) to base 11\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 287469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -53*u + 114. Let g be p(6). Let t = g + 183. Are -18 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2430029340 to the nearest one hundred thousand.\nAnswer: 2430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44316732 a multiple of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 84*v**6\/5 - 183*v**2\/2 - 38*v. Differentiate a(d) with respect to d.\nAnswer: 2016*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 11*n**2 + 28*n + 2. Calculate the remainder when s(5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i**2 - 240 - 94*i**2 + 239 + 4*i - 4*i to j*i**2 + a*i + z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587324?\nAnswer: 2, 3, 17, 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 25*w**2 + 26*w - 23. Let b be h(24). Suppose 7 = 4*x - b. Calculate the lowest common multiple of x and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**(6\/37)\/((i\/i**2)\/i)**(7\/6))\/((i**6*i*i**1)\/(i\/(i*i*i**(2\/7)*i*i*i))**(2\/35)) assuming i is positive.\nAnswer: i**(-64747\/10878)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 - -415. List the prime factors of (1 - (-1)\/(10\/u))*2.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6314 - 284218\/45. Calculate the common denominator of m and 28\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1609416554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -495 (base 14) to base 6\nAnswer: -4123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s - 29*s + 4*s**2 + 13*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -724*h + 17. Suppose -5*m - p - 6 = 0, 7*p + 4 = -2*m + 5*p. What is the tens digit of y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 2*q**2 + 2*q - 2. Let u(c) = 7*c**3 - 4*c**2 - 5*c + 5. Give -2*u(d) - 5*w(d).\nAnswer: 6*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + o - 5 = -h, 4*o = 2*h + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1051, -1051, -1045, -1033, -1015, -991, -961?\n\"Answer: 3*f**2 - 9*f - 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 4. Let h(t) = -t**3 + 4*t**2 - 4*t + 7. Let l be h(a). Suppose -l*d - 21 = -11*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 10:30 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**4)\/l*l*l*l**(-1\/2)\/l)\/(l**(-1\/4)\/(l*l**(-2)))*(l**0\/l**(-1))\/(l**0)**36 assuming l is positive.\nAnswer: l**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 492 = 20*x. Calculate the remainder when x is divided by 2\/(-9) - (-281)\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 59454 - 4854. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 5 (c) 68 (d) 0.3 (e) 4976 (f) 2\/3 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -101973?\nAnswer: 10197.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 + 148*l - 291. Give o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) + ((sqrt(84) - (sqrt(84) - (sqrt(84)*2 + sqrt(84)))) + sqrt(84) - sqrt(84)))*1*-6)\/(-2*sqrt(972)*-3 + sqrt(972) + -1*sqrt(972)*-2).\nAnswer: 40*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/2 - f**3 + f**2\/2 + 3*f - 208. Let k(a) = a**2 - 6*a - 2. Let x be k(6). Let g be d(x). Solve 3*i + 2 - g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(10\/9))**(-16\/9))**(-1\/18) assuming o is positive.\nAnswer: o**(80\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/(-4719)*11 - ((-334)\/22 - 0). Solve n*o - 38*o = 115 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -32. Calculate the highest common factor of 80 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49313.0571 rounded to the nearest 100?\nAnswer: 49300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 73 = 4*w, 2*k - 136 = -w - 104. What is the greatest common divisor of w and 627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1476636607110 - -0.1.\nAnswer: 1476636607110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 11*g + 21. Is j(-12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-35)*10\/4. Let w be 1 + g\/1 + -63. Let z = -35 - w. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/73848 and -43\/14712?\nAnswer: 45268824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17107*v - 51281. Calculate a(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u + 150 - 150 as k + s*u and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5309 is divided by 162?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1872 and -23\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and -18.\nAnswer: 7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) 5 (b) -1 (c) -2636 (d) -9 (e) -3 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3535065 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = m, -3*h + 4781*m - 42 = 4778*m for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8113?\nAnswer: 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1460252 + 1156388 = -4*j. Let p be -4*(-4739)\/(-14)*40. Let k = p - j. What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 1683*u**2 + 101 - 35.\nAnswer: 1683*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 46*f**3 - 7*f**2 + 7*f + 6. Let u be o(8). Suppose -u = -4*t + 7*t. Let g = t - -77123\/10. Find the common denominator of 67\/2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**8)\/n*n*n**(-6)\/n)**(-11\/4)*(n**(-2))**(-1\/27)*n**(-1\/9)\/((n\/n**(1\/7))\/n) assuming n is positive.\nAnswer: n**(-2039\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, -1, 35, 1 in ascending order.\nAnswer: -12, -1, 1, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s**4 + 25*s**2 - 49*s?\nAnswer: 72*s**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 15 = -3*v, 3*v + 22 = p. Suppose -p*u = -5*u + 4. Let m(b) = 4*b**2 + b + 2. What is the smallest common multiple of 8 and m(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*x - 20, 2*t + 5*x - 3 = 11. Let k be (2*-1)\/((-8)\/t). Suppose 0 = 8*b - k*b - 60. What is the greatest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 + 22 + -38.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(sqrt(13) + (sqrt(325) - (sqrt(325) + (1*sqrt(325))**2)) + sqrt(13)) - (0 + 5*(sqrt(13) - sqrt(208)) + sqrt(208)*2 + sqrt(13))**2.\nAnswer: -40*sqrt(13) + 6032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - h + 1485 = 6883, 0 = 3*t + 3*h - 3210. Calculate the greatest common factor of 1568 and t.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 382574693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/15)\/((-4)\/(-5)). Let m = -188\/9 - -62\/3. Which is the biggest value? (a) f (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 160 = -5*n. Let y = n - -34. Suppose -y = -c - 0*c. Solve -o - c*o + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*j = -3, 4*j + 2 + 0 = 3*q. Suppose 2*c = 2*a - 95 - 73, -q*c - 336 = -4*a. Suppose -y + 24 = r, -2*r - a = -5*y + 2*r. Solve 5*i - y = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 702 - 437. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2262*t - 2223*t + 4471*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -668 - -684. What is the fourth biggest value in -3, d, 5, -2\/3, -2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*o = -61 + 79, 0 = 5*u + o + 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -40. Suppose 3*w = v - 15. Solve -3*o + 7 = -w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -177, -511, -1103, -2025, -3349?\nAnswer: -5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -49*l**2 - 299*l - 13. Calculate b(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 7. Let i be r(-7). Let n(w) = -7*w - 5*w + i*w + 9. What is the remainder when n(7) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -187, -191, -197, -205?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32995 - 32159 = 38*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 - 9*y + 3. Let i(h) = 3*h + 21. Let p be i(-5). Give o(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422246196 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 185, 187, 191, 197, 205, 215, 227?\n\"Answer: m**2 - m + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 2899, 17 in increasing order.\nAnswer: 17, 111, 2899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qfffqqfffq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 158124 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -423 + 1270\/3. Let b(r) be the second derivative of -r - 1\/3*r**2 + 0 - 1\/6*r**4 - 1\/30*r**5 - u*r**3. Find p, given that b(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2111500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/20 + 5*o**4\/12 - 5*o**2\/2 + 4*o. What are the prime factors of j(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190852735.\nAnswer: 5, 23, 53, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2030\/(-1160))\/(357\/4)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 21*z - 14. Let w(m) = 2*m**2 + 43*m + 29. Let x(j) = 13*v(j) + 6*w(j). What is the remainder when x(-10) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:00 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 45*a - 10010. Give c(125).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000 (base 3) in base 13?\nAnswer: -11b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 + 20*l**4 - 58*l**2 + 3 wrt l?\nAnswer: -60*l**2 + 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 51 + 33. What is the units digit of 242 - (y - (4 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 63*o**3 + 2*o**2 - 2. Let p be a(1). Let i be -24*(-5)\/6*p\/(-70). Is 1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*m - 52, 4*o + 4*m - 22 = 5*o. Let f = -59 - -105. Let r = f + o. Calculate the greatest common divisor of 48 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -187*n - 2. Let y(v) = -2*v. Calculate y(p(f)).\nAnswer: 374*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 + (3 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 269273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 28*n + 54. Let w be x(-26). Suppose -2*l + 434 = j, 0 = -3*l - 0*j - w*j + 649. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/120*-30*18\/(-135).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 (base 10) in base 14?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 - 118. What is the smallest common multiple of h and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3945400 to the nearest 10000.\nAnswer: 3950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 - 2*h - 6. Let v(t) = t**2 + t + 1. What is -r(b) - 5*v(b)?\nAnswer: 2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 0.006\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**2\/c*c*(c*c*c\/(c*c\/(c*(c*c**(1\/2)*c)\/c))*c)\/c*c)\/(c*c\/c**12*c\/(c*(c\/(c\/(c\/((c**6\/c)\/c))*c))\/c)))**(-49))**(17\/6) assuming c is positive.\nAnswer: c**(-20825\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 3. Suppose 0*l = l + 5. Let m = l - s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 12*l + 1. Let s be (17 - 18) + 0 + -11. Let x be j(s). List the prime factors of (77*-5)\/(-5) + x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 + 29*k**2 + 7*k + 6. Let x(q) = 2*q**3 + 30*q**2 + 6*q + 6. What is 4*b(f) - 5*x(f)?\nAnswer: 2*f**3 - 34*f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -61. Let w(q) be the second derivative of 1\/2*q**2 + 1\/3*q**i + 0 + q. Calculate w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 56538*b**3 + 799023277*b**2 + 3196771596*b + 3196997764.\nAnswer: (b - 28271)**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -25\/2*w**2 + 10 + 5\/2*w**4 - 85*w - 85\/4*w**5 + 425\/4*w**3 = 0.\nAnswer: -2, -1, 2\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 5. Let z = -12.34 - -15.34. Let l be 16\/(-10)*(-75)\/30. Sort z, l, -3, o in ascending order.\nAnswer: o, -3, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4228*p - 9. Let b(h) = 41650030*h + 88662. Calculate -3*b(z) - 29554*x(z).\nAnswer: 4222*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20))\/(10\/24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 11*g - 28. Let f be 172 - ((-2 - 4) + 3). What is the remainder when 1\/(g\/12) + f is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**(-2\/81)\/((q*q**6*q)\/(q*q**(-4\/11))))**10 assuming q is positive.\nAnswer: q**(-458830\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let f be w(6). Let o = f - -8. Solve -4*x + o*k = -12, -x + 4*k = -3 - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -207? (a) -0.528 (b) -0.1 (c) -2\/89 (d) 0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from bfjbujbbb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -4\/49, -8, -0.4?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 43*m + 6*m + 88*m.\nAnswer: 130*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17749 divided by 2?\nAnswer: 17749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -739 - -1163. What are the prime factors of a?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-56))\/(30\/(-70)))\/(4 + (-636)\/162)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4491 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -733*u**2 + 272*u - 462. What is the first derivative of o(h) wrt h?\nAnswer: -1466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 4 + 8 - j - j**2. Suppose 23 = n - 5*t, -2*t + 31 = 5*n - 6*t. List the prime factors of d(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/76057274?\nAnswer: -3\/76057274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:57 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35622600543.000768 - 35619721671. Let c = w - 2879002. Let y = c + 130. Round y to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhnjhnnjn. Give prob of sequence hhn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2*(o**(-6)*o*o)\/o)\/(o**(2\/7)\/o**(-1\/10)))\/(((o**0*o)\/o)**14)**29 assuming o is positive.\nAnswer: o**(-447\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1135*b*f**3 + 331*b*f + 21*f**3 + 16400*f**2 wrt f?\nAnswer: -6810*b + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -68. Let i = 16.2 + w. What is i rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291043260 to the nearest integer?\nAnswer: 17060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + 0*a - 3*a)*(-38*a - 35*a + 23*a) + (2 + 0 - 4)*(-28 + 54 - 25 - 17*a**2) to n*a**2 + m*a + g and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1162666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve p - z + 20 = -6*z, -2*z = -5*p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 131*y + 267. Let j be l(-2). Put -1, j, -6, -19, -0.5 in ascending order.\nAnswer: -19, -6, -1, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5235.974958067 + 0.901114933. Let c = b + -4997.87597. Let g = c - 239. Round g to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 20412752572840\nAnswer: -20412752572836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*m**3*v - 2816110*m**3 - 2651*m**2*v wrt v.\nAnswer: -65*m**3 - 2651*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1059*s + 40. Let q(n) = -n + 5. Determine o(b) - 8*q(b).\nAnswer: 1067*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.76009079988 + 10817546.76009199988. Let k = -10817532 + z. Let a = 6 - k. Round a to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 9*b + 450 = 0. What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -96*z**5\/5 - 2*z**4 + 4*z**3\/3 - 107*z - 2053. Find the third derivative of i(y) wrt y.\nAnswer: -2304*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 35*o**2 + 0)*(-16 + 16 - 5*o**2).\nAnswer: 175*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttlvettttkkkekvtvt. Give prob of sequence kkk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -5. Let c be 2\/8 - 5\/x. Suppose c*k - 11 = 4*y - k, -29 = y + 5*k. Which is bigger: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 792 - 187. Let j = -398 + f. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (11 - 5) - -2 - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from msgdmydg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 494 = 864. Let n = u - -202. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1224*n - 108. Let v be m(-4). Is -1 + (v - 8) + -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111 - 1001?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5103 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 8*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 1542 = -2*y. Which is bigger: -850 or y?\nAnswer: -850","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Suppose 6*n + 50 = n. Let p be (-8)\/16*(n - 0). Solve 0*w - 13 = -q*s + w, -p*w - 20 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 20, -4*n + 21 = -r. Let v = 3 - r. Let -4*y**2 - y + 0*y - v*y**3 + y**3 = 0. What is y?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.39692, 0.3, 2 in descending order.\nAnswer: 2, 1.39692, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 12:52 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -251, 199, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -0.8 (b) 3\/16 (c) 0.4 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 20*q = 220 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 - 25*j**2 + 7 + 62*j**2 - 1 + 2.\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, f: 3, e: 1, w: 1, r: 2, m: 1}. What is prob of picking 1 m and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -30888?\nAnswer: -30880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -27*l**2 - 3*l + 2. Let s be h(2). Let a be ((-24)\/14)\/(4\/s). Suppose -y = y - a. Solve -2*w = 4*q + 2*w + y, -2*w = -q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -8) + (1 - -1). Let q = k - -2. Solve 9 = 2*z - 0*h + 3*h, 6 = 3*z - q*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3623 is divided by 1204.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 18 - -10) + 1 + -4 - 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.6. Let r be (-31)\/1364*(-9 + 1). Put r, 2\/7, z in decreasing order.\nAnswer: 2\/7, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 37 + -100 - -19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*a + 935 = -805 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*u**4 - 4128*u**3\/5 + 121599*u**2\/5 + 6962*u\/5 = 0. What is u?\nAnswer: -2\/35, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-308)\/(-35) - (-1)\/5. Solve g = m + 1, -4*g - v*m - 15 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/12 - 51*w**2. Let s(k) = 46*k**2 + 2*k. What is s(u(i))?\nAnswer: 184*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 13*n**2 - 20*n - 24. Determine f(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 11:41 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - (sqrt(6) - (sqrt(54)\/sqrt(225) - sqrt(6)))).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -713, 1\/3, -1\/6 in descending order.\nAnswer: 1\/3, 0, -1\/6, -0.3, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3818)\/184)\/(3\/6))\/(40\/80)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-3) + 37\/(222\/10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*k**6 - k**4*x + 32*k**3*x + 1185*k**2*x - 2*x + 10 wrt k.\nAnswer: -2880*k**3 - 24*k*x + 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -15. Solve 2 = -4*a + p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 65, 137, 235, 359, 509?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -77. Solve -5*q + 5 = -5*c, -o - 12 = -5*c - q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 26. What is the second derivative of 30*f - 3*f**2 + 3*f**r + 10*f**4 - 33*f wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/97? (a) 0.06 (b) 0.1 (c) -1\/4 (d) -2\/9 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3 (c) 0.4 (d) 1\/5 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110212 (base 3) to base 4.\nAnswer: -1313111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3525*a**2 - 16*a + 4. Let o(g) = -21770401*g**2 + 98812*g - 24703. Calculate -4*o(t) - 24703*p(t).\nAnswer: 3529*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*z = -136*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*(0 + sqrt(1300)*-2))**2 + sqrt(143)\/(sqrt(66)\/(sqrt(54) + sqrt(6)) - sqrt(11)) + 5).\nAnswer: -46805 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -798*m**3*y - 23868169*m**3 + 1507*m*y**3 wrt y?\nAnswer: -798*m**3 + 4521*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*q**2 - 3 - 1 + 28*q**2 wrt q?\nAnswer: 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*i**2 + 73\/4*i - 25\/2 - 1\/4*i**3.\nAnswer: -(i - 2)*(i - 1)*(i + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + -116. Suppose 92 = -4*l + 4*d, -l + 4*d = -d + y. Let z be (6 - -1) + l\/(-9) - 2. Solve 3*t = z*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24618.30151 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7193\/17 - -423. Suppose 2*u = -14 + 6. Let k be 1 + -2 + u + 4. What is the third smallest value in 1, k, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.58 + 5.1. Let n = -0.588 - l. Let c = -0.108 - n. Which is smaller: c or 28\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 + 4*n - 6. Let j be (-336)\/72*6\/(-2). Suppose 9*c = -59 + j. Determine f(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 3:48 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -4*x**3\/3 - 7*x**2\/2 + x + 48. Let b = -14 - -19. Let l(c) = c**2 + c. Calculate b*l(v) + h(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 34*m - 4. Let a(b) = -101*b + 11. Calculate 3*a(g) + 8*l(g).\nAnswer: -31*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*a - 14. Let h(u) = 2*u**2 + 0*u**2 + 0*u**a. Let s(o) be the third derivative of -o**5\/30 + 23*o**2 + 2*o. Calculate s(h(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by (20 + -22)*9\/(-6) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79083.5 to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.3, -2\/7, 51\/14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-24)*(-4)\/(-3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -24. What is the remainder when 27 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 + 47949*i**2\/4 + 177275325*i\/4 - 116477038125\/4.\nAnswer: 3*(i - 567)*(i + 8275)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 458 - 435.3. Let t = j + 71.3. Let w = t + -93.9999941. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.4620841 rounded to 2 decimal places?\nAnswer: -97.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595 and 53635?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 3 + -1)*-4. Suppose -4*l - c*i = -68, 4*l - 3 = 3*i + 30. Suppose x - 18 = 5. Calculate the remainder when x is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 9 + (-9 + 8 - 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1835 + -1832. Let q = 65\/3 - 22. What is the second smallest value in s, q, -3\/7, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 707029 - -7658355. Let l = j + -8365384.20000068. Let d = l + 0.2. What is d rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3 - 9. Suppose -4*d + d = -z. Suppose -d*l = -2*r - 12, -4*l + 6 + 12 = -2*r. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-69)*(-3)\/2. Suppose 3*a = 9, -a - 1 = -2*h - 2. Let l be (-1)\/1*h*1. What is the biggest value in -2, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1371, -4, -54, 576 in ascending order.\nAnswer: -1371, -54, -4, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7893 is divided by 282.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (-1*sqrt(36))\/sqrt(6))\/(sqrt(72)*2 + sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 3*w)*(-50 + 21 + 8)*(-12*w + 12 - 12).\nAnswer: 504*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*y - 90 = 0, -i + y - 7 - 23 = 0. Let t = i - -55. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1119*v**3 + 137*v**2 + 5*v?\nAnswer: 6714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -13, 10, 1 in increasing order.\nAnswer: -13, -3, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Let o(z) = 14*z + 5. Let f(p) = 9*p + 3. Let w(m) = 8*f(m) - 5*o(m). Calculate 3*w(t) - 5*y(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -4318.\nAnswer: -215.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13423 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/1 - 6\/3. Suppose 5*m - w = 138. Calculate the remainder when 60 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6912 and -115\/2304?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (30\/25)\/(22\/81235)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*130\/65*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(2*l**4 - 4 + 4) - l**2 + l**2 - l**2 + 5*l**4.\nAnswer: 7*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from oonooonnnnnqon.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m**2 - 60*m**2 - 91*m**3 - 77*m**2 + 201*m**2 + 1600*m**3.\nAnswer: 1509*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m - 44. Let h(v) = 2*v. Let q(g) = -d(g) - 12*h(g). Is q(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 - q - 7. Let j be a(6). Suppose 0 = 5*c + 5*l - 60, -3*c = -8*c + 2*l + j. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 100 + 70)*(45 - 23*a - 45).\nAnswer: -6095*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98699.\nAnswer: 229, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -27. Suppose -r*w = -6*w. Suppose -x = -6*x + 10. Solve 3*m = -5*z + 3 - 4, w = -2*m - 2*z - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*o - 31, 24 = 6*d - 3*d - 4*o. Determine g, given that 0*g + 0*g**3 + 2\/13*g**d + 0 - 2\/13*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33*(430\/14 + 30\/105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 521*r**2 - 790*r - 1249. Calculate t(-262).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0 + 0)*(-33*c - 4*c - 10*c)*(-3 + 1 + 0) + 3 + 3*c**2 - 3.\nAnswer: 191*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3.8*1.5\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uogac. Give prob of sequence oc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3472)\/(-1085)*(-3)\/((-6)\/(-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - 854\/21. Let k be -3 - (0 + -1) - x. Let t(c) = -19*c**2 + k*c**2 + c - 21*c**2. Let o(d) = 7*d**2 - 6*d. What is o(p) + 6*t(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.418+-4830570\nAnswer: -4830568.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -1)**2*-1.\nAnswer: -176 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-297)\/(-1298)) + (-5)\/(-3). Solve -18*y = -95 + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1351127414 and -0.22.\nAnswer: -1351127414.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -154, -437, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3924375 is divided by 273.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 2*1*sqrt(2299)*5)**2.\nAnswer: 660*sqrt(19) + 689703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.825 (b) -1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7984*p + 20*p**2 - 7983*p - 5 + 2. Is r(3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 29 = 2*o, 3*o - 79 - 37 = -4*m. Suppose -2*w + 166 = 3*c, -w + c + 122 - m = 0. What are the prime factors of w?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-52) - 159\/(-12). Suppose 2*p = -5 + j. Suppose 0 = -y - n - 0*n + 55, -p*y - n = -217. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*g = -360, -5*u - 38*g = -39*g + 25 + 44 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v - 2*y + 2, -3*v - y - 3 = 0. Let q(w) = -4*w + 2. What are the prime factors of q(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 91.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b304 - -1?\nAnswer: -b303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 56. What is the units digit of ((-16)\/c)\/(2\/(-55))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - z = 2*z + 3, -2*k - 5*z = 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yozz when four letters picked without replacement from yzjowoypozzoyo?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/15 - 63*x**3\/2 + 2*x**2 + 22*x. What is the derivative of i(a) wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (-79 + 71).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 25*q**2 + 22*q + 50. Let b be c(24). Solve 3*f - t = 7, -2*f + b*t + 4 = -6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (10 - 3) - 137646\/(-68826). Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*q + 1020*q - 622*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-2 - -9) - (2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l - 154 + 0*l**2 - 1\/3*l**3. Give c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9407 is divided by 58?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 4. Let j be r(7). Let b(i) = 33*i**2 + 11*i + 16. What is the remainder when b(-2) is divided by 338\/13*(3\/(-2))\/j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -35*b**3\/3 + b**2 - b + 71. What is the second derivative of g(v) wrt v?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209336441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence img when three letters picked without replacement from {i: 1, g: 4, m: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 3228168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 27 = -x - 11, -2*x = 8. Suppose o*v + 366 = 1686. Let m = 701 - v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 107*m = -102*m + 20, -3*b + 12 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4*d - 37 + 2 + 5 + 9 + 10.\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 3163\/40. Let m = 13\/40 - n. Factor 1\/4*b**3 - 1\/4*b**2 + 1\/4 - m*b.\nAnswer: (b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 921*h - 922*h - 26, -2*z = -3*h + 7. Which is the nearest to h? (a) 4\/7 (b) -0.5 (c) -26 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 + 63*i + 51. Is y(-19) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001021435 to six decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062 = -78*r - 230 + 260 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-528)*11)\/(-3*1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -8.0758?\nAnswer: 8.0758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28153764 to the nearest integer?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -99\/10?\nAnswer: -99\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -311 + 117. Let h = t - -777\/4. Which is the closest to 0.05? (a) h (b) -0.5 (c) 5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*p + 62 + 20, -2*x + p = -35. Suppose -x*t = -14*t. Suppose 3*m - 349 = -3*s - 67, -4*m - 5*s + 372 = t. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 108, 247, 442?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264923?\nAnswer: 43, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q - 23 = 5*z, 3*z - 5*q = -7. Let c(g) = -g**3 - 4*g**2 - 3*g + 6. Let a be c(z). Does 15 divide 33 + 1\/(2*(-3)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3\/5 + 7748*x**2\/5 - 23272*x\/5 + 3104 = 0. What is x?\nAnswer: -1940, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let t(i) = i**3 - 15*i**2 + 53*i - 2. Let j be t(5). Let m(f) = 38 - 27 + 9*f - j. Calculate o(m(w)).\nAnswer: -18*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 72 - 18960*a + 139.\nAnswer: -18960*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 4 + 30*g - 4 - 31*g**2.\nAnswer: -31*g**2 + 47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 1\/32, -0.46, -4 in decreasing order.\nAnswer: 1\/32, -0.46, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 10*y**7\/63 + 68*y**6\/45 + 28*y**5\/15 - 82*y**4\/9 + 10*y**3\/3 + y + 73. Find s, given that p(s) = 0.\nAnswer: -5, -3, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**4 - 42830*p**3 - 51668?\nAnswer: -8*p**3 - 128490*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = w - 6*g, -4*g + 23 = w. Let d(v) be the first derivative of -v**4\/4 + 16*v**3\/3 - 3*v**2 + 4*v + 47. What are the prime factors of d(w)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (131 - -5))*(-6 - 636\/(-63) - 4).\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d + 19. Give g(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + -174.3. Let l = 2.9 - 3. Let x = l - 0.4. Which is the smallest value? (a) x (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12872*z - 25752*z + 12881*z + 1. Let x(k) = -13*k - 7. Calculate -6*v(j) - x(j).\nAnswer: 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 3*t**2 - 3*t**2 + 200*t**3.\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145396 + -145102. Let j be 64 + (-2)\/2 + 0. Calculate the greatest common factor of j and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3894 is divided by 485.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppa. Give prob of sequence ap.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(833)*-2 + -3))**2 + 4.\nAnswer: 1764*sqrt(17) + 30433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111760 and 5?\nAnswer: 111760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 8\/11 (c) -26 (d) 0.5 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 7. Suppose -2*g + 14 = -3*j, -4*j + 13 + 8 = 3*g. Let v be h(g). Solve l + 0*l - 1 = v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -111, -198, -291, -378, -447?\n\"Answer: 2*n**3 - 21*n**2 - 20*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 398*h\/7 + 788\/7.\nAnswer: 2*(h + 2)*(h + 197)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87.8 - -67. Let t = w + 3.8. Let g = t + 17.0095. What is g rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2308 and -752.1?\nAnswer: -1735846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 114. Determine x(7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -2, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*m = -7*h - 405, -2*h = m + 162. Let k = -21 - h. Suppose -3*u = 2*u - k. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.3, 0.4, -0.15?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60\/101 - -3633\/505. Find the common denominator of -47 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 110?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/6247 + -6259\/37482. Let u be (8\/22)\/(2 - 0). Let f(n) = -n**2 - 8*n - 6. Let s be f(-7). Which is the nearest to s? (a) u (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1472)\/80)\/23*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*z = -8*z + 11, -5*t + 4*z - 5 = 0. Let g = 12338\/9 + -1370. Factor -2\/9*f**t + 0 - 2\/3*f - g*f**2.\nAnswer: -2*f*(f + 1)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 75 + 722 - 75*i - 7*i**2 + 19*i.\nAnswer: -2*i**2 - 56*i + 797","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 174 = -2*c. Suppose -5*y = 25, 2*i + 3*y + 21 = 3*i. Calculate the least common multiple of c and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-5) + (35 - -4). Suppose 0 = -0*p + 4*p + 2*v - 66, -2*p - 3*v = -c. Calculate the smallest common multiple of 7 and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -5*w**3\/3 + 81*w**2\/2 + 2*w + 65. Is u(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f - 47*f**2 - 122 - 218\/3*f**3. Find the second derivative of s(d) wrt d.\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*0 + 2. Suppose -3*g - 38 = -5*g. Suppose 14*m - 20 = g*m. Sort l, m, 5 in descending order.\nAnswer: 5, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/22*564520\/(-19245)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13510 = -471*k + 21988 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from iririiixiiirxxxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3178473568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 16481 - 16507 = f, -c + f = -1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + 166?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 52452, -5, 1, 3 in increasing order.\nAnswer: -5, 1, 3, 11, 52452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 5, j: 6, m: 2, b: 2}. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.76 (b) -2\/5 (c) 17 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214277 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -102371*l - 9018. Let z(o) = 227*o + 20. What is 10*v(i) + 4509*z(i)?\nAnswer: -167*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7262799476.\nAnswer: 2, 19, 163, 586277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -23*a**2. Let r(f) = -6*f. What is r(j(z))?\nAnswer: 138*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56810 and 8645.\nAnswer: 397670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 12:16 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 4. Let r be p(5). Let o(b) = -b - 6. Let h = 2 - 9. Let c be o(h). Put c, r, 0 in increasing order.\nAnswer: r, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 24, 33, 44?\n\"Answer: b**2 + 4*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*b + 19425 - 4565 = -404 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13212?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/6 - -23)*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s + 16 = 30*s. Calculate the remainder when 23 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71036?\nAnswer: 2, 7, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkgnpgggg. What is prob of sequence nk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*m - 206 + 3*m**2 + 610 - 200 - 204 to the form d*m + p + b*m**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9)\/r)\/r*r*r)\/(r*r**(-3\/7)) assuming r is positive.\nAnswer: r**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-255)*595\/(-35))\/(32\/6)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (231 + 124 - 38 - 2*w)*(-w + 2*w**2 + w) to y*w + r + n*w**3 + u*w**2 and give u.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*s - 408 = 0, -2*p + 3*s + 149 = -641. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -96*d + d**3 + 190*d - 38*d**2 - 73 - 92*d. Calculate u(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.39 - -2\nAnswer: 4.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-20) + (-54)\/15. Suppose -34 = -5*x + 11. Let h = z + x. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939170662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2310.3 to the nearest 10.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010753 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - f = a + 137, -3*a - 2*f + 426 = 0. Let r(k) = 2*k**2 + 4*k**2 - 278*k - 5*k**2 + 213*k + a*k. Let h(n) = 2*n. Determine r(h(z)).\nAnswer: 4*z**2 + 150*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11 - 5) + -25 + 22\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 104 = 63*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 63*t**2 - 50*t - 13. Let l(z) = -64*z**2 + 51*z + 16. Let p(f) = 5*j(f) + 4*l(f). Find the second derivative of p(h) wrt h.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by 168.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5269, -9939, -14065, -17653, -20709, -23239, -25249, -26745?\n\"Answer: -k**3 + 278*k**2 - 5497*k - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (-12 - 54) + 30\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o + 3. Let s(p) = -2*p - 1. Let m be 10\/(-3)*(1 - (-16)\/20). Let w(c) = m*s(c) - 2*z(c). Let t(r) = -28*r**2. Calculate w(t(x)).\nAnswer: 112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*o**3 + 0*o**3 - 10*o**3)*(11 - 11 + o) in the form x*o**2 + i*o + p*o**3 + c*o**4 + n and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50293 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -501162 + 3614?\nAnswer: -464245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 13 - 32)*(f - 2*f**3 - f)*(-3 + 2 - 1)*(3 - 2 - 28) to u*f**3 + h*f**2 + m*f + d and give u.\nAnswer: 5724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -0.02373?\nAnswer: 0.0014238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2775278 is divided by 52363.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**4 - 4*x**3 + 2*x**2. Let q(c) = -2*c**4 + 4*c**3 - 2*c**2. Let p(m) = -4*q(m) - 5*z(m). Factor p(k).\nAnswer: -2*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556690 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*o = -3*o - 241, z + 5*o = 55. Let r = -26 + z. Let f = r + -18. Calculate the greatest common divisor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232631 divided by -1\nAnswer: 232631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 56. Let k be (2 + g + 0)\/(-1) - -1. Let x be (-8)\/(-32) - k\/4. Solve x = -o + 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 49*k - 56. Let f be i(-25). Let r be 2700\/f*6\/(-4). Suppose u + r = 1453. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/(-2) - -2)*(-850)\/(-595). Let j(v) = -v**3 + 16*v**2 - 18*v + 35. What is j(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2459, -3312, -4171, -5036, -5907, -6784?\nAnswer: -7667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 6*z**2 + 4*z + 7. Let s(w) = -w + 8. What is the remainder when k(5) is divided by s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryy. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29524441 to the power of 1\/2, to the nearest integer?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**4 - o**4 - 7 + 1 wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4656550 (base 12) to base 8.\nAnswer: -63544214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2\/15, 27 in increasing order.\nAnswer: 2\/15, 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*k - 13*k. Which is the nearest to 2\/7? (a) -0.1 (b) k (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*109.\nAnswer: 43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 2. Let o be n(4). Suppose 2*q = o*q + 3*d + 2131, 5*q - 2*d + 2681 = 0. Let v = q - -775. What is the greatest common divisor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2. Let s(i) = 1. Let f(u) = 4. Let y(j) = -f(j) + 5*s(j). Let o(z) = -22*z + 4 + 0 + 23*z. Let w(n) = o(n) - 4*y(n). What is g(w(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2672*r - 87 = 2643*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 17, 2, 45, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/3 - -1. Let n = -2 + 0. Which is the nearest to r? (a) -2\/3 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 5) to base 11.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j + 16. Determine p(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -739751 by -6.\nAnswer: 739751\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2 + sqrt(242))*-6 + sqrt(242) + 0 + 4))**2.\nAnswer: 31680*sqrt(2) + 220104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/4 - 14*b - 2. Let t = -13 + 13. Determine a(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, d: 2, l: 7}. What is prob of sequence lsd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.99 - -0.01. Let i = n - 12. Which is the third biggest value? (a) i (b) 4\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r**5 - 956883*r**4 - 2966112*r**3 - 2009259*r**2 = 0.\nAnswer: -31893, -21\/10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 9 = 3*d - 5*q, 4*d - 90*q + 12 = -92*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -1 + 28. What is the smallest common multiple of t and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*(j*j**(2\/7))\/j)\/(j**(-1\/3)\/(j*j*j**(-8\/3)\/j)) assuming j is positive.\nAnswer: j**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, 2\/7, 353075?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 47, 93?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124717 divided by -1?\nAnswer: 124717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-5) - (-8)\/20. Suppose 5*s = -2*x + 9, -a*x + 2*s + 42 = -0*s. Calculate the remainder when 354\/10 - (-2)\/(-5) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 43231.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935\/279 + 2 + 28\/434?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 = -35, 4*s - 23 = -o. Suppose 0 = o*f - 9. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139336629*p**4 + 27*p + 3255852.\nAnswer: 1672039548*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1931)\/(-2)*7 - (-12)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-12 - -15) + 5 + -57.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 21. Suppose -27 = -3*v + 4*g, 0 = 2*g + 6. What is the remainder when r is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 7824?\nAnswer: 23472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 5 = 0. Suppose 0*s + m*s + 2*n = -3049998, -2440003 = 4*s - 3*n. What is s rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18192\/(-42) + (-18)\/(-126). Is w bigger than -433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r = -73*r - 5. Solve 8 - r = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - u**3 + 132*u - 67*u - 2*u**2 - 66*u - 1 + 2*u**4 to o + y*u**4 + m*u**3 + x*u**2 + s*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 921 + -855.1. Let y = h - 67. Let u = 0.7 - y. Which is the smallest value? (a) u (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 78 = -192 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 2*d - 2 - 330*d**2 - 241*d**2.\nAnswer: -571*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*z - 727 = -z, 1098 = 3*f - 3*z. Suppose f*a - 363*a = -8. Solve -13*x = -12*x - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*y = 33, 1500*c - 23 = 1525*c - 4*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 15 - 3*w + 6 - 33.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0495229128 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 1, r: 2, c: 1, a: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1\/2, 1, 39, 0.1 in decreasing order.\nAnswer: 39, 1, 0.1, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 26606817.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/1)\/(-1) + 169. Let h be (-698)\/26*-1 + 26\/c. Find the second derivative of -j**4 - h*j**4 - 4*j + 7*j**4 - 21*j wrt j.\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-4)\/20)\/((-68)\/(-4))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -159*i**2 - 11*i + 45. Let y(k) = -32*k**2 - 2*k + 9. Let n(f) = 2*q(f) - 11*y(f). Find the first derivative of n(l) wrt l.\nAnswer: 68*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r + 2*r. Let v be (2\/r)\/(2\/20). Is v > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 1, -2\/9, -7\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 - 15*k**2 + 6*k**2 - 1150*k - 353*k**6 + 31*k**6 + 7*k**2 + 1163*k wrt k.\nAnswer: -38640*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 56. Suppose -z - 98 = -2*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 6*t - 12. What is the remainder when u(-5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k**2 + k + 4. Let l = -5 - -5. Let x be p(l). Suppose x*n - n - 30 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(108\/15))\/((14399\/(-6776))\/((-3)\/8)).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.667 - -1.167. What is the closest to 0.4 in 4, d, -27?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10501.\nAnswer: 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -l + 70, 0*p + 5*p - l - 92 = 0. Let c = p - 22. What is the units digit of 2\/c*-10*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66515*f**3 - 3 - 3095*f**3 + 3 - 2.\nAnswer: 63420*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1016552811*a**4 + 820294195*a?\nAnswer: -12198633732*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2. Let a(g) = 4*g + 2. Calculate a(d(z)).\nAnswer: -20*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 7*c + 27. Let j be s(9). Let l be -20*((-6)\/j)\/(2\/3). Solve l = 7*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {i: 9, p: 4, u: 6}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (-5 - (-15 + -5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 4575\/10)\/((-6)\/(-8)). Let v = 11 - q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -152 and 2\/343 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 223, 424, 613, 784, 931, 1048?\n\"Answer: -g**3 + 208*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r**3 + 5*r - 228.\nAnswer: 15*r**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from ecemmecc.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 1.96. Let q = 1.6 - l. Let w = 231.51 - 227.51. Sort w, 3, q in increasing order.\nAnswer: q, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let u be n(-4). Find p such that -7*p**4 - p**2 + 6*p**4 + u - 4 - 2*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let r be q + 1 + 6 + -5. Solve r = -h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177097190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20751998 or 20752000?\nAnswer: 20751998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a - 109 + 361 = 0. Suppose 0 = -a*j - 7*j + 208. Calculate the remainder when 168 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3737688*-0.023.\nAnswer: 85966.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/10)\/(4\/10). Let f(y) = -s + 8 + 0 + 7*y**2. Let j(t) = 10*t**2 + 6. Give 7*f(d) - 5*j(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 6*y + 147. Let w = y + 66. Let d = 22 - w. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322216506*b**2*h**2 + 23523*b*h**2 + 3*b*h - 495*h**2 wrt b?\nAnswer: -644433012*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/51*(-180)\/42\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16601110*k*s**2 + 13886340*k wrt s?\nAnswer: -33202220*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32194139 to the power of 1\/2, to the nearest integer?\nAnswer: 5674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.4359 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2674 - -2684. What is the nearest to 0 in 1\/8, 1\/2, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1188?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.1. Let y = 0.3 - j. Let p be 2\/7 + 52\/455. Which is the nearest to p? (a) 0.1 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l + 25*l = -l + 168 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 6*z - 132. Let o be m(15). Solve -2*v + 2*y + 6 = 0, -o*v + 3*y + 11 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2)\/((-4201)\/92422)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*b - 26, -4*g - 2*b = -2*g + 2. Suppose 5*n - 5*a - 180 = 0, g*n - 5*n + 45 = -4*a. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -370*w**3 + w**2 + 2*w. Let l be m(-1). Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301950 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjf when three letters picked without replacement from {j: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.166255 centuries to millennia.\nAnswer: 0.0166255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n - 60*n - 39 = 5*s, 57 = -6*s + n for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 27*s**2 + 14*s + 48. What are the prime factors of c(-24)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -764, -766, -772, -782?\n\"Answer: -2*o**2 + 4*o - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-9)\/(-7) - 40\/140 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 - 23*i - 14. Let s be a(-12). Let o(z) = 9*z - 14. Let b(g) = 21*g - 29. Let h(u) = 4*b(u) - 10*o(u). Is h(s) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -279881.04 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94500\/(-7350)*(-28)\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 584, -9, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 18. Let q(y) = -2*y - 6. Let u be q(-4). Let p(j) = u*j - 3*j + 396 - 396. Give m(p(i)).\nAnswer: 2*i**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, -3\/56, -51.82 in ascending order.\nAnswer: -51.82, -3, -2\/3, -3\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.37161 days to nanoseconds.\nAnswer: 2883307104000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from udctotc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18885 + -12678. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:14 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:20 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:52 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675264 divided by -168816.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 5:22 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 times -0.1?\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 6) in base 5?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1857.8 * -1807.\nAnswer: -3357044.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p - 3*p = 0. Let y(b) = 5*b - 220. Let q be y(p). Let w = -59 - q. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - i - 13, -5*q + 3 = 3*i. Let t = 6 + -4. Suppose -x + 3 = -t*x. Sort x, q, -1 in decreasing order.\nAnswer: q, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9754*1\nAnswer: 3.9754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 + 8*o**2 + 2*o - 1. Let t = 13 - 9. Let z be w(t). Is (-88)\/(-154) + 143\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccjcjjcc. Give prob of sequence cc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3682 + 62*n**2 - 3682)*(3 + 2 - 7).\nAnswer: -124*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 25*t - 483872 = -87467. What is the highest common divisor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3209.08 years?\nAnswer: 38508.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 15) to base 8\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 30*o**2 + o + 25. Give l(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.68 or -4126530?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 7*f = 56. What is the tens digit of (-4)\/f - (-849)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15955 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.82536629 rounded to 3 decimal places?\nAnswer: 6.825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 + 7 = -16*d. Suppose 0 = -4*t - t + 90. Calculate the highest common factor of d and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6684 divided by 3342?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 3:53 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31801)\/2065)\/((-7)\/20).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 194818524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18\/11)\/((-3)\/(-2))*(-1)\/(-2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, m: 16}. Give prob of sequence mrm.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8883 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + y**2 + 0 + (3*y + 2*y + 3*y)*(-111*y - 416*y + 112*y) to the form s*y + h + z*y**2 and give z.\nAnswer: -3319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**3 + 4*h**2 + 1. Let k(r) = -100*r**3 + 55*r**2 + 15. Give 4*k(y) - 55*n(y).\nAnswer: -15*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2680.752508.\nAnswer: -2681.752508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*u + 42*b*u**2 + 4*b - 3*u**2 + u wrt b?\nAnswer: -3*b**2*u + 42*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 3*a**2 + 4. Let i be 8\/24 - (-14)\/3. Suppose 0 = o - 3*r + 9, -3*o - 12 = -i*r + 7. Give j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 1068, 2408, 4284, 6696?\nAnswer: 9644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - -3) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2142, 4280, 6416, 8550?\n\"Answer: -k**2 + 2141*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 4*p + 3*p)*(-2*p**3 - 3 + 3) + 3*p**4 + 264040*p**3 - 263950*p**3 - 2*p**4 to z + q*p**4 + f*p**2 + g*p + j*p**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:34 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2b25 - 0?\nAnswer: -a2b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9605 minus -41326.9643?\nAnswer: 31721.9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.098118 + 62.09812. Let h = 11 - x. What is h rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.63 - -147.37. Which is smaller: h or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 492*f**2 - 2*f + 2. Let n(j) = 493*j**2 - 3*j + 3. Give 2*n(i) - 3*y(i).\nAnswer: -490*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/10)\/((-1)\/(-4)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17380?\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from ammakkkakamaagfmg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by -263704.\nAnswer: 107\/131852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -991*h*p*r**2 - h*p - 743916*h*r + 5*h - 58*p**2 - p*r**2 + 2*r**2 wrt p.\nAnswer: -991*h*r**2 - h - 116*p - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (693\/(-180) + 4)\/((-11)\/(110\/5))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = 3*j, j - 2 = 2*p - 3. Suppose 3*m + 196 = 4*m. Suppose p = -4*r - 0*r + m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1673634)\/44308 + (-10)\/44.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 260931634 and -98.\nAnswer: 260931536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7298 + -0.2702. What is the nearest to 1\/3 in -2\/3, x, -0.0403?\nAnswer: -0.0403","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 673?\nAnswer: -5\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.6 - -0.6. Let t = 30.2 + -28.2. Let u be 7\/(-3) + 4 + -2. Which is the nearest to u? (a) t (b) -7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 - 23727*b**4 + 6980*b + 5?\nAnswer: 40*b**3 - 284724*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 - -0.0035005.\nAnswer: -48.9964995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27316279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from peeeppeppeepep?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 + 113929484*w + 1622490915563282 = 0.\nAnswer: -28482371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -13 (b) 1 (c) -4 (d) 6 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rajcahhcaarhaha. Give prob of sequence rjac.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*z - 11, 0*z = -3*z - 15. Let m(p) = -p**3 + 13*p**2 - 12*p + 15. Let k be m(h). Let n be (-2)\/k*(-5)\/3. Is n < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 622083048 and 8168?\nAnswer: 8168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x + 2*c - 1, -2*x - 4*c = 6. Let l = -1928543\/116882 + -5\/58441. Calculate the common denominator of l and x\/(-3)*(-36)\/(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j - 2. Let q be d(-3). Suppose 4*g - 3*u = 333, q*g - u = 213 + 122. Suppose 5*a - g = -24. What is the greatest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 24 = 0. Suppose u = 4*u + m - 11, 5*u + 10 = 4*m. Suppose -2*f + w = u. Solve -8 = f*b - b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/84 - 492\/(-168).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcoc when four letters picked without replacement from {p: 7, c: 2, o: 11}?\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/240 or 1?\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1 + sqrt(175) - sqrt(175)) + sqrt(175))*2)**2.\nAnswer: 200*sqrt(7) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -44*2\/(-8) + 5. Suppose d - y = -11. Suppose -2*s + 5*s = 69. Solve 5*w - 3*w - d*m + s = 0, -4*w - 4*m = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21212 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 5. Let s(v) = -10*v**3 + 5*v**2 + 3*v + 13. Let f be s(x). Suppose 190 = 2*k - 5*j - 1378, -j = 3*k - f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/232 - (-3)\/(-4 + 1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 462\/1205 + 4\/241. Which is the fourth biggest value? (a) -2\/13 (b) 0.06 (c) 1\/4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, 41, 355, 959, 1949?\n\"Answer: 16*l**3 + l**2 + 5*l - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -140) + 3\/1. Suppose 3*v - y = -43. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.67+-0.07\nAnswer: -42.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 159528360*m.\nAnswer: 4*m*(m + 39882090)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 147498001 divided by 2611?\nAnswer: 56491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3165.75 * -0.4\nAnswer: 1266.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5968 + 5963. Sort -186, -1, t, -3.\nAnswer: -186, t, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 3)*((-2 - 1 + 5)*(-5*h + 3*h + 0*h) + h - h + 2*h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*k + 32 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110110011 - -10?\nAnswer: 111110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 257*s**3 - 3*s - 27*s - 319 + 788*s**2 - 191*s**3 - 34*s - 20*s**4 - 449 - 2*s**5 = 0.\nAnswer: -8, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354 times -0.06\nAnswer: 21.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (3 - (2 - 2)). Let g be (s\/(-2))\/((-18)\/(-24)). Let o be 1699 + 1\/(-1 - g). Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**3 - 2*r**2 - 14*r - 28. What is o(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**5\/12 - 9*m**2\/2 - 5. Let x(b) be the second derivative of s(b). Let g(z) = -2*z**2. What is g(x(p))?\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/120 - n**5\/60 - 2*n**2. Factor c(p).\nAnswer: p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 336668, 673231, 1009748, 1346225, 1682668, 2019083?\n\"Answer: w**3 - 29*w**2 + 336643*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/3 (b) 6 (c) -3838 (d) -2\/17 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (637*f + 317*f + 190*f + 144*f - 286*f - 5)*(2 + 1 - 5).\nAnswer: -2004*f + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 2. Let y(d) = -d**3 + 18*d**2 + d - 15. Let z be y(18). Calculate t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - (sqrt(143) + (sqrt(143)*-3 - sqrt(143) - sqrt(143))*-6) - sqrt(143)))\/(sqrt(99)\/(sqrt(9)*5 + sqrt(9))).\nAnswer: -180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(56)\/(sqrt(21)\/sqrt(3))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/((((s\/(s*s\/(s**1\/s)))\/s*s)\/s)\/s))**4)**(-2\/71))**(-23\/3))**(-50) assuming s is positive.\nAnswer: s**(-46000\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21961853*o + 9888637 wrt o.\nAnswer: 21961853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1105*u**2 + 7688*u + 101. Give y(7).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32441027059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*z - 31, 2*z + 2*g + g = 19. Suppose 3*k - 139 = 26. Calculate the remainder when k is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + 15 = 0. Let k be z + 0 + 3 - -2. Suppose k*m - 38 = -5*a + 2*a, 117 = 5*m + 2*a. Solve -7*u + m = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1611 times 10\nAnswer: 16110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(170)*2 - sqrt(170)) + sqrt(170) + (sqrt(170) - (sqrt(170) - 2*sqrt(170)*4)))\/((-5*sqrt(120))\/sqrt(12) - (sqrt(10) - sqrt(30)\/sqrt(147))).\nAnswer: -21*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216) + -5)**2 - (3 + 1 + sqrt(1216))**2.\nAnswer: -224*sqrt(19) + 3657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 691*y - 1499*y - 999*y + 523*y - 1800*y + 1818 wrt y.\nAnswer: -3084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -35)*1 + -3. Suppose -f + 6 - 4 = 0. Suppose 0 = -2*m + f*g + g + 17, 0 = -5*m + 2*g + 37. What is the highest common factor of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**7\/21 - 7*a**4\/12 - 4*a. Find the third derivative of x(u) wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-5)\/3 - (-6)\/(-9). Let i(z) be the second derivative of 0*z**2 + 1\/18*z**4 + v - 1\/60*z**5 - 2*z + 0*z**3. Let i(c) = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-45) + (2 - 2) - 1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 5*z**4 - 2*z**4 - z**4 + z**4 - 2*z**4 + (0 + 0 - z**2)*(z**2 - z + z) - 38*z**3 + 38*z**3 - 15*z**4 + 3*z**4 + z**4 - 3*z**4.\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -57.9979. What is v rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88)*-1)\/sqrt(8) - ((sqrt(121)*3*4 - sqrt(121))\/sqrt(11))**2.\nAnswer: -1331 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 9. Let h be u(-5). Suppose k - w - w - h = 0, 5*k + w = 49. Solve k*t + 12 = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397*l**4 + 5401 + 22*l**4 - 40*l - 518*l**4 - 2707 - 2702 wrt l.\nAnswer: -10716*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 3*a**4\/4 + 34*a**3\/5 + 147*a**2\/10 + 12*a - 94. Factor f(s).\nAnswer: 3*(s + 1)*(s + 5)*(5*s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*t - 5 = 21, 0 = -w - 3*t - 4. Let l(k) = -1414287*k - 9. Let d be l(w). Round d to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27828 and 13914?\nAnswer: 27828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -9. Let d = -15 - g. Calculate the highest common divisor of d and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224720 and 7420?\nAnswer: 1573040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*q = 27, 2*j - 30 = 24*q - 22*q. Let y(h) be the first derivative of -11\/2*h**2 - j - 13*h. Differentiate y(u) wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*y - 966, 5*s + 2*y = 4*y + 954. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100011110001 (base 2) to base 14.\nAnswer: 9b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81807193*j**4 + 9*j**2 - 101*j + 617 wrt j.\nAnswer: 1963372632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50 + 3a80?\nAnswer: 3a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b - 18. Determine y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*b - 76*b = -850. Let j(s) = 170 - s - b. Let r(t) = 2*t + 79. What is r(j(i))?\nAnswer: -2*i + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 2002.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323740 and 104160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288267393.\nAnswer: 3, 53, 20680927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1797100, 3594201, 5391302, 7188403, 8985504, 10782605?\n\"Answer: 1797101*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5188400 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = x - 13, 7*x + 13*j = 12*j - 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1319 divide 3417529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13021 + 2?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 2*l - 3*l to w + g*l and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5041039 grams in milligrams?\nAnswer: 504.1039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t)\/(t*t**(-10)))**5\/((t*t**(-1)*t)**(1\/8)\/(t**(2\/5)*t\/(t*t\/(t*t*t**4)))) assuming t is positive.\nAnswer: t**(1811\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 244073803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from {v: 1, p: 1, s: 2, q: 2, e: 6}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*s - 6. Let n = 0.046 - 0.101. Let d = n - -0.455. Which is the second smallest value? (a) s (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 68*z\/7 - 528\/7.\nAnswer: -2*(z - 22)*(z - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -14 - (-3 + 3). Suppose 0*h = 3*h + 3, 0 = -2*n + 2*h + g. Solve -v - n = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 2*a**4 + 2*a)*(-4 - 2 + 1) + 2*a**4 - 2*a**4 - 5*a**4 to m + i*a**3 + x*a**4 + p*a**2 + k*a and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(132) - sqrt(132)) - (sqrt(132) + sqrt(132) + sqrt(132)*2)*6)\/(sqrt(192)*-3 - (sqrt(12) + sqrt(108)*-3)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogug when four letters picked without replacement from {o: 1, u: 2, g: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a46 (base 12) in base 9?\nAnswer: -12470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -3, 0.356, 3, 1, 0 in increasing order.\nAnswer: -3, -4\/7, 0, 0.356, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 3*p - 1. Is d(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/21 + 23\/168. Let g(i) be the third derivative of 0*i - j*i**3 - 1\/96*i**4 - 16*i**2 + 1\/240*i**5 + 1\/480*i**6 + 0. Let g(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/(-27))\/((-124)\/93).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5 + 18*r**4 + 24*r**3 - 18*r**2 - 21*r = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659380713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -111*f + 115*f. Let n(l) = l**3 - l**2 - 3. Let m be n(3). What is the greatest common factor of f and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(3*j - 2*j - 2*j) + (0 + 4 + 2)*(-3 + 3 - 2*j).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 1)*((-102)\/42 + 1). Suppose -2785 = u*n - 15*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j + x - 19, 3*j + 4*x = 60. What is the remainder when 29 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 4*o + 2*o + (0 - 2 + 1)*(0*o - 4*o + 3*o) + 0*o + o + o - o - 2 + 2 + (-4*o + 0*o + 3*o)*(3 - 3 + 2) + 1 - 1 + 2*o - 3*o + 0 + 0 + 0*o - o - o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14. Let i = z - -5. Solve -i = 2*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-30))\/(21\/15)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:57 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 0.5, 2, 0.2.\nAnswer: 0.2, 1\/3, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i**4 - 2202*i**2 - 10*i**4 + 2236*i**2 - 2*i**4 + 2*i**2 - 2*i**2 + (0 - 1 - 1)*(i**3 - i**3 - 3*i**4) + 3 - i**4 - 3 + i**4 + 3*i**4 - 2*i**4.\nAnswer: 7*i**4 + 34*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -6*q + 51. Let m = -47 - q. Suppose m*i + 221 - 729 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 h when four letters picked without replacement from imhhmmiii?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2 + e661d?\nAnswer: e653b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = x - 5*x - 4*i, -15 = -3*i. Let p(b) = x + 0*b + 0*b - b. Let u be p(0). Solve u + 5 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4150\/31 + -570871\/4278. What is the common denominator of l and (22\/(-20))\/((-100)\/875)?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1841 and 111\/22960.\nAnswer: 6038480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*q**3 - 1273*q**2 + q + 25598378 wrt q.\nAnswer: -180*q**2 - 2546*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + (-3*(sqrt(1872) + -2) - sqrt(1872)) - ((sqrt(1872) + 0)*-4 + -4*-2*sqrt(1872)))**2 + -2).\nAnswer: -12672*sqrt(13) + 719562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -58 + 8. Let g be 21\/(-6)*56\/4. Is a smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v - 0. Put -11, -2, v in descending order.\nAnswer: v, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1373 divide 1699774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/((-2025)\/(-360))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001776893 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let x(t) = -t + 10*t - 8 - t. Let v = 24 - 23. Let h be (4\/(-4) - v) + 3. Give h*x(s) + 6*g(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-228)\/44 + (-22)\/(-121). Let y(j) = -7*j**2 - 17*j - 7. Let p(h) = 3*h**2 + 8*h + 4. Let d(q) = -5*p(q) - 2*y(q). Determine d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28643 = 9*n + 4721. List the prime factors of n.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = h - 4*o, 2*o = 2*h - 987 + 247. Suppose -15*u = 19*u - h. Calculate the remainder when u is divided by 3 + -2*(-1)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 13*j**2 + 16*j + 14. Let w = -1 + 23. Calculate the remainder when o(14) is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -4\/407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 2*v)*(2 - 2 - v)*(3*v**2 - v**2 - v**2)*(-40891*v - 40905*v - 29345 + 81795*v).\nAnswer: v**5 + 29345*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -6119 = -6115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k - 9*k - 10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/5693 - 335878\/51237. Find the common denominator of z and (2 - (-10)\/(-4))\/(6\/(-68)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/6123 and 3\/1256?\nAnswer: 48984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2341*c*r*v**2 + 20*c*r + 240*c*v**2 + r*v**2 + 9*r*v + 32*v**2 + 57364*v with respect to c.\nAnswer: -2341*r*v**2 + 20*r + 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 75. Let x(u) = -2*u - 3. Determine x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*f = 16, -3*m + 9 = f - 1. Let o(r) = 6*r**3 - 2*r**2 + 2*r + 0*r - r. Let b be o(1). Sort -1, b, m in descending order.\nAnswer: b, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99658.\nAnswer: 2, 13, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/373 + -1907\/7833. Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/4))\/q)**(5\/8)*q**(-2\/7)*q**(1\/3)*q assuming q is positive.\nAnswer: q**(599\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*k**2 + 1216*k**2 - 604*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(6\/(-156)). Let t = 48 + v. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4225 and 5070.\nAnswer: 25350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -12*s**2 - 13*s + 4. Let q(g) = 3*g**2 + 3*g - 1. Let z = -9 - -11. Let r(c) = z*o(c) + 9*q(c). Calculate r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6 - (-14)\/6) + -3. Let g(r) = j*r**2 + 6*r**2 - 8*r**2. Let h(z) = -5*z + 2*z - z + 0*z. Determine g(h(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1121, 3, 5, -1, -22 in increasing order.\nAnswer: -1121, -22, -5, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 28*d**2 - 50*d**2 - 51*d**2 - d + d. Let x(f) = 9*f. Calculate x(u(r)).\nAnswer: -657*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74115*w**5 + 309285*w**4 + 288975*w**3 + 85435*w**2 + 9640*w + 300 = 0. Calculate w.\nAnswer: -1\/3, -2\/9, -3\/61, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0238425 rounded to 4 decimal places?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(2736)*-1*1*6.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 + 4*w**2 - 4*w + 38. Let q(a) = -a**3 - a**2 + a - 13. Let n(o) = -2*j(o) - 7*q(o). List the prime factors of n(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 65 - 6\/(-3 + 1). Suppose -4*s + 5*h + 70 = 0, -p = -s - 2*s - 3*h. What is the remainder when 0 + 2 - (-136)\/4 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995660\/100 + 4\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -40*x + 26. Let v be a(-6). What is the greatest common divisor of v and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10 - 2*w**3 - 14*w**2 + 14*w - 11 + 6*w**3 - 3*w**3. Let u be j(13). Suppose 15*f - u*f = 48. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d*d**(-6)\/d*d)\/d)*d)\/(d\/(d**(-2\/9)\/d))*d**3*(d**(2\/5)\/d)\/d*d)**39 assuming d is positive.\nAnswer: d**(4199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 12 - (58 - (9 - (15 - (23 - 12)))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 329067633843\/(-96930). Let m = -3394901 - f. Let v = -2\/359 - m. Sort v, 2\/15, -0.4 in increasing order.\nAnswer: -0.4, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.932527 and 0?\nAnswer: 7.932527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 464, 1780, 4340, 8558, 14848, 23624, 35300?\nAnswer: 50290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22903 - -42531\/2. Let x(f) = 71*f + 40. Let m be x(-23). Let d = m - q. What is the common denominator of d and 58\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5\/8 - 3*i**4\/8 + 15*i**3\/8 - 9*i**2\/8.\nAnswer: -3*i**2*(i - 1)**2*(i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1. Let r(h) = 2*h**2 + 50*h - 15*h**2 + 4 - 27*h**2. Let z(x) = -4*l(x) + r(x). What is the second derivative of z(g) wrt g?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197170 is divided by 440?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -47*n + 30. Let o be d(5). Let b = 216 + o. Calculate the highest common factor of 44 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 9*k**6\/320 - 13*k**5\/40 + 33*k**4\/64 + 5*k**3\/8 - 18*k**2. Factor v(y).\nAnswer: 3*(y - 5)*(y - 1)*(9*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 36. Let r = -45 + 106. What is the remainder when r is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82682479409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 88 = k - 2*k, m + 5*k = 40. Solve -6*j = -5*j + 5*u - 20, 0 = -3*j - 5*u + m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901709767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:15 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 2)*(4 - s - 4 + (0 + 0 + 2)*(5 + 2*s - 5) + 4 + s - 4 + 2 - 2 - s + (3 + 1 - 5)*(0*s + s + 0*s)) in the form k + i*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 93 = -4*d, -2*d + 2*x + 103884 = 103934 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:24 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-72)*-2)\/((102\/252)\/17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89\/3 + -30. Let t(v) = v**2 + 7*v + 4 + 1 + 4 - 3. Let s be t(-6). Which is smaller: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - s = 5, 0 = 3*s + 19 - 4. Suppose -3*g = -4*w - 1746, w - 4*w = p. What are the prime factors of g\/54 - 2\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/12*((-13)\/(-15) + -1). Which is the closest to -2? (a) 5 (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10041284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/20 and 7\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -738\/10931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsasssblas. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -269d7 (base 16) to base 8\nAnswer: -464727","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a microgram in nanograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 14*m + 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = l + 8, -5*l + x = 22. Let m(f) = 7*f**2 + 4*f + 5. Let y(w) = -8 + 0*w - 3*w**2 - 6*w - 8*w**2. Calculate l*y(g) - 8*m(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4343319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (291 - 222) + 20 - (8 + 1 + (1 - 2))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 7*k**2 + 2*k - 7. Let b be l(7). Suppose -2*u = -b*u + 15. Let s be 1*2\/(-10)*3. What is the closest to -1 in u, s, -1\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/12*6\/5. Let i(x) = -x - 1. Let s be i(b). Let j be s - -3 - 1 - 2. Solve -3*u - 15 = 4*p, -j*u = 3*p - 5*p - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Let s = 4234 + -4235. Which is the closest to s? (a) 3 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkykmkmkck. What is prob of sequence ckmy?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 275\/15 - 6\/(-9) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 2*t)*(0*t + 4*t - 6*t) + 4*t**2 - 4*t**2 - t**2 - 104 + 54 + 165*t**2 + 54.\nAnswer: 166*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 5*z + 18, -83*f + 79*f = 2*z + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316415201 to the power of 1\/2, to the nearest integer?\nAnswer: 36282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**3 - 41*y**2 + 23*y + 69. What is h(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 407, 303, 21, -529, -1437?\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513150 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 227 = 2. Let j = 133 - l. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 a factor of 543736961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4.08. Let h = 9.08 + l. Let q = -4 + h. What is the closest to 0 in 0.5, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 20\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720))*5 + -2.\nAnswer: -7 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 818813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.7 - -44. Sort 3, o, 0 in ascending order.\nAnswer: 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -375*j**3 - 1128*j**2 - 759*j - 6.\nAnswer: -3*(j + 1)*(j + 2)*(125*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11180 divided by -215\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q - 1095. Calculate g(-80).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvl when three letters picked without replacement from yxllyyyvyvlyvvh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217956762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*c = -4, -17 = -c - 18. Solve 4 = 5*d - r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342.669*-15.\nAnswer: -5140.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820065 is divided by 1382?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 13. Let q be g(-12). Sort -1, q, 3 in decreasing order.\nAnswer: 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 390.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryu when three letters picked without replacement from {u: 4, y: 5, r: 7}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 less than 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 455\/(-630)*90 - -19?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 41.87. Let a = x - -0.11. Let t = a + -1.27. What is t rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 8:17 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 7\/3 (b) -4 (c) -1 (d) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4758416885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*y - 123277 = -123282, 20 = 3*t - y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -57431.\nAnswer: 3\/57431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 44*w**2 + 1. What is the units digit of x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 39905 = -2*d, 3*d - 59861 = 10*s - 17*s. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36467427?\nAnswer: 3, 79, 153871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/30 + 2\/6)*12. Let x(m) = -6*m**2 - 3*m + 291. Let i(r) = -2*r**2 - r + 97. Let g(v) = o*x(v) - 17*i(v). What are the prime factors of g(0)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, f: 6}. Give prob of picking 3 v and 1 f.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -0.05 (b) 4\/5 (c) -220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2466974 divided by 367?\nAnswer: -6722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439221 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22238\/133 greater than 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Suppose -k*j + j = 0. Suppose -2*l + j*a - 4*a = -32, 4*a = 20. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 806*g*k*p*z - 22*g*k*z - 2*g*p**2*z - 94*g*p*z - 2*g*p - k*p**2*z + 12*p**2*z + 2*p**2 wrt k?\nAnswer: 806*g*p*z - 22*g*z - p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 265074.4+0.4\nAnswer: 265074.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0. Let o = -0.096 - -0.096. What is the nearest to c in 0.4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 21. Suppose v*x - 6*x - 1638 = 0. Let i = x - -795. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*c - 32523 = -523*c - 65*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**4 - 9*u**4 - u**2 - 14*u**2 - 10*u**2 - 2*u**3 wrt u?\nAnswer: -336*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:37 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39102888829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4068\/(-6102))\/((-1)\/(-41)*((-10)\/(-15))\/2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 280 = 35. What is the highest common divisor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-9))\/((16\/(-18))\/2).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -34*u. Suppose 792 = 5*l - 0*i - 2*i, u = -3*l + i + 475. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 39 = h - 5*p, -2*h + 24 = -4*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*m + 3*m - 20, 4*m = -k - 5. Let u = -1111\/7 + 159. Put u, 0.1, k in ascending order.\nAnswer: k, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.05 (b) 3 (c) -0.03 (d) 115 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9374 = -4*z - 4*r - 1178, -z + 2053 = 3*r. What is the highest common divisor of 534 and z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272531630 rounded to the nearest 100000?\nAnswer: -272500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 55 = -11*v + 6*v, -3*j - 4*v + 40 = 0. Solve -j*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-21) + (3051\/(-252) - -12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 89 (b) -0.1 (c) 4\/7 (d) 1\/7 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 288\/192*32\/6. Suppose -2*x + r*x = x. Solve x = 3*b - 21 + 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 4. Let f be d(4). Let w = f - -35. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3755 - -0.4755. What is the nearest to 2 in c, -1.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 70*f**2 - 175*f - 2561. Give k(-68).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*u + 3*u - 4, 0 = -5*p - 4*u + 13. Let z = -1612 - -3762. Suppose -2140 + z = -5*m. Put m, 0, p in ascending order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-4 - -7) - 10) + 1 + 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 314 + -3456\/11. Let l = -4 - -3. Sort -8, l, r in increasing order.\nAnswer: -8, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/(p\/p**(-8))*(p\/(p\/(p\/p**(-2))))\/p*p*p\/p**2*p\/p**(2\/9)*p*p*p assuming p is positive.\nAnswer: p**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3553*f**2 + 65*f - 7. Let q(g) = 7105*g**2 + 117*g - 13. Give -5*q(m) + 9*u(m).\nAnswer: -3548*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4*2*sqrt(68)*2)\/(sqrt(100)*2 + sqrt(100) + 1*sqrt(36)))**2.\nAnswer: 1250\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138, -306, -504, -732, -990, -1278?\n\"Answer: -15*c**2 - 123*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 235075758*y**3 - 312329779?\nAnswer: 705227274*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 8*c**2. Let n be m(-8). Suppose n = -2*v + v + 9. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 900*g**3 - 9835*g**2 + 302160*g + 971100 = 0 for g.\nAnswer: -166, -26, -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5 + 16*g**4 + 603*g**3 - 6026*g**2 + 16448*g - 11040 = 0.\nAnswer: -23, 1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8280 divided by 36\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 7469 (b) 0.03 (c) -1 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 4*q + 2. Let f be g(2). Suppose -2*i + u - 4 + 1 = 0, 2*u = 2*i + f. Suppose 6 = -i*m + 3*m. Sort 5, 0, m in decreasing order.\nAnswer: 5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 41*c + 2. Let m be a(-2). What is the common denominator of 6\/(-8) + (-148)\/m and 8\/20 + (-299)\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 257*h**5\/20 - h**4\/12 - h**3\/3 + h**2 - h. Let n be j(1). Suppose -u - 2*u + x + 752 = 0, -u = 5*x - n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 8:55 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 bigger than -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.656173079 rounded to 3 dps?\nAnswer: -0.656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + (0 - (-25 + 13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 290237\/4020 bigger than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a*j**4 - 3*a*j**3 - 2*a*j + 19*j**4 + 52*j**2 - j wrt j?\nAnswer: 168*a*j - 18*a + 456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2917633 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 32 - 36 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5997 - 16023 = 557*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -0.2, 4, 12, 1\/6 in decreasing order.\nAnswer: 12, 4, 1\/6, -0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522154, 522152, 522150, 522148, 522146, 522144?\nAnswer: 522142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 2*i**2 - i - 3. Let w be x(3). Suppose -2*z + w*z + 2 = 4*b, 4*z = 4*b + 4. Suppose -z*u = u - 15. Solve -u*q = 27 - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, 22, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-30)\/96) - -6. Let w be (-294)\/(-70) - 8\/x. Sort 8, 0, w, -4 in decreasing order.\nAnswer: 8, w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031225 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -175. Suppose -2*c = -3*u - 5*c + 72, -2*c = 4*u - 86. Suppose 0 = -4*k + 1 + u. What is the smallest value in k, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*c + 17, -4*a - 4*c = -a. Let z = a - 1. Suppose 9 = -0*x + z*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/11 - 10*r**2\/11 + 12*r\/11 = 0 for r.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 710209*f**2 + 721740*f?\nAnswer: 1420418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 66 - 88 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 3) in base 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 7, 4 in increasing order.\nAnswer: -5, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76)*6 - (sqrt(38)\/((sqrt(162) - sqrt(2)) + sqrt(2)) + -5).\nAnswer: 9 + 107*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 11*u - 9*u. Calculate the least common multiple of 12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -18855\nAnswer: -2\/18855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80542313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from {k: 3, d: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3 + 165*g**2*o + 6*g**2 - 7*g*o + 22*g + 60*o + 1 wrt g?\nAnswer: -6*g + 330*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -23*o - 2*o. Solve 3*p = p + o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 8 + 20 - 5*o**3)*(o + o - 3*o).\nAnswer: 7*o**4 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 6*a + 8. Let f be d(-6). Let z = f - 5. Suppose 2*m = -3*m. Solve n - z*r + 9 = -4*n, m = 4*r + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12949811.\nAnswer: 7, 19, 97367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9324 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 18. Suppose m*u - 55 - 71 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98234*s + 17*s**2 - 98276*s + 294772*s - 98262*s.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 2*d**2 - 3*d + 2. Let h be 16\/104 - 128\/(-13). Let t(v) = v**2 - 11*v + 11. Let k be t(h). Let z be j(k). Solve u - 4 = -z*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 296027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:32 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2)\/(4\/(-6)). Let i(w) be the third derivative of -w**5\/40 - w**4\/12 - 17*w**3\/6 + w**2 + 28. Let s(c) be the first derivative of i(c). Give s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 60 = -0*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/12*6*(3 - 7038\/2340)?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a - 1. Let u be j(2). Which is smaller: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11515 and 9870.\nAnswer: 69090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j - 3. Let i be (-6)\/(-14) - (-3)\/j. Let u = -13 + 13. Is i not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -211*s + 4. Let t be a(-3). Suppose 2*r = 5*o - t, -2*o - 4*r + 51 + 199 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 89.7. What is the closest to 0 in -3\/2, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597 divided by 39218?\nAnswer: -1597\/39218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**2 - 6 + 0*h**3 + 2*h**3 + 6.\nAnswer: 2*h**3 + 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -283 * 59.\nAnswer: -16697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -7) + 82789588\/544. Let l = 152184 - d. Calculate the common denominator of 83\/28 and l.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:16 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and (-25)\/(-60)*113\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(272))*1 + 3)**2.\nAnswer: 56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -321, -647, -975, -1305, -1637?\n\"Answer: -v**2 - 323*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101 - 1201303?\nAnswer: -1211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 - 158. Let p be r\/(-4)*18\/(-81). Which is the fourth smallest value? (a) p (b) -0.3 (c) -1.1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 - 8*m**3\/3 - 8*m**2 - 890*m + 5. Calculate k(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 less than 0.3?\nAnswer: 46.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 98.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. Suppose -12 = -m*p - 2*p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 20900.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5903, -5908, -5915, -5924, -5935, -5948?\nAnswer: -5963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 10. Let k = g - -8. Let y = 4.06 - 0.06. Sort k, y, -4 in ascending order.\nAnswer: -4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 154 + -10c2?\nAnswer: -e6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321 - 337 - 334 + 992 + 20277*v to u + k*v and give k.\nAnswer: 20277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.5 less than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1549*y**6 + 7*y**2 + 67*y wrt y.\nAnswer: -185880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zczm when four letters picked without replacement from zzmmzcmcmzmczcz?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1028\/2057 + 1\/4114. What is the smallest value in -0.4, w, 5\/2, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 + 297. Suppose 0 = 5*n + 3*w - c, 0 = 4*w - w - 9. Differentiate 11*q - n*q - q + 10 wrt q.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/26)\/((-2)\/8 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 41. Let o(t) = -t. Let u(z) = -4*o(z) + p(z). Let j(n) = -22640*n + 45302*n - 22662*n - n**2. Determine u(j(w)).\nAnswer: 2*w**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-4796)\/55 - 1\/(-5) - (-1138 + 1139))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.143 * -2.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 4*q - 5. Give a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-126) + 76\/171?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 58, 270, -5, 3 in descending order.\nAnswer: 270, 58, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -124292920 to the nearest one million.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6626 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 190*i + 1634. Let n be c(-8). Solve 132 = -41*j - n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 4971820?\nAnswer: -124295500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*z - 6, 4*k + 5*z - 105 = -81 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1824 + 84*v - 1824 to the form b + f*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120454 at least as big as 120450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 14. Suppose -2*m = 4*t - 6*m + 8, -i*t = 2*m - 18. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150085356?\nAnswer: 2, 3, 349, 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 15*f**2 - 13*f + 14. Let y be u(-14). Suppose 35*p - 42*p - 56 = y. What is the least common multiple of (p - -1)\/((-9)\/18) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/65)\/((-35)\/(-49))\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uububbuuububbubbbbuu. What is prob of picking 3 u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -25. Which is the third smallest value? (a) x (b) 0.3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l - 2*k - 218 = 0, -2*k - 112 = l. Calculate the common denominator of (-3)\/5 - ((-519)\/(-135) + -1) and ((-1)\/3)\/(2\/l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.58536 take away 698.808?\nAnswer: -685.22264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 4*c - 10 = 18*n, -2*n - 4 = -2*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 61*j**2 - 121*j - 186. Let q be x(-59). Let f(o) be the second derivative of -o**3\/3 - 13*o**2\/2 - 3*o. What is f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8290802 is divided by 2800.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0598 - -3.9402. Let k = -2.6 - -3. Sort 3\/5, k, y in decreasing order.\nAnswer: y, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3004053 (base 6) to base 8\nAnswer: 423101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/15 + 20*x + 298\/15 = 0. What is x?\nAnswer: -149, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2 - 4*v - 1. Let y be g(-4). Suppose 0 = -u + 2 - 5. Let a be (6\/u)\/(4\/10). Sort 3, a, y in decreasing order.\nAnswer: 3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/27*7\/((-7)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 20 = 5*r, -4*r + 198*p - 52 = 204*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7fb (base 16) in base 15?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/21, -1\/5, 0.06, -11, 233?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13336, 13334, 13332, 13330, 13328, 13326?\n\"Answer: -2*g + 13338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 9*d + 12. Let n be o(10). Let w = 39 + -39. Suppose 3*i + 4*s - 16 - 3 = w, n = 2*i - 2*s. What is the smallest common multiple of 3 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099*o + 480*o - 81000 - 51636 = 0 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1102122?\nAnswer: -1102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjkj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-35))\/((-14)\/49)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 4 = 0. Let g(j) = 4*j**2 + 3*j + 1. Let c be g(-1). Solve x*q = -c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)*-4)**2*2.\nAnswer: -96*sqrt(19) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 2, o: 7, r: 4, i: 3}. Give prob of picking 4 r.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3264\/144)\/17 + 154\/(-3) - (-90)\/6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**5 - 18*c**4 + 6*c**3 + 75*c**2 - 57*c. Let y(f) = 4*f**5 - f**3 - f**2 - f. Let d(l) = -s(l) - 3*y(l). Find m such that d(m) = 0.\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/30 - 2*o**2 + 16. Let y(z) = -9*z**2. What is x(y(d))?\nAnswer: 162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17375 - -17748. Which is bigger: 375 or v?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 1852558.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/63 + (-1138)\/(-42). Let l be -11 - -8 - -1*w. Let c(t) = -6*t + 5. Let s(f) = 30*f - 24. Give l*c(j) + 5*s(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 40*q + 3. Let b(c) = -900462*c. Give y(b(a)).\nAnswer: -36018480*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4074 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 + 12 - 12.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/35 and 9\/365?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 6*c + 1. Let o be (-1)\/3 - (-40)\/(-6). Let s = o - -21. Suppose -2*l = -4, -3*l - s = -4*n - 0*l. Give g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 25*m**2 - 57*m - 129. What is the thousands digit of w(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18205?\nAnswer: 5, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(9*w - w - 12 - 10*w) to the form x*w + o and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 19*u + 17. What are the prime factors of k(63)?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 - 4*p + 5. Let r(n) = -6*n**3 - 2*n**2 - n. Let s be r(-1). Let t be j(s). Solve -5*f = 3*b + 14 + t, 0 = 4*f - 2*b + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112212111012 (base 3) to base 9.\nAnswer: 485435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(13) + -2 + -4)**2 + 5.\nAnswer: -16*sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 5. Let l(p) = 3*p - 15. Let d(j) = -7*i(j) - 2*l(j). Give d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332.8 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -1066, -1073, -1080?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((((c\/c**(1\/9))\/c*c)\/c)\/c))\/(c\/c**(3\/7))*(c**1)**(-1\/13)*(c**(-5)*c**(-2)*c)\/(c\/c**(-6)*c**3) assuming c is positive.\nAnswer: c**(-11906\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 549*u**2 + 191*u**2 + 9*u**4 - 60*u**3 + 2312*u + 280*u**2 - 8*u**4 - 6*u**3.\nAnswer: u*(u - 34)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*h + 41*h + 87*h - 74.\nAnswer: 297*h - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001010100 + 11?\nAnswer: -110001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 - 212. Find the common denominator of 43\/24 and (r*(-1)\/5)\/((-8)\/(-15)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102540976 - -33.2\nAnswer: -102540942.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 take away 506?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 + c - 2*c**3 + 4*c**4 - 14*c**4 + 11*c**4 in the form i*c + d*c**4 + l + j*c**2 + a*c**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179996 is divided by 559.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1128895 (b) 4 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 + 3*y - 2. What is the units digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114483 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -112*a + 154. Let z be v(-11). Suppose -2*p = i - 1760, -3*p + 5*i = -z - 1267. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23097382 and 16798096?\nAnswer: 184779056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 2*h**2 - 5*h - 3. Let z be t(-3). What is the units digit of 1 - (36\/z)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((22 - 10) + 12)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgmprlmmrmp. Give prob of sequence rgm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*l**2 + 82*l**2 + 17*l - 40*l**2)*(-2 + 3 + 1).\nAnswer: -2*l**2 + 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 114. Give v(-76).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4480574 is divided by 12515.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133096362229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2211221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 0.32 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, -551, -1150?\n\"Answer: -599*q + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/6 + (-4)\/6. Let w(r) = -2*r**2 + 2*r - 1. Let x(m) = -2*m**2 - m - 1. Let d(k) = -w(k) - x(k). Does 34 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2711, 20471, 68337, 161363, 314603, 543111?\nAnswer: 861941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**2\/13 + 835248*t\/13 = 0?\nAnswer: 0, 417624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 5) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:34 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/189*5719\/129.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6749 - 6463.1. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 505 - 577 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - 22220032?\nAnswer: -22220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 + -1101000100101111?\nAnswer: -1101000101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 2 y when four letters picked without replacement from tykxfuy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 5*f - 14, f + 12 = -2*y - 4*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1354014 + -1?\nAnswer: 1354013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 8*m + 8. What is z(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-2)*2*13. Let w = 133 + t. Round w to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73459.53 litres in millilitres?\nAnswer: 73459530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 214813422 and 1182.\nAnswer: 214814604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -1\/680, 2, 0.13, 1\/4, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 118\/(-6608)*36\/3\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9697 is divided by 103.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15728197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2641 - 1850. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 - 855*p - 2610 = 0. What is p?\nAnswer: -3, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613 - 307 - 308 + 646*h.\nAnswer: 646*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2\/5 (b) 23.01 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148145*n**6 + 210908*n**2.\nAnswer: 17777400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*o - 9. Suppose -8 = -o*u + u. Let m(x) = 2*x - 1. Let j be m(u). Solve -4 + 13 = j*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/5 + 432617756*m\/5 + 23394765350809442\/5 = 0 for m.\nAnswer: -108154439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + (5 - 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -4.2. Let i = -2 - c. Sort -0.2, i, 2\/7.\nAnswer: -0.2, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/(26\/(-39))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:31 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 9. Let n be u(0). Let b(l) = n*l - 15*l - 2 + 14 + 2. Is 23 a factor of b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438321380?\nAnswer: 2, 5, 7, 199, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 92 = -248. What is the second derivative of -6*n + 2*n**4 + 18*n + n**2 - n**2 - o*n**3 wrt n?\nAnswer: 24*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(-1)*27\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/14*(0 + 6). Suppose 0 = -4*n + 5 + j. What is the second derivative of 33*x**3 - 3*x**n - 9*x + 3*x**2 - 36*x**3 wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -2\/7, -22, 161.\nAnswer: -22, -2\/7, 5, 12, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.775886?\nAnswer: 0.0775886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0859771t in milligrams?\nAnswer: 85977100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*f + 2514, -102*g + 3*f - 3149 = -107*g. Let a = g - 611. What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9160.791 millennia?\nAnswer: 91607.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + -2)*3\/(-9). What is the first derivative of -2*z**2 + 6*z**3 - 8 + 2*z**v + 17 wrt z?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c, -2*m = -2*c - 0*c - 4. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135800000 to the nearest one million.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 85*p + 431036 = 43*p. What is p rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.95 rounded to 0 decimal places?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -269 (base 14) to base 16.\nAnswer: -1e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 5*w - 1. Suppose -3*q = -2*q - 26. Suppose -5*j + 6 - q = 0. Give c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/(b**(-2\/7)*b))\/b)\/b)\/b**(-2\/11)*(b*(b\/(b**(-8)*b))\/b)\/(b*b*(b**(-2)*b)\/b))**(-5))**32 assuming b is positive.\nAnswer: b**(-79680\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20131044 - 1105?\nAnswer: 20125535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3 (b) 26.5 (c) 1\/4 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -6d34?\nAnswer: -6d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40085339, -40085338, -40085337, -40085336, -40085335?\nAnswer: -40085334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*a + 15, 0*a + a - 4 = -q. Let l = 7 - q. Find the second derivative of l*z**2 + 4*z**3 - 8*z**2 - z wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let s(v) be the third derivative of v**4\/8 + 2*v**3 + 10*v**2 + 2*v. What is s(x(d))?\nAnswer: -6*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let a(v) = -409526*v - 2. Determine a(n(d)).\nAnswer: -819052*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/60 - p**2. Suppose 2 = 2*v - 18. Let k(l) = -5*l**2 + 10 - v. Give k(g(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82773 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/900)\/(9\/25)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 42942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - c**2 - 13*c + 3. Suppose -8*o = -12*o + 8. Let u(i) = i**3 - i**2 - 6*i + 1. Let a(g) = o*z(g) - 5*u(g). Determine a(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 t, and 1 b when four letters picked without replacement from ttbqqtqqtbt.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12590*l**2 - 2. Let x(t) = 2664*t**2. Give f(x(k)).\nAnswer: 89349920640*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 2*y + 22. Suppose 0 = -3*d + 4*s + 20, -4*s - 20 = 0. Does 5 divide t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 2*h - 13. Let j = -46 - -40. Let q(y) = 3*y**2 + 6*y + 37. Let s(u) = j*q(u) - 17*v(u). Let p(l) = l**2 - 8*l + 9. Let k be p(6). Give s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**3\/3 - 8*j**2 + 5*j + 4\/3 = 0.\nAnswer: -1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:30 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 9*r**2 - r - 3. Let s be b(-9). Suppose -15 = 3*g - s*g. Solve g*c + 11 = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -77. Let h = l - 113\/3. Factor 0*o + h - 1\/3*o**2.\nAnswer: -(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 66*f + 5 + 22883*f**2 - 11444*f**2 + 282*f - 11442*f**2.\nAnswer: -3*f**2 + 216*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3505? (a) 6 (b) -1 (c) -5 (d) -5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (270\/180)\/((-18)\/(-4)). Solve -1\/3*v**4 + s*v**2 + 0 - 1\/3*v + 1\/3*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 137 + -123 - (-5 - (4 + 1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.09, -5, 1, -2.3 in decreasing order.\nAnswer: 8, 1, -0.09, -2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*q + 15 = 0, 11*z + 1 = 9*z - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/4)\/(-10))\/(5\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 4*f**2 - 441. Let i(a) = -5*a - 4*a**2 + 5*a + 3*a**2. Determine n(i(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3450 and 19\/17825.\nAnswer: 106950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672 and 152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112355126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/4)\/(1 + 0)*1523\/68535. Which is the third biggest value? (a) 5 (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - a**4 - 6*a)*((1 - 4 + 1)*(-1 - 2 + 2) + 3 - 3 - 2 + 3 - 4 + 6).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1008)\/(-3) - (-54)\/(-9). Calculate the greatest common factor of 3410 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 3*k + 104 = 0. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - 88*o**2 - 77*o + 80. What is the ten thousands digit of x(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/5))\/k*k*k\/(k\/k**6)*(k*k*k**(2\/3))**(3\/13))**6)**(1\/10) assuming k is positive.\nAnswer: k**(1407\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u + 1. Let g(i) be the first derivative of 7*i**3\/3 + 3*i**2\/2 + 7*i - 15. Calculate -5*d(h) + g(h).\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(200)*-2 + sqrt(200) + 3 - (sqrt(4)\/sqrt(2) + 4 - (-4 + sqrt(242))))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -12*(3 + 2)*9\/(-18) and (-66)\/(-2)*(-2 + 3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11504 to the nearest one hundred.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -17.3. What is h rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23321 by 1.\nAnswer: -23321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/7 in 0.08, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 4. Let m(d) be the third derivative of d**4\/24 + 2*d**3\/3 + 14*d**2 - 3*d - 18. Determine 6*l(c) + 5*m(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(18\/5)\/(i**(-1\/16)\/(((i*i*i*(((i*i*i*i**(-13))\/i)\/i*i)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-2027\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3836, -16124, -36760, -65744, -103076, -148756, -202784?\n\"Answer: -4174*u**2 + 234*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*s + 30, 235*s - 3219 = 2*w - 2054 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)\/l**0*(l**1)**25)**1 assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*k + k + k + 0*k + (-3*k - 3 + 3)*(1 + 1 - 1) - 2 + 2 - k - 30 - 11*k + 30 - k + 2*k + 0*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 5*y**3 - 2*y)*(4 - 4 + 2*y + (0*y + y + 0*y)*(-4 + 0 + 2) - 4*y + y - 4*y).\nAnswer: -35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 4*p)*(0*p + p + 0*p)*(-p**2 + 6*p**2 - 4*p**2).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + 5*p)*(0 + 3 + 0) + 4 + 0*p - 2 - 2*p.\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/33, -4\/3, 1.4, -2, 23?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/16 and (4 + 2 + 23)\/(11 - 2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -64, -3, -214 in increasing order.\nAnswer: -214, -64, -3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906 at least -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4767*p - 23088 + 19854 - 92106 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -177.6 (b) -4 (c) 2\/21 (d) 1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + y + 22, 200 = -3*q - 6*y + 119 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8265415?\nAnswer: 8265408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 24 = 2*r. Let n be 4*6\/r + 0. Solve -2*u = n*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 383 in 0, 0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114395383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-2) - -7)\/2. Let p = 2 + k. Suppose 5*j + 2*d = j + 2, 31 = 2*j - p*d. Solve -3*b + 0 = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135094 (base 10) to base 6.\nAnswer: 2521234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(144\/(-8))*0\/1. Solve -5*j - 15 = k, 8*z + 3*j = 3*z - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(63)\/sqrt(144)*-3 - (-4 + ((sqrt(112) + 1)*1)**2).\nAnswer: -105 - 35*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121011 - -1?\nAnswer: 121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22108043 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 623\nAnswer: 62.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 5. Let l be s(7). Let i(b) = -l*b - 7*b - 3*b + 3. Let u be i(-6). What is the greatest common factor of u and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -247, 7166, 19521, 36818, 59057, 86238, 118361?\n\"Answer: 2471*l**2 - 2718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -4*t - 5*j + 2*j, 0 = -t + 4*j - 21. Let w be (-4)\/14 - 732\/(-14). Let h = w + t. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/32 and -71\/1105736?\nAnswer: 4422944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 0*u - u**3 - 3*u + 2*u**4 + 0*u**4 + 2*u**2 - u + 1 to q*u**3 + r*u**2 + g*u + k*u**4 + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, b: 3, p: 5}. What is prob of picking 1 p and 3 k?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -251, 3, 5, -41, 1, -2 in decreasing order.\nAnswer: 5, 3, 1, -2, -3, -41, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 1, b: 3}. What is prob of sequence ulbl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -1.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4218 divided by -856\nAnswer: 2109\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -86486\nAnswer: 1210804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*q - 663 = 0, 0 = v - 255*q + 256*q - 213. What is the smallest common multiple of v and 1008?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 4152 + 2148 = 16*z + 108*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 5. Let n be t(5). Suppose n = -4*u + 39 - 11. Let q(o) = u + 3 - 10 - 30*o**2. Let y(i) = 2*i. What is q(y(s))?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 19 + 0*c - 7. Suppose 3*a + a = 32. Calculate the remainder when a is divided by h(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 2*r**4 + 7960*r**3 + 0*r**2 - 7969*r**3 + 1 - 2*r**2 in the form i*r + v*r**4 + o + d*r**2 + x*r**3 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1))\/(-4)*-4. Let d(h) = h**2 + h - 2. Let v be d(-3). Let t(a) = -a**3 + 3*a**2 + 4*a + 3. Let g be t(v). Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 8*z - 3. Suppose 5*c + 5 + 0 = -2*x, 4 = -4*c. Suppose x = y - 4*y - 18. Calculate o(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28718, 1, -4, -1 in increasing order.\nAnswer: -28718, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 + 3440*l**4 + 89285*l**3 + 30890*l**2 - 1429840*l - 1374880 = 0. What is l?\nAnswer: -661, -26, -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u. Let l(x) = 234*x - 58519. What is l(k(o))?\nAnswer: 2574*o - 58519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 52*y - 49831. What is w(197)?\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6, 6\/11, -1\/8, -1028?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1611283 + 2.161. Round b to 6 decimal places.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(1 + (-98)\/(-4)). Let k = j - -71. Suppose -k = -5*s, 2*v - 4*s + 3 = -1. Solve r + 2 - 7 = 0, v = f + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 4431?\nAnswer: -4502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -176.\nAnswer: 19\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 1\/3*m**3 + 4*m**2 + 0*m + 1\/60*m**5 + 0 - 7\/24*m**4. Let o = -399 + 402. Give f(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(528)*2 + sqrt(528) - sqrt(528)) + sqrt(528)))\/(sqrt(275)*2 + (sqrt(44)\/(sqrt(4) - sqrt(100)) - sqrt(11))).\nAnswer: 192*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 25*a**6\/3 - 124*a**5 - 127*a**4 + 1576*a**3\/3 - 275*a**2 + 52*a + 1676. Solve p(v) = 0 for v.\nAnswer: -2, 1\/5, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 83 - (-13 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.769*-539\nAnswer: 1492.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3057 (base 8) to base 3.\nAnswer: 2011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 8*u**2 + 1. Let a be f(-8). Let y(l) be the first derivative of -l**3\/3 + l**2\/2 + l + 1658. Let w(c) = c**3 - 2*c**2 + 1. Give a*y(x) - w(x).\nAnswer: -x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + (-46)\/92 - (-5 - -5). Which is the second biggest value? (a) -2 (b) -3\/2 (c) -3 (d) x (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 21, 52, 117, 228, 397, 636?\n\"Answer: 2*w**3 - w**2 - 2*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + -2.88. Let y = -2\/11729 - 11711\/105561. Let f = 0 + 1. Put i, y, f, 5\/3 in ascending order.\nAnswer: i, y, f, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17772217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -3\/7 (c) 0.49 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-8*t**3 + 8*t**3 - 4*t**4)*(0*t + 3*t - 2*t).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*(sqrt(99) - 1*sqrt(99)) - sqrt(99))\/((1*sqrt(72))\/sqrt(8)) + -2)**2.\nAnswer: 11 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2539655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 21 + 5*s**2 - 86*s**2 - 11*s**2 - 15*s**2 - 1 - s**2 + 1 + (0*s + s + s)*(2*s + s - s).\nAnswer: -104*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/11, -2, -5, 136, -1\/5 in descending order.\nAnswer: 136, 7\/11, -1\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 862, 854, 840, 820, 794?\n\"Answer: -3*y**2 + y + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215755 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -146241 minus 6079?\nAnswer: -152320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064182 to six decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*m - 232 = m, 2*b - 82 = 5*m. What is the highest common divisor of 92 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1.9, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7 + 3. Suppose 100 = 2*p + 2*s, -7*s = -i*s. Suppose 4*r = -m + p, 3*m - r - 334 = -2*m. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -700 - -687. Which is the third smallest value? (a) -0.5 (b) 3 (c) -2\/3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 86, 0.4, 22, 5, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*v + 210, v + 133 = 2*t + 6*v. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 8*l**2 - 9*l - 7. Let k be t(-7). Suppose -9 = -q - k. Suppose -78 = -q*m + 70. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14637 - -14646.319. Let q = o - -0.081. Round q to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 4*l**3 + 0*l**3 + (2*l**2 - 3*l**2 - l**2)*(5 - 1 - 2)*(2*l - 4*l + l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - -0.062.\nAnswer: 80.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128664591 to the power of 1\/2, to the nearest integer?\nAnswer: 11343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*t + 304. Suppose 8*g - 4*g = t. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205 + -213 + (-7 + 13 - -18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4444*j**3 - 18*j**2 + 13*j - 20198699.\nAnswer: -13332*j**2 - 36*j + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112045233 - -3?\nAnswer: -112045230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(144)\/(sqrt(8) + sqrt(72)))\/(sqrt(18)\/(sqrt(56)\/sqrt(7) + sqrt(8))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 3*q - 2. Suppose 6*p - 4 = 10*p. Let t be a(p). Solve 2*f + 2 - 4 = t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07306 and -3?\nAnswer: 0.21918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 6ecc?\nAnswer: 6ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8719, 17719, 26707, 35677, 44623?\n\"Answer: -v**3 + 9007*v - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c + 2. Let w be d(2). Is -1\/17 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 7\/10*h**5 + 3\/8*h**2 + 1\/2*h - 6 - 9\/8*h**4 - 4\/3*h**3 + 5\/8*h**6. Find g such that d(g) = 0.\nAnswer: -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (143 - 238) + (2 - (-2 + 3)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.033 - -13.967. Is b equal to -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2*n**3\/3 - 39. Let t(u) = 85*u**2. Calculate h(t(f)).\nAnswer: -14450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3592 and 848?\nAnswer: 380752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.8 - 8.3. Let f = -0.36 - -0.06. Let d be (-10)\/4*8\/(-50). Which is the third smallest value? (a) d (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let q be (-2)\/3 - 1\/g. Is q less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 7*r - 18. Let b be t(-9). Suppose b = -4*s + 64 - 16. Solve -5*f + 9 = -3*g - f, 4*g = 2*f - s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 32*s**3 + 2*s**2 + 39*s + 6. Let d(v) = 69*v**3 + 5*v**2 + 79*v + 13. Determine -6*d(m) + 13*k(m).\nAnswer: 2*m**3 - 4*m**2 + 33*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 4*x + 1. Let k(v) = -v**3 - 10*v**2 + 11*v + 6. Let z be k(-11). Suppose 5*r - 4 - z = 0. Suppose 5 = -r*a - 7. Give j(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + z**3 - z**3 + (-5 + 5 - 10*z**4)*(3 - 3 - 2) - 34*z**4 + 18*z**4 + 2*z + 12*z**4 - 47.\nAnswer: 19*z**4 + 2*z - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-1\/3)\/o*o*(o\/(o\/o**(-13)))\/o assuming o is positive.\nAnswer: o**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 - (-3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + -2 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216492 is divided by 138527?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/35 + 179\/140. Let s = -81 - -83. Let r = -1 + 1.4. Put s, r, g in ascending order.\nAnswer: r, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3133b1 (base 12) to base 9.\nAnswer: -1407287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*n**2 + 7564*n + 8534 = 0. What is n?\nAnswer: -251, -17\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.19 + 30. Let s = r + 0.29. Which is the closest to s? (a) 3 (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkm when three letters picked without replacement from {p: 1, k: 2, f: 1, m: 7, q: 7}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1865*t - 1869*t = -528. What is the highest common divisor of t and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -16. Calculate the lowest common multiple of -6*(q + (1 - 7)) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818839879 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 229*k**5 - 142*k**5 + 150*k**5 + (0*k + k - 3*k)*(-3*k**4 - 3*k + 3*k).\nAnswer: 243*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**5 + 1608*v**4 - 6672*v**3 - 71072*v**2 + 158208*v + 935424 = 0.\nAnswer: -406, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (9\/7 - (-11)\/(-11))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 80*u**2 - 152*u + 970. Calculate o(-82).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 33. Let c be (-1)\/1 - h\/((-64)\/121608). Round c to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -98*o**3 - o**2 - 11*o - 4. What is the units digit of d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1303 - -0.1303. Let b = -2.5 - -2. Let d = -2.3 + 2. Sort b, t, d.\nAnswer: b, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 19. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 4*q**2 - q - 4. Let n be t(-3). Let p(a) = 5*a**2 + 2*a + 3. Let y be p(-3). Let r = n + y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1917, -6717, -14717, -25917, -40317?\n\"Answer: -1600*c**2 - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from mkzzzfkmz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-3)\/(-7 + -2)*39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((2 - 2 - 0) + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - 9*g**2 - g**2)*(2 - 2 + 4*g) to z*g**2 + m + v*g**3 + b*g and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 16*g + 123 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i - 80*i + 27*i + 31*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 4*p. Let j(n) = 2*n + 5. Let r(q) = -q - 3. Let h(s) = 6*j(s) + 10*r(s). Give h(m(l)).\nAnswer: -2*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1390 - -1386 - (-23 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1396043 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 7*m + 2. Determine o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 663929*b**5 - 18*b**2 - 7755 wrt b?\nAnswer: 39835740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 39. Let x(a) = -5*a + 39. Let z(b) = 3*h(b) - 2*x(b). List the prime factors of z(0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - 4. Suppose 3*c - 4*c = 3*f - 3, 4 = -f - 2*c. Solve f*l - 1 = -g, 16 = -2*g + v*l + 3*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 - u - 3*u - 3*u**2 + 3*u**3 + 9*u**2 as a*u + k + x*u**3 + f*u**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16))\/((-24)\/(-16)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 7*h**3\/2 - h**2\/2 + 4*h. What is the tens digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0. Let d = g + -13.7. Let p = d + 14. What is the second smallest value in -5, p, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1)*-1*1. Suppose i - 9 = 3*m. Let x = 24 - 28. Sort m, 1, x in decreasing order.\nAnswer: 1, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a minute?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7 + 0*n - 2\/7*n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1559, 12609, 42745, 101555, 198627, 343549, 545909?\n\"Answer: 1598*n**3 - 45*n**2 - n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 314*w**2 - 6*w + 951. Let u be t(157). Solve -33 = -u*b - 33 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + 1 + sqrt(112))**2 + 1 + 5 + sqrt(112) + -1.\nAnswer: 148*sqrt(7) + 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159 - -17.49364605.\nAnswer: 176.49364605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 9*g + 15 = 4*z, -5*z + 2*g + 30 = -3*g + 16*g - 6*g for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 6\/((-6)\/(-5)). Suppose 4*x = -16, 0*q - 5*x - 10 = -2*q. Let d be -2 + q\/(y + 2). Solve -d*s + 1 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1054891, 2109862, 3164833?\n\"Answer: 1054971*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4*z - 2*c**3 + 8*c**2*z + c*z - 123*z wrt c?\nAnswer: -12*c**2*z - 12*c + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((-284)\/355)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 19*t + 158. Give q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from ddcdjeejdcdcdjedd.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 318\/(-45))*-6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*((sqrt(252) - (-1 + (sqrt(252) - (-1 + sqrt(252))) - sqrt(252)) - (sqrt(252) + -1 + 0)) + -5*(sqrt(252)*1 + 1)))**2.\nAnswer: 3072*sqrt(7) + 64764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 - 2*n**4 + 2*n**4)*((4 + 0 - 5)*(-4 + 5 - 3) + (3 - 3 + 3)*(5 - 1 + 10) - 2 - 1 + 0)*(0 - 3 + 4).\nAnswer: -82*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546529 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -5672?\nAnswer: -5676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (1\/(-3))\/(3\/(-63)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(4*f + f**3 - 4*f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*k**3*l - 191504*k**2*l - 4*k*l + 179459653*l with respect to k.\nAnswer: -51*k**2*l - 383008*k*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.3 times 0.0464?\nAnswer: -1.96272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63708, 63709, 63710?\nAnswer: 63711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19800 and 67320.\nAnswer: 336600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 15?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 256 - 1264. What is the common denominator of -29\/88 and 3 + (-1582)\/g + 7?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17209 - ((-6)\/5)\/(9\/(-60)).\nAnswer: 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5853540.69 rounded to the nearest 1000?\nAnswer: -5854000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 371*f**4\/12 + f**3\/6 + 732*f. Let q(c) = c**2. Calculate s(q(p)).\nAnswer: 371*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7250759 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3087 by 3.\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 - 100 = -3*g. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 13 (c) -16 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (8 + (-8 - 8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40421114 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2240.2 (b) -5 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + f + 53 - 63 = 0, 3*y + 20 = -f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a + 1280. Let i = a + -150. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p. Let q(a) = -a**3 - 4*a**2 - 2*a - 4. Let w be q(-4). What is the second derivative of p*d - d**3 + w*d - 2*d wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -26. Let r(u) = 2 - 1219*u**3 + 3*u**2 + 1 + 1216*u**3 + 3*u. Let z(m) = 14*m**3 - 16*m**2 - 16*m - 16. Determine x*r(d) - 3*z(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*i - 42 + 42)*(-3*i + 3 - 6 + 4).\nAnswer: -102*i**2 + 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kodsrao. What is prob of sequence oro?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/26)*f*f\/((f*f**(-7\/2))\/f) assuming f is positive.\nAnswer: f**(71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 41. What is a(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706*v**3 + 2 - 704*v**3 - 2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + 0 + (1 - 4). Let v = 36 - y. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - g - 5*g + (-6 + 1 - 2)*(-g - 2*g + 0*g) + 0*g - 2*g + 0*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 14, c: 4}. What is prob of picking 2 x?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(1 + sqrt(1539) + 4))**2.\nAnswer: 144*sqrt(19) + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1781*v**2 + 18. Let a(j) = -15*j. What is a(y(p))?\nAnswer: -26715*p**2 - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*r + 3*r + 5165 = 0, 3*x + 2*r - 3109 = 0. Suppose 3*i - 423 = 5*j + 198, 5*i - x = 2*j. Calculate the highest common divisor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1 - 6*f + 49*f + 0. Let g(k) = k**2 - 4*k - 3. Let d be g(5). Is r(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 23*o - o**3 - 7*o - 10*o - 6 - 8*o - 11*o**2. Give b(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/8 and 133 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06264, -0.2, 40134 in decreasing order.\nAnswer: 40134, -0.06264, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 12*d - 15. Let q be b(-12). Suppose -q = -2*v - v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2. Let r(i) = -1898*i. Determine g(r(k)).\nAnswer: -10807212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 2*a**2 - 3*a**2 - 5*a**2 + 8*a**2 + 2*a**2 + (a**2 - 3*a**2 + a**2)*(5 + 1 - 5) - 5*a**2 + 2*a**2 + 2*a**2 - 1 - a**2 + 1.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240 - 235. Suppose -4*d - 2*i - 87 = -k*d, 3*d - 273 = 3*i. Which is smaller: d or 97?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*m = -66*m + 5409. Let y = -596 - m. Solve 0 = y*g - 9*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-1\/2)*p*p\/(p\/p**(-19)) assuming p is positive.\nAnswer: p**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*w - 10 = 0, 3*w = -5*o - 6 - 11. Let m be (7206 + -6)\/(o\/450). What is m rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324519.\nAnswer: 7, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1355*d**3*h + 24832789*d**3*l - 1079*d**3 + d*h*l - 3*d*l + h*l + h + 21 wrt l?\nAnswer: 24832789*d**3 + d*h - 3*d + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -4. Suppose q = 4*o - o. Suppose 0 = -y + 1, f - o*f = 2*y - 30. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/108 and -25\/144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -p + 3. Let i = p + -51. Let x = -14 - i. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, q: 6, p: 1, u: 2}. Give prob of picking 1 u and 3 q.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.3 (b) 25183 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2b87 (base 16) to base 2\nAnswer: 10101110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, j: 6, d: 5, g: 4}. What is prob of sequence ggf?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 15*c = 4*b + 94, 3*c + 3*b - 186 = 0. Calculate the remainder when 2240 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.43 - -103. Round w to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*g - 143 + 143)*(-4 + 4 - 2*g) + (-g + 0*g + 2*g)*(39*g - 85*g + 8*g) to r*g**2 + d*g + o and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(36) - sqrt(36)))\/(2*sqrt(12)*-5 - sqrt(12)).\nAnswer: 6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnnnbnnnbbnbbnnnn. Give prob of sequence nbn.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, e: 2, p: 2, l: 2}. Give prob of sequence lpgp.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*l + 2334 = 6448 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 + 2*q + 2. Let p be ((-5)\/15*2)\/(8\/36). Let b = p + 1. Give f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) + (-3*sqrt(1331) + 4 - sqrt(1331)) - sqrt(1331)))**2.\nAnswer: -264*sqrt(11) + 11995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1135 and -0.06.\nAnswer: 1134.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fairihfiafihaahap. What is prob of picking 2 f and 1 i?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -860 (b) -0.4 (c) -4 (d) 2 (e) 0.4 (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -456.88 from 929.91.\nAnswer: 1386.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -121\/7?\nAnswer: -121\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3757 and 298792.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/(-336) - ((-1160)\/(-96) + -12)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.871255l?\nAnswer: 3871.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 e, 1 k, and 1 d when four letters picked without replacement from {e: 1, x: 5, d: 2, k: 1, t: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 14*q - 2*q**2 + 15*q + 18*q - 43*q - 2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 30255 = x, -p + 7886 = 3*x - 82895. What are the prime factors of x?\nAnswer: 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8413, 34, -104 in descending order.\nAnswer: 34, -104, -8413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30569336 divided by 3821167.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.16 (b) 0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 943*o + 818*o - 357*o - 116*o to s*o + h and give s.\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.959 - 1.757. Let p = 0.07 + -0.77. Let y = c - p. What is y rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 145 + 55 - 58)*(-4*t + t + t)*(-2 + 6 + 10).\nAnswer: 6776*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*u - 76*u = 0. Suppose -46*t + 61*t - 360 = u. What is the remainder when 140 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4 - 75*u**3 - 231*u**2 - 233*u - 78 = 0?\nAnswer: -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -13 - 27. Differentiate -7 + 13*a - 3*a + l + 3 with respect to a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 604*c**2 + 14296*c - 26144.\nAnswer: -4*(c - 19)*(c - 2)*(c + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10*m = 130. What is the greatest common factor of m and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15\/1742 + 167127\/12194. Factor -2\/7*q**3 - o*q - 128\/7 - 24\/7*q**2.\nAnswer: -2*(q + 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -189 - 54 + 446 + 2*n**3 + 2*n as w*n + g*n**2 + t*n**3 + y and give y.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 - 152696*r\/11.\nAnswer: -2*r*(r + 76348)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:38 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 95*j + 5 + j**2 - j**3 - 85*j - j**2. Let n be x(5). Suppose 5*o - n = 0, r - o = 3*r - 85. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-3*-2)\/(sqrt(729) - 1*(sqrt(729) - -3*sqrt(729))).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**6))\/(l*l**(-1\/20)*l))\/(l**(-2\/17))**48)**(-30) assuming l is positive.\nAnswer: l**(-9891\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*u - 9, 2*u = -0*u - 0*w + 5*w - 45 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Let r be (-8)\/24 - 1\/(-3). Let n = r + j. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1896902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18.8, -3, -5, 51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145359 and 27.\nAnswer: -3924693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -81856 + 81859 - 2*c - 10*c. Determine a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130679*l - 130637*l - 130478*l + 391985*l.\nAnswer: 191*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**2\/7 + 972*d\/7 + 2826\/7.\nAnswer: 2*(d + 3)*(5*d + 471)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 22*p - 1. Let w(r) = r - 3. Let d(y) = 26*y + 10. Let f(n) = -d(n) - 4*w(n). Let c(m) = -3*f(m) - 4*t(m). What is c(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 - -2)\/6*(0 - -70) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:24 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, t: 9}. What is prob of sequence vvt?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.851 + -27.089. Let a = r - 0.06. Let g = a + 31.0000068. Round g to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213\/155142*8*1\/14?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3456 by 3449.\nAnswer: -3456\/3449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142935620 is divided by 5338.\nAnswer: 5332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*n - 29. What is the highest common factor of 88 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*y**2 + 20*y**2 - 21*y**2 + 11*y**2.\nAnswer: 79*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -123*r + 687*r**2 + 3*r**5 + 610*r**2 + 207 + 54*r**4 + 120*r**3 - 1531*r**2 - 27 = 0.\nAnswer: -15, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 712, 1707, 3164, 5077, 7440, 10247?\nAnswer: 13492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0 + 11 + -4 + -10. Let t be 1*(1 - -4) + 0. Let m = 5 - t. Which is the nearest to -0.1? (a) n (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 41*r - 1. Let q = -7 - -10. Is t(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404.621 milligrams to kilograms.\nAnswer: 0.000404621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (2 - 10) + -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 - 46 - 46 - 47 + 5*o as k + m*o and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -1123.\nAnswer: -54\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2, a: 2}. What is prob of sequence iz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d47 - 5?\nAnswer: -17d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, g: 9, f: 2}. What is prob of sequence hf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**3 + 8*j**3 - 5*j**4 + 2 - 6*j**3 + 6*j**4 in the form l*j**3 + g*j**4 + i + m*j + p*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267.9 - -257. Let d = 42 + x. Round d to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 100.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7482 = 2*o + 4*z, 0 = -6*o + 2*o + 2*z + 14974. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4130*m - 2050*m - 2086*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39639.0225 + 39587. Let l = -0.0225 - p. Let b = -3 + 2.9. Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.09, 2\/15, 5, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3\/3 - 9. Let o(s) be the first derivative of 0*s - 13\/2*s**2 + 4. Determine o(p(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067*j = -2103*j + 252 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 10, r: 1, o: 8}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1823\/264 - 265\/24. Calculate the common denominator of p and 83\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27028 = -348*z + 814*z for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6930 and 27258?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**1*g\/g**(1\/2)*((g*g\/(g\/g**1))\/g)**2*g**(-6)*g*g*g\/g**7*(g\/((g\/g**(-1\/2))\/g))\/(g\/g**1) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33096, 132329, 297730, 529299, 827036?\nAnswer: 1190941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 1412, 4855, 11638, 22895, 39760, 63367, 94850?\nAnswer: 135343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87a - -1?\nAnswer: 87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n + 7 + 58 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 2*y - 3, -2*m = 2*y - 6 - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(38\/(-95))\/(4\/(-15))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/3120 and 121\/109460.\nAnswer: 1313520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 13. Let l be k(-15). Suppose l*y = 64*y. Solve -7*w + 14 = -3*w + 3*z, -2*z - 4 = y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -623 + 622.8. What is the third biggest value in -3, 0.4, -44, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(15\/4)*o)**(2\/59))**(-3\/7))**(-39))**17 assuming o is positive.\nAnswer: o**(37791\/826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240021 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9276, -9740, -10202, -10662, -11120, -11576, -12030?\n\"Answer: y**2 - 467*y - 8810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 510455.1 from -62894.\nAnswer: -573349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 1713 - 1 = 0. Find the common denominator of 97\/126 and (-13 + (-184)\/(-14))*k\/(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 339*d**2 - 2983*d + 4298. Give o(330).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93152620 and 3698?\nAnswer: 3698","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f. Let p be f - (-2 + 0\/3). Let l = 14 + -18. Sort p, 1\/2, l.\nAnswer: l, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + -16 + -280 + 286?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:02 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -33 + 122 + -63?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2196254 + 2196254 - 305*d.\nAnswer: -305*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36961b61 + 3?\nAnswer: -36961b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 204 = 4*p, -27 + 573 = 5*n - p. Suppose n = 4*z - 1130. What are the prime factors of z?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 5*f + 5*f)*(-15*f + 39*f + 2 - 2).\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0 + (1 + 1 + 0)*(-1 + 0 - 1))*(-4*y + 2*y + 3*y) as z + r*y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Suppose -9*n - 11 = -191. Suppose 2*r - o = -r - n, -35 = 2*r - 5*o. Sort -3, r, q in increasing order.\nAnswer: r, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) - (sqrt(931) + 2*sqrt(931))))**2*6.\nAnswer: 182400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 489?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 146032*u**2 - 146048*u**2 - 9*u.\nAnswer: -16*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/(f**(-18)\/f)*((((f**(-1\/11)\/f*f)\/f)\/f)\/f)\/(f**(-1\/24)\/f) assuming f is positive.\nAnswer: f**(4211\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r**2 + 2*r**2 - r**2)*(1 + 6 + 0)*(-4*r**2 + 4*r**2 + 4*r**2).\nAnswer: -308*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h + 6 - 6 - h)*(-3 + 5*h**2 + 3).\nAnswer: -55*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y. Let j(l) = -l**3 + 5*l**2 + 5*l - 13. Let u(f) = -j(f) - 3*o(f). Let n be u(8). Which is bigger: n or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-6)*(-21)\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 17 = j, 4041*j = 4042*j + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696172 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11767932 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -17. Let c(v) = 2*v**2 + v + 7. What are the prime factors of c(n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3 - 26606*f**2 - 2697113*f - 7851858 = 0.\nAnswer: -98, -3, 26707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 1, h: 1, u: 3, n: 2, p: 3}. Give prob of picking 1 u, 1 j, and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q**5\/9 + 920*q**4\/3 - 1236*q**3 - 137776*q**2\/9 + 99856*q\/3 = 0.\nAnswer: -6, 0, 2, 79\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 172450 (base 9) to base 7\nAnswer: 623244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 497\/35 + -14 - (-2)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Let q = s + 3. Solve 4*m = 3*t - 6 + 35, 2*t + 21 = q*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7 = -5*f, -n + 2*f = -0*f - 2. Let g = 70 - 53. Suppose -g*i + 45 = -22*i. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(12\/(-6))\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4694683474 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 14. Let m(f) = 2. Suppose 4*c + 5*o = -3, -5*c + 2*o - 21 + 9 = 0. Let d(a) = c*p(a) - 10*m(a). Give d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 29*d - 34. Let p(r) = -388 - 2*r + 388 - d*r. Let x(a) = 4*a. What is x(p(f))?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f + 2. Let c be n(3). Suppose -6 = c*l - 50. What is the remainder when 64 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/40 + 133*t**4\/144 + 31*t**3\/9 - 1457*t**2. Solve v(l) = 0.\nAnswer: -124\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11446\/12 - 140\/168. Let r = -481 + b. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187) + sqrt(187) + 4*sqrt(187))\/sqrt(11) - -3*sqrt(272))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162871 - 95214. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (15 - 27) - (28 + -43).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 5.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245))**2 + sqrt(5))*-3.\nAnswer: -738 + 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6 - 2. Suppose 0 = 4*u - 6*z + 2*z + 96, -102 = d*u + 2*z. Is u smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h**2 + 35*h + 124. Let c(u) = 33*u**2 + 87*u + 250. Calculate -2*c(a) + 5*j(a).\nAnswer: 14*a**2 + a + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1ed5c (base 15) to base 10\nAnswer: 100887","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + 2*g + 3*g - 6*g + g + (0 - 4 + 2)*(-3*g + 2*g + 2*g) - 5*g + 0*g + 13*g)*(-6*g**3 - 3*g**3 + 10*g**3).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4 = 0, 4*d = 5*c + 292 - 293 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*y - 0*y - 4, -4*z = 9*y + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + p - p)*(3*p - 14*p - p) + (1 + 2*p - 1)*(-1 + 2*p**4 + 1).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 7*q**2 + 3*q**2 + (3*q - 2*q + 5*q)*(2*q - 3*q + 0*q) + 0*q**2 - q**2 + 3*q**2 + 0 + 0 - 2*q**2 to j*q**2 + y + v*q and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 62 (c) 1\/66 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.323*-80.\nAnswer: -1785.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g + 7\/540*g**6 + 1\/30*g**5 + 0*g**3 + 1\/54*g**4 - 8*g**2 + 0. Suppose z(s) = 0. Calculate s.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 6*o + 8*o + 18, -3*o - 18 = -3*n. Suppose 2 = 3*m + 4*s, -5*s = -3*m + m - 37. Calculate the remainder when 6 is divided by m*1*(-1)\/n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25160, 25890, 26606, 27308, 27996?\n\"Answer: -7*p**2 + 751*p + 24416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let v = -5 - -6. Let c = -4\/3 + v. Put 2\/11, c, h in decreasing order.\nAnswer: h, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7092 to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9417*w**3 - 6*w**2 - w + 80. Let r be b(-4). What is r rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12312649 is divided by 5204?\nAnswer: 5189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 192841?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1449121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 13*l**2 - 2*l - 22. Let f be y(-13). Let p(a) be the second derivative of a**4\/12 - 4*a**3\/3 - a**2\/2 - 2*a. Determine p(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1677686603, -1677686593, -1677686569, -1677686525, -1677686455, -1677686353, -1677686213, -1677686029?\n\"Answer: c**3 + c**2 - 1677686605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149854196?\nAnswer: 2, 37463549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135825 - 135823. Suppose -4*o + o = -9. Solve -5*n = -5*i, 24 = o*n + x*i + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/6 and (-37)\/(-148) + (-241)\/(-1128)*-2?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**3 + 12*s**2 + 17*s + 28. Let p(z) = -5*z**3 + 13*z**2 + 17*z + 28. Let i(v) = -4*p(v) + 3*q(v). Give i(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150*(-28)\/1344)\/(-2 - -1) - 2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2428*w - 814*w - 806*w - 802*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 631150?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19621 and -553?\nAnswer: -10850413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-2\/19))*s)\/s**(1\/4)*(s\/s**(3\/2))\/(((s*s**7\/s)\/s)\/s*s)*(s**(1\/4)\/(s*s\/((s*(s*s\/(s**(-5)\/s))\/s*s)\/s)*s))**(-6\/11) assuming s is positive.\nAnswer: s**(-7289\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -7\/8, 1, 0.1, 262?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 109*w**2\/6 + 107*w\/6 - 1\/3 = 0.\nAnswer: -1, 2\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 9, 1, -9, -21, -35?\n\"Answer: -t**2 - 3*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 e, and 1 k when four letters picked without replacement from ikienidneenioi?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17883741, 35767488, 53651249, 71535030, 89418837?\n\"Answer: z**3 + z**2 + 17883737*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -29. Suppose 5*h - 155 - z = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25917?\nAnswer: 3, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/32)\/(10\/8). Suppose 62 = t*s - 3*w, 3*s - 175 = -3*w - 52. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5237 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 + 125. Calculate the smallest common multiple of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 + 2*w. Let t(p) = 3*p**3 - 2*p**2 + 1. Let h be t(1). What is the remainder when 34 is divided by m(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let o = 2046 - 2046. Put 0.05, o, h in increasing order.\nAnswer: h, o, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543146 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 637 and 1288?\nAnswer: 117208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:11 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182751?\nAnswer: 3, 60917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/4*(1 - 3). Let j(s) = -5*s + 12. Let f be j(-13). Calculate the greatest common divisor of f and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -2*l - 5*j, -4*j + 244 = -l + 5*l. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725, -723, -721, -719, -717?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(170)*-6 - 6*sqrt(170)*-3)\/(sqrt(20)\/(sqrt(2)*-2) + sqrt(10) - -3*sqrt(90)).\nAnswer: -12*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10260\/(-2660) + (-12)\/(-14). Put -165, -1, b, 3 in increasing order.\nAnswer: -165, b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 9*r. Suppose -3*a + 4*n - n = r, a = -4*n + 25. Let f(z) = 5*z - 3. What is f(a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40518*i + 27317360 - 7650*i - 27317360 to x + w*i and give w.\nAnswer: 32868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 10. Suppose j + 10 = r*j. Find b, given that -b**2 + j*b**3 - 4*b**3 - 3*b**2 - 2*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/4)\/r)**(-42)\/(r**(-2\/39)*r**4) assuming r is positive.\nAnswer: r**(8701\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v**2 + 4*v**3 + 13*v**2 - 27*v**2 to d + q*v**3 + y*v + w*v**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -31 + 66 + 2*z**2 - 35. Let r(s) = -12*s. Determine l(r(m)).\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + x**2 + 4*x + x**2 + 17*x as j + o*x + w*x**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10094758 is divided by 1240.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 - 61. Suppose -6*m + 3*b - y = -m, -m = b + 30. Is m greater than or equal to -61\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 13\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 - 6*f**2 + 4*f**2 to the form z*f**2 + y*f + s and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8669928631 - 0.3.\nAnswer: 8669928630.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/((-13)\/(-156))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1619, -3056, -4491, -5924, -7355, -8784, -10211?\n\"Answer: m**2 - 1440*m - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 13544860.\nAnswer: 40634580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10*(-75)\/2*16380\/(-7371)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 717*u - 720*u - 1036 + 1032 - 309*u**2 as z + x*u + p*u**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*3*(2 + -1). Let r(o) = -o**2 - 11*o + 2. Let u be r(-7). Suppose h = -4*h + u. What is the highest common factor of a and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 z when three letters picked without replacement from pzujzac?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1743 - -4994. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -834*s**2 - 346*s**2 + 1521*s**2 to the form z*s**2 + v + j*s and give z.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = -3*w - 4*a, 2*w + a = -a - 262. Let x = 164 + w. Let f = 15 + -11. What is the highest common divisor of x and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:05 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 69 = 510. What is the remainder when a is divided by (815\/163)\/((-30)\/(-306))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336008877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5117 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 15*m - 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(133\/2793).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -3*d**4\/2 + 23*d**3\/3 + 2068*d + 1517. What is the derivative of j(r) wrt r?\nAnswer: -18*r**2 + 46*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 275, 428, 577, 722?\n\"Answer: -2*i**2 + 163*i - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 7*1\/21*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Suppose -72 + 12 = -u*q. Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24439, 47139, 69839, 92539?\n\"Answer: 22700*t + 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4322 = 148*w - 2480 + 1178. Suppose -3*v = 3, v = 4*x - 4*v - 129. Which is bigger: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 942 - -9?\nAnswer: 94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/3 - 392*h\/3 + 1024 = 0. Calculate h.\nAnswer: 8, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -48*l**3 + 36*l. Let v(a) = -a**3 + a. Suppose 0 = 18*d + 6*d + 864. Give d*v(f) + r(f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 84942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -86\/162857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14399\/36 - -400. Let i(a) be the third derivative of 0 + 1\/180*a**6 + 0*a**3 + 1\/15*a**5 - 8\/105*a**7 + 0*a + 2\/63*a**8 + c*a**4 + 2*a**2. Factor i(l).\nAnswer: 2*l*(l - 1)**2*(4*l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -52.4, 472, -1?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - 2*g**3 - 2*g**2)*(-174*g + 247*g - 173*g)*(2 - 2 + 1) + g**4 - 6*g**4 + 3*g**4 as o*g**3 + l + i*g**2 + r*g**4 + b*g and give r.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -407, -1\/2, 2\/7, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-28))\/5*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 8*t**2 - 3*t - 9. Let v be 2*(39\/6 - 5). Suppose -21 = -3*i - 2*z, 2*z = 3*z + v. What is the tens digit of b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/21896 and 19\/1883056.\nAnswer: 1883056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1003 + 1001. Let i = -2 + 3. Let o be i\/(-4) - (-1)\/(-28). Which is bigger: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 10*w**2 + 3*w + 25. Calculate s(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2128271, -2128275, -2128281, -2128289?\n\"Answer: -r**2 - r - 2128269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 2 + 4 + u**5 + (-2*u**3 + 4*u**3 + 12*u**3)*(0*u**2 + 2*u**2 - u**2).\nAnswer: 13*u**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let l = 8 + -5. Let p be (5 - 0)*(l - 2). What is the closest to 1 in f, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62798, 62741, 62686, 62633, 62582, 62533?\nAnswer: 62486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594915, 1189864, 1784813, 2379762, 2974711?\nAnswer: 3569660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-12383)\/2030 - 6\/(-10)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.08 and 53.\nAnswer: 56.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229475, 229669, 229863, 230057, 230251?\nAnswer: 230445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.14 - 10.54. Let s = 2 - -14. What is the second biggest value in b, s, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148016, -5, -257 in ascending order.\nAnswer: -148016, -257, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.0508 + -0.1588. Let v = q + -2.8. Let u = -1.012 + v. What is u rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1945 = -5*l + 5*x, l - 398 = -5*x + 3*x. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = -5*h, 10*c + 5*h - 7 = 14*c. Let q be 1\/c - (-2 + 3\/(-2)). Let g(f) = -2*f**2 + 3*f - 3. Determine g(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (sqrt(8) - sqrt(40)\/(-1*sqrt(5)))\/(sqrt(24)\/sqrt(6)*2).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 31*a**2 - 5*a + 3. What is v(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 10\/(-12))*(70 - (132 + -68))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*s, -20 = 3*u - 2*u - 4*s. Let g(j) = -j + 10. Let r be g(3). Suppose r*w + 6 = 4*w. Sort u, 0, w in decreasing order.\nAnswer: 0, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/2, 0.7, 1\/3, -1.5, -14\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/455212?\nAnswer: -7\/455212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1675, -3351, -4995, -6607, -8187?\n\"Answer: 16*r**2 - 1724*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -17 - -27) + (9 - -2 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 13981*j. Let z(n) = -20*n**2. Determine h(z(o)).\nAnswer: 1200*o**4 + 279620*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50033 (base 8) to base 15.\nAnswer: 6122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1600)\/(-2) + (-2)\/1. Suppose 26*a = 37*a - 132. Suppose 6*c - a*c = -j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/70 - b**6\/10 + b**5\/20 + b**4\/2 + 77*b**2. Factor y(f).\nAnswer: -3*f*(f - 1)*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:36 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*9\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9670 - -13784. What is the greatest common factor of 34 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)\/n**5*n**9\/n**(-1\/2))**(38\/7) assuming n is positive.\nAnswer: n**(1615\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 653648503 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10*y - 120. Let x = 24 + y. Let w = 111 + -2329\/21. Is w < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5510906?\nAnswer: 2, 1093, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o**5 - 21435*o**4 - 57630*o**3 - 51155*o**2 - 14910*o = 0.\nAnswer: -426, -1, -7\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75130713349\/1100 + -68300664. Let k = -1\/1100 - f. Let w = 1659 + -9893\/6. Find the common denominator of k and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + 713\/(-69))*(-162)\/(-72)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13334468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 521051 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*u + 45, 4*a = -0*a - 4*u - 36. Calculate the remainder when 9\/a + 0 + 23 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7596691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 8 + 9 - 1 - 4 = -j, -3*j = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4 + 1. Let w(v) be the second derivative of 3*v**5\/20 + v**3\/6 - 5*v. What is the units digit of w(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 59.812.\nAnswer: 56.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 32*b + 1188 = 47*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus 136943?\nAnswer: 136942.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18975*h**4*w**2 - 235*h**4 - 2*h*w - 6*h + 181234*w**2 - 2*w wrt h.\nAnswer: 227700*h**2*w**2 - 2820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8104646 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 4*d**2 - 7\/40*d**6 - 1\/70*d**7 + 0*d + 0*d**3 + 0 - 9\/8*d**4 - 3\/4*d**5. Solve q(g) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:59 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 7*n + 5*h, 53*n - 48*n - 4*h = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2152 = -4*c, 4*q - 1076 = -2*c + 2*q. Is c >= 538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1581)\/(-465) - (-3 + 3)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y - 3*y + 0*y - 8 - 3*y. Let p(m) = 4*m + 5. Give -8*p(k) - 5*w(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3488 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (52\/3)\/4*690\/230?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-345)\/(-46))\/((-75)\/(-65)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 898*k - 1073*k + 4216*k in the form l + s*k and give s.\nAnswer: 4041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -3*k**2\/2 - 3*k + 9. Let i be (-1 + -5)*(-3)\/(-6). List the prime factors of p(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i. Let r(u) = -3*u**2 + 18*u + 169. Give c(r(q)).\nAnswer: -12*q**2 + 72*q + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2189*d = -2212*d + 46 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22991 + -20741. What is the highest common factor of 1375 and c?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14614710 by -3.\nAnswer: -4871570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 3)*-1 - -4. Let i(y) = -y**3 + 10*y**2 - 9*y + 3. Let k be i(9). Suppose -55 = k*r - 4*r. What is the greatest common factor of x and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7873, -28269, -61187, -106627?\nAnswer: -164589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16*a - a**2 + 5*a**2 + 105153 - 105121. Does 40 divide t(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -1835, -2742, -3595, -4376?\nAnswer: -5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4712 rounded to 1 decimal place?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m*n*s**4 + m*n - m*s**4 + 2*n*s**2 + 20*s**5 - 50*s**2 wrt s?\nAnswer: 72*m*n*s - 24*m*s + 1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1065566826 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2117076 (base 9) to base 4\nAnswer: 10110301200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*k**3 + k**2 + k + 4555?\nAnswer: 84*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -j + 5*j - h, -h - 22 = -2*j. Solve 4 - j = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 12 - 2 = 0, -2*z + u = 164. Let l be -3 - (4 + -6) - z. Let w(x) = x**2 + 2*x - 4. Let n be w(4). Calculate the highest common factor of n and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 27490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = b. What is the remainder when 76 + -3 + 6 + b is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 47. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 92.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(1\/4))\/k)\/(k\/k**12))\/(k**(-2\/47)*(k\/k**(-14\/3))\/k) assuming k is positive.\nAnswer: k**(4019\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/(-20) + 27984\/2915?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15093007 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w + 2*u + 25, -5*u = w - 40. Calculate the remainder when 67 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -4*h**3\/3 + 201. Suppose -b + 5*b - 8 = 0. Let j(q) = 5*q**b + 3 - 3. Calculate v(j(r)).\nAnswer: -100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 4*s - 27. Suppose -29 = -5*z - 9. Suppose -z*c + 27 = -c. What is the remainder when s is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1518*r**5 - 679*r**4 + 3*r**2 + 67*r - 2870 wrt r?\nAnswer: 91080*r**2 - 16296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8874 and 65\/16269?\nAnswer: 97614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.5557 years in millennia?\nAnswer: 0.0885557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-3) - 2) + 27. Suppose 2*o + b - 44 = 0, 2*o = 2*b + 11 + l. Let g = -8 + o. Calculate the remainder when 38 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 11*r - 50. Suppose 12*b - r - 38 = 0. Calculate the highest common factor of 6 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2 - 6. Calculate the common denominator of 49 and (-26)\/1*1\/z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100005 and 971235?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -376.5 - -377. Which is the biggest value? (a) 7 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.2 + -20. Let r = m - 0.6. Which is the smallest value? (a) r (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffzfffffzf. Give prob of picking 2 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - b**2 + 0)*(-3*b + 2*b + 0*b)*(12*b - 11*b + 38*b)*(2 + 0 - 4) to the form o*b**2 + y*b + i*b**3 + v*b**4 + h and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 18*v**2 + 60*v - 124. What is o(14)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 3 = -4*g. Let m = g + 37. Calculate the remainder when 47 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nynffffynfnnnfyyfynf. What is prob of sequence yy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) 1261.221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1450*l + 47*l - 2722*l - 1449*l - 2671*l as g*l + o and give g.\nAnswer: -5345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 8*p**2 + 4*p - 17*p**4 + 1 + 6*p + 8*p**2. Let h(s) = -8*s**4 + 8*s**2 + 4*s. Let d(v) = -9*h(v) + 4*i(v). What is g in d(g) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i. Suppose 2*c - 5*c + 9 = i. Suppose t - 24 = -c*t + 4*a, -5*t = 4*a - 30. Calculate the highest common factor of t and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990680 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 343*y**2 + 9*y - 138. Suppose 3 = -s + 5. Is j(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 41*i**2 + 0 + 3 as u*i + k + p*i**2 and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 179.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(-3*y + y + 0*y)*(6 - 2 - 2).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 + 20398*q**3\/3 + 48738554*q**2\/3 - 5643301402*q + 11221563660 = 0. What is q?\nAnswer: -5253, 2, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (-16 + 14 + -8 - -12 - 8)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413331 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k. Let c(o) = -302764*o. Calculate c(s(n)).\nAnswer: 605528*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.541 - -0.459. What is the nearest to -2\/5 in i, -3, -11\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7557 - 837*b - 7557 to q + s*b and give s.\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (2 + (sqrt(80)*-1 - sqrt(80) - sqrt(80) - sqrt(80)) - sqrt(80))))**2.\nAnswer: -5760*sqrt(5) + 72576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1) + -2 + 3. Suppose -u = -4*v + 13. Suppose 5*y = -g - 6 - 16, 0 = 2*g - v*y - 26. Solve 0 = 2*h - g*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 + 35*k**2 - 20*k - 84. Let b be r(-12). Calculate the highest common divisor of b and 3012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-2 + 9 + 304\/(-32))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o**2 + 132*o - 40 = 0 for o.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*4 + sqrt(190))*-5)\/(1*sqrt(90)))**2.\nAnswer: 11875\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-271)\/9 - (-4)\/36. Is 1001 + (15\/t - (-14)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330123312 (base 4) in base 8?\nAnswer: 1743366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**2 + 175*h + 77. Determine n(16).\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - 31. Solve 2*l = 2, -5*z + 4*l - f = -1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*0.0128\nAnswer: -0.001024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.37*0.1532781\nAnswer: 0.209990997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29885 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1011110101110111111001 (base 2) to base 7\nAnswer: 35246201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3547 is divided by 3260.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, w: 6}. What is prob of picking 1 w and 1 c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrz when three letters picked without replacement from {t: 1, l: 2, z: 3, r: 1, y: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-20) + (-28)\/(-70). What is the third biggest value in 4, 0.03, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21373.\nAnswer: 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97752114?\nAnswer: 2, 3, 31, 167, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/453194 and 35\/4?\nAnswer: 906388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-321)\/(-21) + (-2)\/7. Let b = -10 + y. Solve 0 = -3*c + b*a + 2 - 34, 4*a = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1665)\/(-108))\/((350\/(-80))\/(-7)))\/(20\/30)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*b + 71 - 11, 64 = 4*b - 4*h. Suppose 20*j - 241 = b. Let a be (-3 - -54) + (2 - 1). What is the highest common divisor of a and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**5\/45 - 7*v**4\/18 - 8*v**3\/27 + 4*v**2\/3 + 71. Factor u(r).\nAnswer: -2*r*(r - 1)*(r + 2)*(r + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + z. Let l be o(-2). Let p(d) = 81 - d**2 + 7*d + 77 - 166. Let y be p(l). Which is the nearest to y? (a) 0.1 (b) -0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73533169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-48)\/(-6)))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/35 in -2\/9, -0.5, -0.3, 1.42?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1636\/(-12) - 1\/(-3). What is w rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 584296 + -399519. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 11*f**2 + 7*f - 39. What is the remainder when 303 is divided by i(11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-51))\/((-54)\/(-162))*48\/(-16).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x + 4*r - 9972 + 10011 = 3*r, 0 = -3*x - 3*r - 117 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10652683 and 3421?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11*o**(-5))**(32\/7) assuming o is positive.\nAnswer: o**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/706933 and 2\/6061.\nAnswer: 7776263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81936 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-52 + 25940\/500)*(9 - -1)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/3 - 154*n**3\/3 - 13756*n**2\/3 - 175256*n\/3 + 526240 = 0.\nAnswer: -46, -26, 6, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 112*n - 2. Let q(v) be the third derivative of -v**5\/30 - 1498*v**2. Determine c(q(p)).\nAnswer: -224*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from oxydxxdxxxxxxdox.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 at least 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1787327 or 1787331?\nAnswer: 1787331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 23 + 10 = c + 23*z, 713 = -6*c - 2*z + 171 for c.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*r + 5. Let z(v) = -17*v**2 - 15*v + 5. Let p(b) = 35*b**2 + 30*b - 10. Let j(t) = r*p(t) + 5*z(t). What is w in j(w) = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784068\/3 - (46 + -33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -1 - (-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*p + 35279 = -935*p + 81897 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**6\/15 + 2*r**5\/25 - 10. Factor z(b).\nAnswer: 2*b**4*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(16)\/(sqrt(4) - sqrt(36)))*-1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4 = -4*k, -19*t = -22*t + 5*k + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6712419979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5223 + 4?\nAnswer: -5218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:54 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 35*h - 5. Let y be l(3). Suppose 392 = 2*z + y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let k(o) = -4*o**3 - 7*o - 8. Determine -k(j) + 5*l(j).\nAnswer: 4*j**3 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2205424*g*l**2 - 832799*l**2 + 1 wrt g?\nAnswer: -2205424*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -2*f**3\/3 + 7*f**2 + 7*f + 4. Let s be b(7). Is (-2)\/7 + 2151\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 52*d**2 - 885*d - 4950.\nAnswer: -(d + 15)**2*(d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 21 = -3*m, -10*m + 13*m = -3*c + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 92. Let f = t + -67. Suppose -d = -s - 3, 4*s + 12 = -d - f*d. Put -4, d, 1, 4 in decreasing order.\nAnswer: 4, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 191 and 6.946152?\nAnswer: 184.053848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6775*m + 6772*m - 8*y, -3*m = 4*y + 20 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, u: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.337095 rounded to two decimal places?\nAnswer: 51.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3297, 3299, 3301, 3303, 3305?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*z = 28. Sort 0, 1, z in decreasing order.\nAnswer: 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 43*n + 195 = -6*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 22. Suppose 2*v - v + 4 = 0, -u*v = -s + 35. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15729008 bigger than -15729008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150\/35 + 2\/(-7). Suppose 0*f - 38 = -n + f, u*n - 3*f - 150 = 0. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p*z**4 + 9527*p*z**2 - 362268*p wrt z.\nAnswer: -4*p*z**3 + 19054*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence add when three letters picked without replacement from {d: 4, a: 14}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98760 is divided by 4115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 7*s + 10. Let n be y(-8). Let o(v) = 0*v + 5 - n*v - 1. Let u be o(-3). What is the greatest common divisor of 100 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 + -17 - (13 - 2)) + 0 + 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*f**3 - 2468 - 37*f**3 + f - 87*f**3 + 2468 as x*f**3 + h*f + s + w*f**2 and give x.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3 + 0) + 9. Suppose -v = -4*d + 3. Suppose 2*a = -d*a + 25. Solve -1 + a = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -35033?\nAnswer: -35003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -214 - 642 + 881 + 86*h in the form b*h + j and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 12, 69, 192, 405?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(-2*j - 3*j + 3*j) + (2 + 3 - 4)*(-2*j + 0*j + 3*j) - 2*j + 13 - 13 in the form s + f*j and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*m + 12*m - 5*m + 49, 5*m + 8*m - w + 11 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 687316.51\nAnswer: -343658.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 123 - 30 + 5422*b + 7*b**2 - 5422*b in the form k*b**2 + y*b + i and give i.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 + 0.18. Let m = h - 0.14. Let a = 3 - 3.1. Sort m, a, 2 in descending order.\nAnswer: 2, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7759 - 7539. What is the least common multiple of 286 and a?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(-12\/5)*j*j*j)\/j)\/j)\/j)\/(j\/j**(4\/17))*(j*j*j*(j**(-2\/17)*j)\/j)**(-43) assuming j is positive.\nAnswer: j**(-10634\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1540753 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 68*k**2 - 24*k**2 - 21*k**2 - 22*k**2 - 3*k**3 + 6*k. Calculate the smallest common multiple of t(-2) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1116 and 620?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2847437\nAnswer: -6\/2847437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -65 + (-25 - -79) - (-58 + -1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 + -5. Let t = 310 - j. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/12)\/((-8)\/48). Let u(y) = -y**2. Let p(a) = -3*a**3 + 6*a**2. Determine g*p(q) + 6*u(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 4}. What is prob of picking 3 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.4 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, v: 10, l: 1}. What is prob of sequence lvii?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:12 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0566423 - -0.0166426. Let p = -0.04 - n. Round p to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + a = 8*w - 9772, -3*a = -4*w + 9764. Suppose 796 + w = 27*g. What is the greatest common divisor of 150 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:42 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -49 - 13*t**2 - 20*t + 6*t**2 + 8*t**2. Let d be b(23). Solve 2*j = -3*j + d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 5*a - 12 - 10)*(-a**3 + 0*a + 0*a).\nAnswer: 5*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -133272 divided by -3?\nAnswer: 44424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9528213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15892219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1430254 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -2.5 (c) 0.04 (d) 5 (e) -5\/4 (f) -0.3 (g) -2\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 477 - 473. Solve 4*y = -q + 4, 5*y + 12 - s = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 = 2. Let g(i) = -i**3 + 5*i**2 - 2*i - 6. Let v be g(4). Suppose 3*j - j - j**3 - 2*j**v - j**h + 2*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 + -155. Suppose 16 + 32 + 240*k - 12*k**5 - 5*k**3 + i*k**2 - 51*k**4 - 7*k**3 = 0. Calculate k.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.240405 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*0\/(-18). Put w, -5, -4, -49 in decreasing order.\nAnswer: w, -4, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -158 in 0.1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/832283 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -105 and -105 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 36510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*-3*(-30)\/27. What is the closest to -2 in x, 0, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Let n(r) = 3*r + 1. Let q(w) = -6*n(w) + 10*o(w). What is q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + 1 + (165 - 168).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1406.32km?\nAnswer: 1406320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {c: 3, w: 9, d: 2, e: 2}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -237.5 and -19.\nAnswer: -256.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(-3)*126\/(28 + -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 3*v**2 - 3*v - 3. Let l be h(-3). Suppose -9*s = -l*s. Let 0*i + 2\/7*i**5 - 2\/7*i**4 - 2\/7*i**3 + 2\/7*i**2 + s = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22912 and 9280?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*k + 41, 10*k + 39 = t + 5*k. Suppose u - 40 = -u. Calculate the smallest common multiple of t and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 277968 = 65297. List the prime factors of i.\nAnswer: 5, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.05, 41\/6, -3, -1.5, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a. Let p(u) = 66*u. What is p(g(i))?\nAnswer: -396*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 74*x + 9168. Let d be n(-122). Calculate the greatest common divisor of d and 1344.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2 + 82*r. Let c(b) = 15*b**2 + 245*b. What is 3*c(p) - 8*k(p)?\nAnswer: -3*p**2 + 79*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 3. Let b(u) = 563*u. Determine b(l(c)).\nAnswer: 563*c + 1689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 98. Let x = 187 - 194. Is x bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -8, -17\/4, -0.64.\nAnswer: -14, -8, -17\/4, -0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 345*y - 6. Let g(o) = -691*o + 14. Determine 5*d(h) + 2*g(h).\nAnswer: 343*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 21*b**2 + 5*b - 64. What is the remainder when m(21) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2996720 divided by -752.\nAnswer: -3985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, h: 1, v: 11}. Give prob of picking 2 y and 2 v.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 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: Expand (5*o - o - o)*(2*o - 5*o + 2*o) + (-4*o + o + 4*o)*(0 + 0 - 2*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + 0 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 1)*3\/(-2). Suppose o - 16 = 5*o. Let w = o - u. Let f(x) = -4*x. Calculate f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-1)\/(2\/(-6)). Let d be -2*f\/(-2) + 29. What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 - -6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 1. Suppose 4*n + 5*t = -0*t - 15, -3*t - 7 = 2*n. Let u(w) = 9*w - 3. Let h = -5 + 3. Calculate h*u(r) + n*y(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6864 rounded to one dp?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6843771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 34*y**2 + 58*y + 30. Let c be h(15). Put 2, c, 3, 4 in descending order.\nAnswer: 4, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -28*b**3 - 2*b**2 - b - 2. Let a be z(-2). Suppose 0 = -5*w + 124 + a. Let c = -41 - -58. What is the highest common factor of c and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/3 - 43046*t**2\/3 + 230821360*t\/3 + 8599421600\/3 = 0. What is t?\nAnswer: -37, 10780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 5*g - 19, 2*l - 55210*g + 55209*g - 5 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(114)\/sqrt(3))\/sqrt(2))**2 - 5*sqrt(209)\/(sqrt(22)\/sqrt(2)).\nAnswer: -5*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*c*f*g - 6259*c*f + c*g - 13*f*g wrt g.\nAnswer: 48*c*f + c - 13*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/592 and 3\/6508.\nAnswer: 963184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516837464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 404 = 22. What is the remainder when k is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 12:52 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92834*m**5 - 36*m**2 - 1616*m wrt m?\nAnswer: -5570040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -3, -1138670 in descending order.\nAnswer: 1\/9, -3, -1138670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1315064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/20 - 3*c**4\/4 + 7*c**3\/3 + 7*c**2 - 10581*c. Calculate r(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, v: 2, e: 7}. Give prob of sequence ee.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*q = -134*q + 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17069451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 + -144. Let t(l) = l. Determine t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310809*7\nAnswer: 2175663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8 - (-72)\/(-192)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-2)\/(4*(sqrt(2) - sqrt(50))).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3 - 11350*w**2 + 90435*w + 101790 = 0?\nAnswer: -1, 9, 2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -14250?\nAnswer: -14230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 127 = -5*n, -2*x - n + 28 = -48. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k - 268. Let u be a(0). Let y = 359134 + -3947528\/11. Let x = u + y. What is the closest to 2\/7 in 0.3, x, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 1. Let c(w) = -w**2 + 11*w + 11. Let p be c(12). Let r be u(p). Is -2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) + sqrt(20)\/(sqrt(4)*-3))**2 + sqrt(5) - (1 + (-1 + sqrt(5) - sqrt(5)) - (sqrt(20)\/sqrt(4) + 5)).\nAnswer: 2*sqrt(5) + 56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from vvvhdvdvvvdvvp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6126796?\nAnswer: 2, 13, 59, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.4 - -37. Let l = -32 + n. What is the third smallest value in 0.2, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 3. Let f(t) = 806 + t - 806. What is -2*f(o) - r(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 2, v: 10}. Give prob of sequence kvxv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 28*s - 4 - 2 + 6 + 2 to the form b*s + r and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let l be c(-5). Let x(g) = 32*g**3 - 2*g - 5. Let y(m) = -33*m**3 + m + 4. Let i(k) = l*y(k) - 3*x(k). Is i(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/5262?\nAnswer: -1\/5262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**14)\/w)**36 assuming w is positive.\nAnswer: w**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11227903133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-38)\/30 - (6 + 736\/(-96)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2190039 or -2190052?\nAnswer: -2190039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1520\/2496 - (-2)\/(-8). Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13725 and 1.5.\nAnswer: 20587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -236, -358, -480, -602?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 + 164.037. Let a = -0.03444 + f. What is a rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2793 and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, 112, -1 in descending order.\nAnswer: 112, 35, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 117506?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-9)\/2)*-2. Suppose -33 = -l*j - 4*g - 10, -3*g + 11 = j. Suppose 2*p - 4 = 4*f - 2*f, j*p + 5*f = 0. Which is bigger: p or 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80 + -4 + 1)\/(-1) + -3. Suppose -2*l = -7*l + k. Is (32\/l)\/(-4*(-1)\/1226) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7036*p - 1205 = 7277*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -0*s - 4*s + 5*x, 5*s - 34 = 2*x. Suppose -n + 4*o + s = -14, -5*n - 15 = 5*o. Differentiate r**2 - 5 + 6 + 2 - 3*r**n with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 35352075*d - 6*d**2 - 7*d**2 + 38*d**2 - 6*d**2 - 35352075*d - 7*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.2 - -37. Let j = 858.7309935 + -861.931. Let i = t - j. What is i rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34605846 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 13. Calculate the remainder when x(15) is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1187957797800 + 16\nAnswer: 1187957797816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 30025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4305887*v - 2539360 with respect to v.\nAnswer: 4305887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324851 is divided by 161148.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 86\/1459 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 0.5\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155723*y**3 - 155715*y**3 + 6*y - 6*y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0*v**3 + 0*v**2 - 47\/12*v**4 + 3\/20*v**5 - 14*v + 0. Find the third derivative of n(c) wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from eeevlveelllbjeej.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 6*u. Is 1\/7 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37632 and 4312?\nAnswer: 413952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0*y + 5*y**2 + y**2 + 2 - y + 1. Let v(i) = -13*i**2 + 3*i - 7. Let h(a) = -2416*a + 9661. Let b be h(4). Give b*v(s) - 7*d(s).\nAnswer: -3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/(-79*200\/782100)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -25.999999929. Round f to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40825 less than 40827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 200 = -655. Suppose 0 = -3*j - 21 + k. Suppose 4*c + 3*l = 34, -l - 44 = -5*c - 4*l. What is the highest common divisor of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = 11. Suppose -w*r + 212 = 2*r. Let a = -30 + r. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - z - 1, -4*n - 2*z = 2. Let y(u) = -u**2 - 12*u - 18. Let w be y(-10). Solve w*l + l = n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*sqrt(175) + -4 + sqrt(175) + -1 + sqrt(175))**2 + (sqrt(175) - (sqrt(175) + 2 + 3)) + (sqrt(175) - (-5 + -1*sqrt(175))))*-1.\nAnswer: -1624 + 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 321*f**2 + 5761*f + 5066. Calculate g(-338).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:05 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 8. Let u = z - -8. Suppose -3*s = -4*p - 48, 3*s - 51 = -0*s + 3*p. What is the remainder when s is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36 (b) 0.5 (c) 1 (d) 2\/3 (e) -2.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18821395 a multiple of 1285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.21 and 49?\nAnswer: 49.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 199 + 97 + 102.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 18078*u - 18106*u + 27, 3*d = -12*u - 21 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 6*o + 26*o - 6*o in the form i + h*o and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*q + 685 - 706 = 0, -4*q + 15 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:34 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29481, -29551, -29625, -29703, -29785?\n\"Answer: -2*l**2 - 64*l - 29415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 26 = 310 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 + -5 + 7 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, 907, 2994, 5927, 9712, 14355, 19862, 26239?\nAnswer: 33492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -41. Let q(m) = m**2 - 16*m + 31. Let k be q(x). Solve -3*g - k + 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.4 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(720) - ((-1 + sqrt(720))*6)**2) + sqrt(720) + sqrt(720) + 0 + 1 + -3) + -2 + 0.\nAnswer: -51908 + 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 279 in decreasing order.\nAnswer: 279, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 140, 569, 1684, 3827, 7340, 12565, 19844?\n\"Answer: 57*c**3 + c**2 + 27*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211\/1560 + 2\/195. Which is the biggest value? (a) u (b) 0.05 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -6 - -17 - (-14 + (-1 - -4))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -240.\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 149482108 or 149482111?\nAnswer: 149482111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5224 and 46363.\nAnswer: 370904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404617 is divided by 876?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.161 to one dp.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2 - (1 + -1)). Let j(w) = w**3 + 14*w**2 + 14*w + 18. Let z(v) = 2*v + 13. Let d be z(-13). Let p be j(d). Solve u = -x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m**2 + 17*m + 14. Let v(q) = -9*q**2 - 6*q - 5. Let w = 58 + -41. Calculate w*v(i) + 6*t(i).\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466441 is divided by 66633?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6922*j**3 + 748*j**2.\nAnswer: -41532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbf when three letters picked without replacement from bbbbffbfbbfbbbbbff.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*h**3 + 723*h**2 - 723*h**2 - 995*h**3.\nAnswer: -1152*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 4*z = 9*i + 4, 8*z - 20 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 + 44*b + 16. Calculate y(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 124 - 110 = 0. Suppose -2*a + 5*l = -1095, 0 = -3*a + 5*l + 755 + 890. List the prime factors of (h\/10)\/(22\/a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 103220330233?\nAnswer: -103220330232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 3*b**2 + 2*b + 7\/6*b**3 - 6 + 1\/12*b**4. Factor j(d).\nAnswer: (d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4145 + -2358. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:02 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - 6) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/33)*l*l*l**2)**(-2\/59)*(l**(2\/7)*l)**16\/((l*l**(2\/5)*l*l)\/l)**(-23) assuming l is positive.\nAnswer: l**(5151754\/68145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19158 and 18184284260.\nAnswer: 18184303418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.234 + 0.034. Let u = -2.4 + n. Round u to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 35*i - 49. Suppose 0 = -4*d + 8, -j + i*d = -4 - 34. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 c when four letters picked without replacement from iiiiiciiiiciccic?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -3*a**5\/10 + a**4\/6 + a**3\/2 - 3*a. Suppose 2*x + 2*x = -8. Calculate the remainder when g(x) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/70 - 1\/(-14)*10141058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2. Let d(a) = 914*a**2 + a - 29. Give d(z(i)).\nAnswer: 8226*i**4 - 3*i**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 o, and 1 i when four letters picked without replacement from ufffffuuououfiflff?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -22*v**3 - 9*v**2 - 24*v - 23. Let c(f) = 7*f**3 + 3*f**2 + 8*f + 8. Give -19*c(a) - 6*h(a).\nAnswer: -a**3 - 3*a**2 - 8*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/10136 - 63361\/111496. What is the common denominator of m and 2\/(-8)*303\/(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 12*p**3 + 3 + 29*p**3 - 2*p**3 - p**3 + 6*p**3 + (-3 - p**2 + 3)*(-5*p + 3*p + 3*p) + 5 - 5 - p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 27 = 2*t, t = 4*t - 2*x - 68. Let l = -27 + t. What are the prime factors of (-85 - (l - -1))\/((-2)\/2)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 15*z + 36. Let n(d) = -d. Let u(s) = g(s) - 6*n(s). Let w be u(-19). Which is the closest to w? (a) 2 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 + 4957*n = 0. What is n?\nAnswer: -9914, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77.6 and 6.71.\nAnswer: 520.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*a - 3442 = -32926 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -1246, -1870, -2494, -3118?\nAnswer: -3742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 810*t + 20989. Determine i(-26).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -38d0c3?\nAnswer: -38d0c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*(-208)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*n + n + 532, b + 430 = 4*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 23) + (-202 - -219)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42763?\nAnswer: 7, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5385 divided by -1077.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 116, -0.01, 7, 73?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/4 + 4455\/12 is divided by 359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millisecond in microseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - j**2 + 3*j**3 - j**3 - 10*j**2 as o*j**3 + y*j**2 + w*j + t and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 + 17*t**2\/2 + 91*t + 50. What is the units digit of z(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14352\/68172)\/(2\/95)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -5.4. Let z = 4095 - 4095.3. Let g = 1 + 1. Sort x, z, g in decreasing order.\nAnswer: g, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a58 (base 12) to base 14\nAnswer: 30d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 - 2*h - 6. Let g(x) = -x**2 + 1. Let q(b) = -4*g(b) - k(b). Let y be 45\/10 - (-9)\/(-6). What is q(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 3*x - 5*v + 469, -3*x + 3*v - 348 = 0. Let j = x + 111. Which is bigger: j or -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 13464903*u + 6*u**3 - 13464903*u + 6 to the form v*u**2 + c*u + z*u**3 + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x + 8. Let l be 2*-2*2\/2. Let u(n) = -n**2 - 6*n - 6. Let z be u(l). Suppose 3*p - 4 = -r, 0*p - 4 = -z*p - r. Give h(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128 - 31*f**2 + 128 + (0*f - 2*f - f)*(-3*f + 2*f - f) + (6*f + 3 - 3)*(-4*f + f + 5*f).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 14826488*n**2 - 13739061477360*n - 27478063648800.\nAnswer: -4*(n + 2)*(n + 1853310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025450?\nAnswer: 2, 5, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 + 69*u - 354. Let a be j(6). Let g be (-20)\/(-3)*(-24)\/(-5). Calculate the highest common divisor of a and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -56*q - 54*q + 12*q - 47 - 29 + 106*q**2. Differentiate g(h) with respect to h.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1508\/14 + 3 + 1. Let n = m - 1870\/21. Let o = -7963 - -63625\/8. Find the common denominator of n and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995129?\nAnswer: 3, 31, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 2*s**4 + 4*s**2)*(-s + 4*s - 7*s) - 72*s**5 + 77*s**5 + 0*s**2 - 3*s**2 + 1 - 1 + 2*s**5.\nAnswer: 15*s**5 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4 = 0, r - w = -2*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6942625.45238 + -6942683. Let r = m - -4.53942. Let s = r - -53. What is s rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33570157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593 is divided by 1123.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 85*u**3 - 530*u**2 + 1440*u - 1440.\nAnswer: -5*(u - 6)*(u - 4)**2*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*s, r = -s - 4*s - 14. Let w be 22\/3 - (-4)\/r. Suppose 63 = 5*b + 3. What is the highest common divisor of b and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by -5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -247239, -988913, -2225025, -3955575, -6180563, -8899989?\n\"Answer: -247219*l**2 - 17*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 10*v - 11. Let a be u(8). Suppose -5 = 5*p, a*p - 22 = -2*k - 9. Suppose -9 = -2*b + k. Calculate the highest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 8) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-1))\/(-4) + 4860 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -3*j + g, 3*g - 15 = 0. Suppose -11 + 3 = -j*n. Let m(f) = -2*f + 5 - f**n + 3 - 3. Give m(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**3 - g**2 + 3*g + 3. Let j be l(-2). Suppose 34*b = 193 + 317. What is the units digit of 9\/(j\/b + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1\/7)*z)*z*z*z**(1\/2))**38*((z*z**(2\/9))**0)**(12\/13) assuming z is positive.\nAnswer: z**(361\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 2*m - 5. What is the lowest common multiple of v(-7) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45103152 (base 7) in base 9?\nAnswer: 7304230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4758*b - 60281 + 7456 - 4271 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 353*s**2 + 8*s + 9. Let i(g) = 354*g**2 + 7*g + 8. Let t(w) = 3*i(w) - 2*r(w). What is the units digit of t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceci when four letters picked without replacement from {c: 11, e: 2, i: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-8\/5)\/g*g)*g\/((g\/(g\/g**(-5\/4)))\/g))\/(g**(-7\/6)\/g*g\/(g*g*g\/(g*g**(-1\/13)*g)*g)))**(-2\/57) assuming g is positive.\nAnswer: g**(-7093\/22230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(1800) + (sqrt(1800) - (sqrt(1800) + sqrt(1800) + 2 - sqrt(1800)))))**2.\nAnswer: -45100 + 3000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 9 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120628 times -0.3?\nAnswer: -36188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 7. Let h(b) = 2*b**2 - 3*b - 27. Let o(x) = h(x) + p(x). Let c be o(7). What is the highest common divisor of c and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 5607.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4, -8, -40 in descending order.\nAnswer: 4, -3, -4, -8, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 126. Let f = -81 + a. What is the second biggest value in -0.5, -1, f, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 3*f**2 - 4*f + 3. Let d be 114\/30 - 2\/(-10). Suppose -a + 2*a = -d. Does 3 divide j(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = -p + 4*p, 2*p = 3*m + 3. List the prime factors of (p\/(-9))\/((-4)\/(-102)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1363.1242 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4 + 2))\/(-1). Let q(g) = -71*g**3 - 2*g**2 + 1. Let j be q(v). Suppose 0 = 4*y - 2*d - j, 3*y - 19 - 36 = -d. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 7*i + 6*i. Which is greater: i or 81\/5?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**3 + z - 9\/2*z**2 + 0 + 1\/12*z**4. Let p(r) be the first derivative of a(r). What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let l = -301 - -425. Suppose -g*u - q = -6*q - l, -u + 31 = q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 + 9001 + 15*k**2 + 0*k**2 - 9001 to x*k**2 + b*k + r and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35550 and 1911168?\nAnswer: 47779200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -114614?\nAnswer: 16\/57307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -37. Suppose -2 - m = -5*a. Suppose -5*c - 1199985 = -3*c + 5*h, a*c + 2400006 = 2*h. What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100069960 + -745793108. Let w = -645723508.999831 - q. Let i = 361 + w. What is i rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*r - 3*r + 2*r - 5*r to the form j + d*r and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 712 or 710?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 30 = 5*f, 73*f - 4*s + 18 = 75*f. Solve f*q + 10 = v, 8*q - 2 = 6*q + 5*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3*3 + -3)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-10815)\/(-1339) - -32.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = r - 2*y, -5*r + 0 = -3*y - 14. What is the closest to r in -3, 1\/5, 1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - 5) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9920462mm?\nAnswer: 0.0000009920462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15142006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**4 + 2*y**3 + 5*y + 2. Let b(f) = 36*f**4 + 11*f**3 + 25*f + 11. Let t(q) = -2*b(q) + 11*l(q). Find the second derivative of t(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 739 = -3*h + 5178, -3*z = h - 1984. Calculate the remainder when h is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by 305?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let u be (-4 - v) + 4\/4. Let a = u - -9. Sort a, 2, -2.\nAnswer: -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(128)*1 + sqrt(128) - sqrt(128) - sqrt(24)\/((sqrt(120)\/sqrt(5))\/sqrt(2) + sqrt(12))) + 0)*4)**2.\nAnswer: 7688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/80113 or 0?\nAnswer: -12\/80113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380174 and 37754?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1764356 meters?\nAnswer: 176435600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 1. Let r be v(3). Suppose 31 + 119 = r*l. Suppose -3*n + 8 = -10. Calculate the greatest common divisor of l and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238385133 to the power of 1\/2, to the nearest integer?\nAnswer: 15440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/45 and 4\/195.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a - 2302*i + 2306*i - 630, -5*i - 300 = 5*a for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {n: 1, w: 1, j: 1, m: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19631336 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -w - 10*f + 6, -5*f = -10*w + 45 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 5*j + q, -3*q - 50 = j - q. Let o = j + 50. Solve 2*p - 5*l = p, -3*p + 4*l = o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105027 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-6 + 21 - 44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -830 (base 12) to base 14\nAnswer: -60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5707298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -238 - -251 - 3*3. Solve -h*a + 20 = 0, -4*w + 10 = -2*w + 4*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27813*l - 33195*l = -435942 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -231 + -6?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443542654 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/2, 0.2, 0.3, -0.071, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 1. Let i be n(1). Suppose -3*a - 8*k = -3*k - 224, 3*a = -i*k + 230. Suppose -5*p + 4*u + a = -21, 0 = -p - 5*u + 43. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 905 + -551. What are the prime factors of x?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5931183, -5931175, -5931167?\n\"Answer: 8*p - 5931191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*40*(-53)\/4770\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millisecond in microseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220 + -1?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + 3*sqrt(85)*-1)\/sqrt(5))**2*-4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49975*d**2 + 83543*d.\nAnswer: 99950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m**0\/m))))**(-20)\/(m**(-3\/5)\/m*m*m\/m**(2\/5)) assuming m is positive.\nAnswer: m**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16199, -75759, -175025, -313997, -492675, -711059, -969149?\nAnswer: -1266945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let v be (7 - 1885\/273)\/(1\/(-3)). Which is the closest to z? (a) v (b) 0 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 a factor of 3222342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1500)*274 - 5\/(-6).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)*n*n\/n**6*n*(n**2)**(4\/7) assuming n is positive.\nAnswer: n**(-157\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chx when three letters picked without replacement from {x: 7, c: 1, h: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = -0*t. Let z = -2 + 2. Suppose 4*g - t*g - 6 = z. Does g = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 12*y - 8*y + (y - y + 2*y)*(0 + 4 - 5) - 2*y + 0*y + 8*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (-2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or 0?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 121*y + 253 = -122*y, k + 3*y = -79. Which is greater: -86 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 - 3*t**4 - 3*t**3 - 9 + 7 + 4*t**4 - 2*t**2 in the form a + q*t**4 + x*t + d*t**3 + k*t**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t - 2. Suppose -w - 15 = -4*w. Let l(x) = 4*x - 1. Let g(p) = w*l(p) - 3*f(p). Let i(o) = o**3 + 3*o**2 + 2*o + 2. Let y be i(0). Calculate g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330266470.\nAnswer: 2, 5, 33026647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 106 + 40 - 33*i + 27.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = 4*k, -2*k + 5 = -3*v - 4*k. Let o be ((-9)\/(-54))\/(v\/(-4)). Which is the closest to -1? (a) -1\/5 (b) 2\/15 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -45*v**2 + 183369 + 63*v**2 - 183369. Let k(a) be the first derivative of -2*a**2 - 3. Calculate r(k(n)).\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/11))**(-19))**(-2\/61) assuming f is positive.\nAnswer: f**(76\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132454?\nAnswer: 2, 7, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 + -113. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46014 is divided by 11494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 - 932*x - 10002. Calculate w(-10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v\/(v**(-8\/3)*v))\/v))*v*v)\/(v\/(v\/(v\/(v\/v**(5\/4))))) assuming v is positive.\nAnswer: v**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvfpfufffxssu. What is prob of sequence ss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d**3 + 25 - 25)*(3 + 0 - 1 + (0 + 0 + 2)*(-1 + 2 + 0)) as k*d + a*d**2 + i*d**3 + v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-1 + -4 + 12 + -14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56680\/(-25506)*28\/(-10)*(-405)\/36*-1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 2*y + 6, -71*f + y = -70*f - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 400, 528, 706?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 23*r**2 + 26*r - 47. What is s(-24)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 57399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.12 + 2.19. Let z = y - 1.664. What is z rounded to two 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 gfgggfggggtgggygfjt. Give prob of sequence jt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:45 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 4*r**2 + 2. Let h be n(3). Let a = h + 102. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220844 is divided by 409.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4.1. Let t = 0.03972 - 0.03972. What is the closest to q in 5, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + k**2 - k**2)*(-k**2 - 5*k**2 + 4*k**2) - 4*k**5 + 5*k**5 - 3*k**5 + 1029*k**2 + 1031*k**2 - 2062*k**2 + 75*k**5 - k.\nAnswer: 71*k**5 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*n = -14, 4*n - 3 = 2*h + 9. Solve h*q + 5 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 178*x + 1264. Let c be q(-7). Solve c = -17*v + 20*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 52 = 2*g, -4*g = 5*h - 9*h - 136. Solve -g*r + 34*r + 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 118656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 140569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-16)\/(-6) + (-40)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4844 and -12.\nAnswer: 58128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -10022210?\nAnswer: -10022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25958000 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 739 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(3*sqrt(72)*-2 - sqrt(72)) + -5)*6*-1.\nAnswer: -1260*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) - (-3 - -2). Let i(x) = 9*x**2 - 2*x + 1. Let v be i(j). What is the units digit of v\/20 - (-36)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2828*q**2 - 14085*q - 268. Determine d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 12:58 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/7*77\/(-22) - -15. Solve 29*r - 36 = c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60998.57 less than 242898?\nAnswer: 181899.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/3141142 and 59\/174.\nAnswer: 273279354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -47.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4250 - (-132)\/(-96)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1701, -1702, -1703, -1704, -1705?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4718.4 (c) -2\/5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1274140.9 * 1.2.\nAnswer: 1528969.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**4 - 2*f**4 - f + 4*f**4 + 2*f**4 - 5*f**4 + 2*f**4 + (-5 - f + 5)*(4*f**2 - 4*f**2 + f**3) + f**4 - 3*f + 3*f.\nAnswer: 8*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -14*p + 61. Put -22, 3, p in increasing order.\nAnswer: -22, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*v + 1 + (2 - 1 + 0)*(3*v - 2*v + 0*v) + (1 + 2 - 1)*(-4 + 3*v + 4).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76c79 - -98?\nAnswer: -76bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 11*z**2 + 34*z**3 - 10 + 6*z**2 + 2*z**2 + 27 + 18*z.\nAnswer: 34*z**3 + 3*z**2 + 18*z + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 8*n**2 - 4 + 2*n**3 - 6*n + 0 + 15*n**2 - 12*n**2. Calculate d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*t = -84574, -84610 = -2*d + t + 4*t. Suppose d = 2*f + 5*x, -2*x + 101078 + 4649 = 5*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 10*y**2 - 11*y - 14. Let w be i(-11). What are the prime factors of 35\/2 + (-7)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -102.79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -483 - -483.2. Which is the nearest to 1? (a) -4\/3 (b) 43 (c) 0.1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2. Let p(h) = -24*h**2 - 55. Let k(w) = 3*b(w) + p(w). Differentiate k(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000434357 to 6 decimal places.\nAnswer: -0.000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*f + 11*f + 5*f**3 - 51 - 44 - 48 + 141 + 2*f**2 to the form v + c*f + k*f**2 + g*f**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 4. Let h(s) = s**2 - 3*s - 40. Let a be h(8). Suppose a = 4*r + 1 + 19. Let v(p) = 6*p + 7. What is r*m(n) - 3*v(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10056 divided by -3.\nAnswer: -3352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 10) to base 14\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2800 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90666416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-6 - 2) + 88 + -76.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 89. Let c be 72\/(-21) - -3 - d\/14. Suppose 2*j = -3*o + 54, -29 = -c*o + 3*j + 10. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -597 and -594 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h**2 - h)*(3 - 3 - 6)*(14*h + 490 - 490).\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 326.64\nAnswer: 816.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/6049072 and -13\/207160.\nAnswer: 30245360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 88, 162, 260, 382, 528, 698?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - y**3 + y - 2*y + (y - 2*y + 3*y + 1)*(-138*y**2 + 83*y**2 - 82*y**2).\nAnswer: -276*y**3 - 137*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3694 + -1822. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3 = -3*v, -v - 7*w + 157 = -0*v + 6*w + 8*w - 3*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17970 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c + 15. Suppose 4*i - 12 = -0*i. Suppose i*r - 7 = -u, 2*r + 5*u + 5 = -3*r. Solve 5*y = -c*v - 32, r*v + 20 = -v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/5 - f**3\/5 - 2*f**2 - 8*f\/5.\nAnswer: f*(f - 4)*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203a (base 13) in base 3?\nAnswer: -1200021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/2 + 163*t**3\/2 + 169*t**2\/2 - 823*t\/2 + 246 = 0. What is t?\nAnswer: -3, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 365550. Let d be r(0). Let g be 1*2*d\/60. Is g\/(-10)*(-3 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 + -3 - -2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -367.\nAnswer: 22\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-1 - 2)\/(-1). Let c = 40970997\/11 - 3724636. Factor -c*o**4 - 1\/11*o**2 + 2\/11 - 3\/11*o**p + 3\/11*o.\nAnswer: -(o - 1)*(o + 1)**2*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5, -2*a + 0*p + 1 = p. Let x be (144\/(-360))\/(a + (-14)\/10). Is x less than or equal to -2\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3100)\/(-105))\/(-10) + (-24)\/(-84). What is the fifth smallest value in d, -4, -19, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p + 15*p + 805200. What is p rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-21) - (-2 - 2)\/12. Suppose y = -r - 4*k - k + 309, 2*k - 901 = -3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in -2, -2\/9, 0, -68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = -5*v - 0, 9 = -4*u + 5*v. Let b(a) = 3*a - 13. What is the remainder when b(6) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 565*w**2 + 47*w - 385. Is z(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 19*k**2 - 18*k**2 - 174*k**3 + 142*k**3 in the form c*k**3 + m*k**2 + d + x*k and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwfwwqwwfwff. Give prob of sequence wwq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 132, 193?\n\"Answer: 61*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*a**2*p**2 - 2*a**2*p + 5*a*p**2 + 2*a - p**2 - 631*p wrt p.\nAnswer: 62*a**2 + 10*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 38*w + 9258. Calculate the remainder when f(-59) is divided by (-4)\/(-10) - 106\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 5) + 2 + 3. Let y(c) = 5*c**2 - 2*c - 2. What is the lowest common multiple of 4 and y(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 3201\nAnswer: -3201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0) + 1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(20))\/sqrt(12) - (sqrt(10)\/((2*sqrt(10))\/sqrt(5)))**2 - ((sqrt(5)*3 + 5 - (sqrt(180) + sqrt(20))\/sqrt(4)) + 1)**2.\nAnswer: -169\/4 + 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 587 = c + 679, -j + 248 = 5*c. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (272034\/28)\/(-127) + 87?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -8, 4.\nAnswer: -8, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/30888 and 127\/522288?\nAnswer: 5745168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3696810 and 476.542.\nAnswer: 3697286.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 10 = -10*y. Let w be y*(56\/70)\/(-1 + 3). What is v in 28*v**2 - 15*v**3 - 13*v**2 + 5*v**w + 85*v - 90*v = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 26 = -2*l - j, 4*l - 5*j = 64. Let g = l + -2. Is (-796)\/(-10) - g\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-11))\/((-36)\/66).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*q + 87 = 0, -2*q - 54 = 4*z + 14. Let k(u) = 4*u**2 - 23*u + 3. Let j(a) = -a**2 - 1. Let s(t) = z*j(t) + 5*k(t). Factor s(h).\nAnswer: 5*(h - 3)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -2. Let q = h - -4. Let m = -0.999992 - q. Round m to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 37 + 6*h + 73 in the form g + y*h and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24900379.\nAnswer: 7, 508171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 367412 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-2*15\/6. Let b(d) = -d**3 - 3*d**2 - 3*d - 2. Let i be b(j). Suppose -i = -3*l - 3*z, l - 4*z = 2*l - 36. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*y + 67*y**2 - 198*y**2 - 5.\nAnswer: -131*y**2 + 8*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20866 + -21089.46. Let g = -221 - c. Let v = 2.1 - g. What is v rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 8 + 3 - 5*f + (-f + 0 + 0)*(110 - 21 + 94) as w + c*f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 bigger than 1907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.78171 * -26.\nAnswer: -462.32446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40507, 80613, 120719, 160825?\nAnswer: 200931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -49, -95, -139?\n\"Answer: q**2 - 51*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -40*z + 6*z + 8*z + 30*z - 2*z. Let s(q) = -210*q**2. Let u(n) = -35*n**2. Let m(c) = -6*s(c) + 35*u(c). Determine m(x(w)).\nAnswer: 140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 15518085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, -2\/7, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174658609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.962 (b) 0.5 (c) 0 (d) 0.428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + ((sqrt(153) + -2)*-1)**2 + (1*(sqrt(153) + 0 - sqrt(153)))**2 + 2*1*sqrt(153)*-4.\nAnswer: -33*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 5}. Give prob of sequence wwu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(144)*-2))\/(6*sqrt(48)\/sqrt(4)*2) + 2.\nAnswer: -sqrt(2)\/144 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 3 - -6)*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*i + 2*i - 288. Solve i*s - 43 = -7 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/20*0 - -4. Let d be (y\/6)\/((-48)\/(-18)). Let x = -2\/161 - 153\/644. What is the closest to x in d, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 2898*z + 888691. Determine s(-1709).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28809006797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + 2.9. Put -4, k, 1\/2 in decreasing order.\nAnswer: k, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:27 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x + 84. Let v = x - 5. Solve 4*n - v = -0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -4. Let b = 0.01 - -0.09. Sort p, -1\/6, b.\nAnswer: p, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/390592 and -71\/18?\nAnswer: 3515328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7066619817380 and -2.\nAnswer: 7066619817378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/6) - -1. Suppose -h*p + 0 + 3 = 0. What is the nearest to p in 2\/9, 2, -1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2751*v**5\/5 - v**4\/2 + 433*v**3\/3 + v**2 - 2259. What is the third derivative of p(k) wrt k?\nAnswer: 66024*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20 = 2*a + 3*a, a = -w - 7. Suppose 2*h = n + 7, 3*n - 3*h + 18 = -n. Suppose -5*l - 4 = -19. Sort a, l, n in decreasing order.\nAnswer: l, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44782, -47454, -50126?\n\"Answer: -2672*f - 42110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:30 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 309*a + 8338. Calculate z(25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 1, -0.5, 4\/9, -761.06?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 0)\/((110\/(-4))\/11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 4 + sqrt(300)))**2 - ((sqrt(3) - (-2*sqrt(3)*-4 + sqrt(3)))*5 + 4)**2.\nAnswer: -4515 + 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2491 - 139 = 14*k. Suppose 0 = -6*l - 18*l + k. What is the smallest common multiple of l and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.967 + -0.033. Sort -2, h, -3 in descending order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 56 = 8. Let h = -59 + v. Let i = -20 - h. Solve -4*j + 3*d = -2*d + 21, i = -j + 3*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhqzzkrkkkbrk. Give prob of picking 1 b, 1 h, and 1 z.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + -1 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 1, f: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11515.354 and -54.\nAnswer: -621829.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or -68?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 27 = -7*u + 2*u, -4*u = 4*o. What is the biggest value in 2, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n + 4*l, -5*n + 0*l = 4*l - 20. Let h = -3 - -1. Let r be h - 1 - 140\/(-48). Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by -2 - (4\/(-4) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-5)*(3 + -13). Let a(x) = x**3 + 8*x**2 + 6*x + 7. Let y be a(o). Let q = -6 - y. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 268224 and 170688?\nAnswer: 1877568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 - 10*r**3 + 13\/3*r**4 + 4*r**2 + 4*r. Let z(k) = 0. What is k?\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(16)\/(sqrt(8) + (sqrt(40)*1)\/sqrt(5) + sqrt(8)) - (1*sqrt(128) + (-4*sqrt(8))**2))) + -2.\nAnswer: -374 - 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577905.06 rounded to the nearest ten thousand?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*t - 18 = 0, 0 = 3*b + 4*t - 5*t - 2. Let u be 4782*(-2)\/(-5896) - b. Let p = 63\/67 - u. Calculate the common denominator of -111\/14 and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235350541 (base 6) in base 15?\nAnswer: -5d228d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32 + -16 + 2 + -18. What is the closest to x in -1\/5, -10, -4, 3\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22467315 (base 8) in base 10?\nAnswer: 4878029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84013185 and 1935?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25414265.\nAnswer: 5, 31, 113, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 206. Let x be b(-40). Let w(u) = -3*u. Calculate w(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18215051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/((-1)\/2). Suppose -5*v - 1 = s*g, 3*g - 14 = -2*g + 4*v. Let p = -3 - -6. Solve -i = -k - 3, -g*k = -3*k + p*i - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddnirwvw. What is prob of sequence wd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j - 5040 = -73*j. Calculate the least common multiple of 64 and j.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(48) + 1 + sqrt(3) + -1)**2 - sqrt(30)\/(sqrt(10)*2*5))*3.\nAnswer: -603*sqrt(3)\/10 + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-30)*2*-5. Let a(w) = -30*w**2 - 3*w**3 + 20*w**2 - 4 + 13*w**2 - 4*w**3 + 6*w**3. Let p(b) = b**3 - 5*b**2 + 7. Determine r*p(f) + 5*a(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) - 3*sqrt(300)))\/sqrt(6))\/((sqrt(10)*-1 - sqrt(10))*5).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 17*r + 4*u - 20 = 0, -3*r = 3*u + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a + 1. Let b(z) be the first derivative of -z**3\/3 - z**2 + 2*z - 41. What is -3*b(w) + 5*y(w)?\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 84 = 4*v, -3*v + 37 = -5*l - 3. Let w(a) = a**2 + 4*a - 3. Let x be w(-4). Let s be (54\/(-15))\/(x\/v). Solve -1 = 5*m + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-588)*14)\/(((-10)\/(-14))\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -186 - -102. Let b = 83.99855 + q. Round b to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -40 + 24 - ((-1 - 0) + -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. Suppose -3*n + 5*n + 2*p - 174 = a, -3*p = 4*n - 350. What are the prime factors of n?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-8))\/5*16\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 3 + 2)*(3*o**2 - 2*o**2 + 0*o**2) - 2*o**2 - 2 + 2 + (0*o**2 + o**2 - 2*o**2)*(1 - 4 + 5))*(7*o - o - o) as f*o**3 + d + n*o**2 + h*o and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17172312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*(s*s\/(s**(2\/31)\/s))\/s)\/s)\/s)\/(s*s**(1\/9)))\/(s\/(s**(-11)*s)*s**17))**9 assuming s is positive.\nAnswer: s**(-7861\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4)\/(-3)*(-15)\/(-20). Let m = 5 - 4. What is the closest to j in -2, m, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14 + 489\/6. Let x = -41 + i. Let h = -4 + 18. What is the remainder when x is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 108 = -5*i. Let w be i\/(-9)*6\/4. Suppose 0 = x + x - 3*s - 67, w*x - 114 = 2*s. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 83688\/(-242)*42\/(-16). Let x = f - 908. Calculate the common denominator of x and 99\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3*h*r - 56*g**3*r**2 - g*h**2*r - 3*g*h*r**3 + 9*h**3*r**2 + 2*h**3 - 4*h**2 - 103*r wrt r.\nAnswer: -112*g**3 - 18*g*h*r + 18*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*r + 17525 = -189*r - 13279 + 10894 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.33, 0.3, 2, -1\/3?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -72. Suppose 0 = -y*c - 4*c + 4*s + 300, 5*s = -4*c + 273. What is the remainder when c is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34522.68 decades to centuries.\nAnswer: 3452.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 444814 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12988*i + 176585 = 618177 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kck. What is prob of sequence kc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/8 - -7\/24. Let u = -13 - -18. Which is the smallest value? (a) u (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0645847 to 5 decimal places.\nAnswer: -0.06458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 4*j - 21. Let v be a(-6). Let m(b) be the second derivative of 0 - 1\/6*b**v - 3*b - 4*b**2. Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6745*j - 9871*j + 172*j + 99*j + 1491*j to the form m + y*j and give y.\nAnswer: -14854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 8) to base 3.\nAnswer: 201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 43062.\nAnswer: 215310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 874194.53 rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.129 and 6122.5?\nAnswer: -789.8025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*i + 323*i + 1118*i + 338*i.\nAnswer: 2399*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0 - -20) + (63 - 71).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -30031231?\nAnswer: 30031300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a factor of 189503576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 135*q**2 + q. Let d(f) = -35*f. Let k(u) = -57*u. Let z(r) = 3*d(r) - 2*k(r). Determine n(z(b)).\nAnswer: 10935*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**2 + 5 - 5 + 11*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -183\/4. Which is the biggest value? (a) l (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -164\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 6*s + 1. Let g(y) = -6*y**2 + 11*y + 1. Let l = -4201 - -4197. Determine l*g(m) + 7*u(m).\nAnswer: 3*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 4*a**3\/3 + 6. Let x(t) = t**2. Calculate x(q(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98700 and 33180.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 6. Let g(w) = -3*w + 5. Let c(u) = -4*a(u) + 5*g(u). Let b be c(2). Suppose -l - 4*x = 6, b*l - 1 = -2*x + 1. Solve -2*d - 4 = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 26. Let s be ((-14)\/(-6))\/(c\/(-33)). Suppose 5*f = -0*f - 20. Let l(x) = 6*x**2 + 4*x - 4. Let w(y) = -11*y**2 - 7*y + 7. Give f*w(r) + s*l(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 567, 496, 425?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21265221 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/7 + 56914*h**2\/7 + 341422*h\/7 + 284510\/7 = 0.\nAnswer: -28451, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29229, 29204, 29179?\n\"Answer: -25*j + 29254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 5 - 1 + 9530*w.\nAnswer: 9530*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -19. Suppose 21 = k*w + 13. Solve -5*j = 20, -w*h = -4*j + 3*j - 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3 + 2386. Let q(v) = 143*v. Give q(g(i)).\nAnswer: -429*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 24. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256*j**2 + 50*j - 3?\nAnswer: -512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325255 is divided by 352.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46222 + -107?\nAnswer: 46115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + 0.56. Let s = 20 - 15. Suppose 0*k + 25 = s*k. Sort a, -2, k in decreasing order.\nAnswer: k, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -41. Let u(t) = t**2 + 5*t + 6. Let i be u(-5). Suppose r = -3*n + 9 - i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:44 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l - 283. Determine o(22).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555*n**2 + 17 - 49 + 20 + 598*n + 12 wrt n.\nAnswer: -1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 101*k - 4401. What is y(47)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 1713 = -840. Let c(p) = 8*p + 2. Let a be c(-3). Let x = b - a. List the prime factors of x.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74, -79, -98, -137, -202, -299?\n\"Answer: -v**3 - v**2 + 5*v - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 507, 995, 1483?\n\"Answer: 488*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 24*k + 3*k**2 - 3*k**3 + 19*k**2 + 8 - 6*k**3.\nAnswer: -2*(k - 2)*(k - 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + d = -31*l - 36, -3*d = 18. Suppose 3*s = -4*f + 16, -3*s = f - 2 - 2. Solve 5*n + 13 = -12, f*h = -2*n + l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11359)\/(-333) + -34)*27\/6*6\/15. Find i, given that s*i - 1\/5*i**3 - 13\/5*i**2 + 13\/5 = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 - 2652*s + 10611\/4.\nAnswer: -3*(s - 1)*(s + 3537)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.1546. Round h to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o*o)\/o*o*o\/(o**(2\/15)*o)*o**(-17\/2)\/o**48 assuming o is positive.\nAnswer: o**(-1549\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 2:16 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 159, 179, 209, 255, 323?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166.7 - 167. What is the smallest value in s, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -6. Let g(r) = -r - 13. Let n be g(k). Sort 3, 0, n.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, -2, -46, -5 in descending order.\nAnswer: -2, -3, -5, -15, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 197*p + 428. Is 7 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257894014?\nAnswer: 2, 7, 1171, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2484.93 minus -0.0115?\nAnswer: -2484.9185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*j - 38*j = 14504. Suppose -3396 = 257*g - j*g. List the prime factors of g.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 79 - (1294 - 1347)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*z = -13, -4*m + 7 = -9*m - z. Let k = -2.79 + 2.39. Which is the second biggest value? (a) k (b) m (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-2\/21)\/((((p**2*p)\/p*p)\/p)\/p*p)**47 assuming p is positive.\nAnswer: p**(-1976\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**3 - 16*g**2 - 7*g + 16. Let z(w) = 3*w**3 - 5*w**2 - 2*w + 5. What is 2*o(m) - 7*z(m)?\nAnswer: -m**3 + 3*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 2.22 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -12, -5*d = -5*l + 20 - 0. Suppose -2*x - 2*t = l, 5*t - 42 = 3*x - 2. Let b = -1 - -2. Put 7, b, x in increasing order.\nAnswer: x, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzt when three letters picked without replacement from {t: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 3*t + 3. Determine d(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 2*c**2 + 1. Let z(l) = l**2 - 18*l - 64. Let q be z(21). Let u be w(q). Which is smaller: u or 2\/249?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19*o**2 - 6*o + 7. Calculate the smallest common multiple of b(1) and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/12 and -89\/1596?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/5 - 54*t\/5 - 56\/5 = 0?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26951644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140\/6*35*-3. Let f = r + 48913\/20. What is the common denominator of f and (-23)\/(-8) + 0\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/58712 and 23\/44034.\nAnswer: 176136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 507 = -5*p - 1253, -2*x = 2*p - 862. What is the remainder when x is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0 - 3) + 9. Let a be (h - 3) + (-2 - -2). Suppose -8 + 0 = -a*p. What is the greatest common factor of 22 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 + -42)\/(-234))\/((-4)\/9)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 5:54 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 23 + 15 - 165*d**3 + 166*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnmnmsnnnhmmnhcs. What is prob of picking 2 m and 2 n?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 5*x**4\/6 - 2*x**3\/3 - x**2\/2 + x. Is b(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q - 0*q. Solve q*r = -0*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 + 0 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (7 + -11 + 19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 + 3065*m**2\/4 + 118525*m\/2 - 60030.\nAnswer: 5*(m - 1)*(m + 92)*(m + 522)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1336916467358 - 1336916304792.0000018. Let q = i + -162565.8. Let w = -0.2 + q. Round w to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 148) + (81 - 49 - -6)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -214)\/(17920\/(-3840)*(16\/(-28) - -1))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 + 2*r**3 - r**3)*(-2*r + 5*r + 0*r) in the form c + n*r + m*r**4 + z*r**2 + j*r**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(1152)*1).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3671 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10139 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 19 and -261.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) -46 (b) -5 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-1)\/2)*16. Let j be -12 - 4*6\/m. Is ((-126)\/j)\/(6\/30) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {m: 3, d: 2, k: 3, q: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12486 divided by 3\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/6 - 7*-1. Let i = 0 + y. Suppose -i*p - 192 = -2*p. What is p rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12030935 to the nearest integer?\nAnswer: 3469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 39184.82 tonnes?\nAnswer: 39184820000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 - 6 = 0. Put 1\/9, 4\/3, p, -0.2 in increasing order.\nAnswer: -0.2, 1\/9, 4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5686250137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 400*n - 1913. Let d be l(8). Is d <= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13468890 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63498237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880674.\nAnswer: 2, 3, 37, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:26 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6*-5.14.\nAnswer: 13.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 91 = 5*v, 9*v + 31 = 11*v + 3*f. Suppose -3*w + 1108 = -116. Calculate the lowest common multiple of v and w.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 107, -5, -3 in descending order.\nAnswer: 107, 26, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -4)*(-29)\/(-290). Let l(g) be the first derivative of -g**2\/2 - 2*g - 1. Determine l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52570, -52572, -52574, -52576, -52578?\nAnswer: -52580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-55) + 58\/10. Solve -p*y + 3*y + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*q - 19 = 0, 0*w + 2*q = 4*w - 14. Suppose -i = -5*f + 90, -6*i = -5*f - w*i + 85. What is the remainder when 69 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261638, 523271, 784904, 1046537?\nAnswer: 1308170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 28 - 11 = w, 3*w - 15 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -13\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:00 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529960.\nAnswer: 2, 3, 5, 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w + 127 - 28*w**3 - 157 + 3*w - 6*w**2. Let f(i) = -29*i**3 - 5*i**2 - 5*i - 29. Let a(k) = 6*f(k) - 5*j(k). Differentiate a(h) with respect to h.\nAnswer: -102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3055*y**2 + 264521*y - 264521*y as x*y + r*y**2 + d and give r.\nAnswer: -3055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -981 - -1237. Calculate the smallest common multiple of t and 160.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577.084 rounded to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -440 divided by 44\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065 is divided by 348?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2432 and -67\/1792.\nAnswer: 34048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/115245 and 37\/115245.\nAnswer: 115245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 + 2*y + 8. Let o be k(-6). What is the common denominator of ((-17)\/o - 4)\/((-2)\/(-164)) and -32\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -232427.\nAnswer: -125\/232427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229 = 39*d + 1424 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 514016 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0*c - 4*c)*(-11 - 3 + 2)*(-2 + 0 + 1) to t*c + p and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) - 1*sqrt(1323))\/(-3*sqrt(54)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 11350*q\/7 - 227800\/7.\nAnswer: 2*(q - 5695)*(q + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {v: 1, z: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0\/1) + 26. Let l = u + 243. Suppose -c = -h + 4*h - l, 3*h - 2*c - 281 = 0. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(2*x + x - 2*x)*(-15*x**2 - 10*x**2 - 10*x**2)*(-7*x - 52*x + 20*x).\nAnswer: 2730*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22642140 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468 + 156. Suppose -2*j - u = 778, -3*j - u = r + 542. Let p = -265 - j. Is p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 - i**3 + 4*i**3)*(-2*i - i + 2*i) + 14*i - 14*i + 11*i**4 in the form v + b*i**2 + r*i**4 + p*i**3 + o*i and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/4*-2)\/(3\/(-16)))\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - -0.13941. Let v = -0.4 - -0.398. Let x = j - v. Round x to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 129 + 2 + -6 + 0. Suppose -64 - b = -3*l. Let y = l - 50. Solve 0 = 5*t - 3*q + 34, q - y = 5*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9166.\nAnswer: 2, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57907621 rounded to the nearest one hundred thousand?\nAnswer: 57900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*((sqrt(1584) - (sqrt(1584) + -1)) + 4) + 4 + 5)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/15 and -28\/56793?\nAnswer: 283965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g**(-32)*g)\/(g*g*g\/(g**(-13)\/g)))\/(g**(3\/14)\/(g\/g**(-1\/5))))**(-23\/6) assuming g is positive.\nAnswer: g**(23621\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 21.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -572*o**5*u + 8*o**4*u**3 + o**2 - 21*o*u**3 + 5 wrt o?\nAnswer: -34320*o**2*u + 192*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.7706 times -351\nAnswer: 270.4806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 41. Let s(j) = j + 19. Let a(r) = 3*n(r) + 7*s(r). Let h(i) = i. Let c(x) = -3*x. Let k(g) = 3*c(g) + 7*h(g). What is k(a(w))?\nAnswer: -2*w - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*d + 18, 2*d = 5*v + d - 17. Suppose 2 = 3*p - 5*z, -4*p + v*z - 5*z = -46. Solve -p*w = -7*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6705182 and 15239050?\nAnswer: 167629550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.651 from 82.\nAnswer: 82.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22844573 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/((-1662)\/(-12465)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 2. Let j = 736 + -300. Let n = j - 423. What is the second biggest value in n, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 12*c**2 - 14*c + 36. Let t be z(11). Solve 0*k + 5*k + 21 = t*s, 0 = -k - 5*s + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151609 is divided by 37889.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2b64d00?\nAnswer: -2b64d03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1700636 divided by 4.\nAnswer: -425159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4521, 4437, 4295, 4095, 3837, 3521?\nAnswer: 3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149.732047 + 149.797. Let z = -0.065 + t. Round z to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*b + 33 = 19550 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53830\/(-59213))\/(-1*1\/33).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.46*-0.2.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Which is the nearest to -2? (a) 0 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 0.2 (b) 2\/13 (c) -7\/2 (d) 4\/5 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m\/(m**(1\/4)\/m))**(-5\/6) assuming m is positive.\nAnswer: m**(-47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163972201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = 3*f. Solve -5*q + 45 = 5*l + 15, -2*l + f = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = 2*g + 2, 0 = -3*z. Let n(k) = -k**3 - 4*k**2. Let i be n(-4). Let d = i + g. Let y(c) = -6*c + 1. Determine y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s - 2*m + 12, 31 = 3*s + 5*m. Suppose s*r = 3*h - 2002, 4*r - 3*r = h - 669. Suppose -d - 7*d + h = 0. What are the prime factors of d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30109 is divided by 29641.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27994321 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/5, 5\/2, 2, 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = 4*y - 2*r, 2*r = -2*y + 10. Suppose -o = y*o - 28. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/39 + (-4 - (-725)\/65).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 + 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7905)\/(-16275) - ((-2)\/(-10))\/1. What is the nearest to 439 in -0.3, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*2*sqrt(171)*-6 + 2 + sqrt(19) + -5 + (-4*(sqrt(19) + 2))**2 + -1.\nAnswer: -115*sqrt(19) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 0 + 3*n + 1\/2*n**3 - 5\/2*n**2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*q*w**3 - q*w**2 + 8*q*w + 2*q*y + 2*w**3 - 2*w**2*y - 21*w wrt w.\nAnswer: -60*q*w - 2*q + 12*w - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747016069, 747016067, 747016065?\nAnswer: 747016063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(175) + sqrt(175) - (sqrt(847) + -2).\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 11*a**2 - 111*a + 1207. Calculate q(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {x: 1, p: 1, s: 1, w: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14302, -14311, -14324, -14341, -14362, -14387, -14416?\nAnswer: -14449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 0. Suppose z = -2*o + 44 - 18. Calculate the remainder when 25 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:48 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(468) + -3*sqrt(468) + sqrt(468) + 5 + 5 + (sqrt(468) - (0 + sqrt(468))) + -4)**2 + 1.\nAnswer: -36*sqrt(13) + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2. Suppose 0 = -a + 7*a - 36. Suppose -2*u + 21 = 5*z, -3*u + 16 = 2*z - a*u. Let k(w) = -18*w + z*w + 14*w. Determine q(k(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1098774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31889 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 18 = 2*l, 65 = -w - 2*l + 62 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 4*d**3 + 5*d**2\/2 + 1. Let p(l) = 22*l**2 + 14*l**2 + 24*l**2 - 58*l**2. Determine p(n(x)).\nAnswer: 288*x**4 + 240*x**3 + 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - d - 2. Let g be k(2). Suppose g*f = 56 - 20. Suppose 3*c - f = t, -c + 2*t = c - 10. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**12))\/a)\/a)\/a**20 assuming a is positive.\nAnswer: a**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2822574*u**2. Let b(n) = -135*n + 1. Determine b(a(y)).\nAnswer: 381047490*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23321 + 20?\nAnswer: -23301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let i(t) be the first derivative of -7\/2*t**2 + 0*t**3 + 0*t - 3\/8*t**4 - 4. Let m(k) be the second derivative of i(k). Give s(m(v)).\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - (7 - 0)) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 + 409*a**3 + 5*a**2 - a + 4636 wrt a?\nAnswer: -12*a**2 + 2454*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30468 and 3636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015632868 to the power of 1\/2, to the nearest integer?\nAnswer: 31869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*h - 11, -2*x + 7 = 3*h - 4. Solve x + 7 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2*y)*(1 - 4 + 2) + 2*y - 5*y + 0*y)*(4 - 3 + 7).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1.52.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1695928 and -87\/9926?\nAnswer: 11871496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/((-120)\/(-1722)) + (-1)\/(-2). Suppose -16*o = 8*o - z. Let i(b) = -b + 3. Let y(k) = -4. What is o*i(r) + 5*y(r)?\nAnswer: -6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -14 (b) -0.8 (c) -1 (d) 3\/5 (e) -1\/2 (f) -0.1 (g) 1\/357\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2112 and 24464?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 4*r - 1035, 3*r + 3123 = 3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-5))\/(8\/(-20)). Suppose -z*w + 2*w = -39. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*n**4 - 7*n**3 - 26*n**4 - 18*n**4 - 2*n - 4*n**2 - 7*n**3 + 3*n**3 to r*n**2 + t*n**4 + v*n**3 + f*n + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 13*m - 22. Let w(s) be the first derivative of -4\/27*s**3 + 5 + 0*s**2 - 1\/18*s**m + 0*s. Factor w(o).\nAnswer: -2*o**2*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -186778?\nAnswer: 186783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Put 3, 0.6, g in decreasing order.\nAnswer: g, 3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 34. Let k = 90 + -29. Suppose -2*y + k = 2*y - c, c - 51 = -3*y. What is the smallest common multiple of y and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-19 + (-6 + 8 - -20)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/3 + 7*l**2\/2 + 4*l + 4. Let j be w(-6). Is -111*j*1\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 + 185. Suppose -h*p + 3*u + 43 = -326, p = 4*u + 192. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 946914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-3)\/((-12)\/(-4)). Solve 0 = 4*b - z - 3 - 8, y = b - 5*z + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.44 and -2.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-46125)\/2)\/(48\/(-10240)). Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**2 + b**5 - 6*b**2 + (0 + 0 - 2)*(7*b**5 - 7*b**5 + 7*b**5) + (0*b**3 + 0*b**3 + 2*b**3)*(3*b**2 - 3*b**2 - b**2).\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 72715111?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 485249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113472391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q + q**4)*(0 - 2 + 4) + (-4 - 1 + 3)*(-q**4 + 3*q**4 + 0*q**4) - 958 + 129*q**4 + 958 as a*q**4 + d + j*q + c*q**2 + v*q**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -3\/2, 4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3 - (-2)\/2). Let x = 0 - i. Let q = 760 + -755. Solve -4 + q = w, -2*k + 4*w = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091275 minus 26?\nAnswer: -26.091275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43897\/30, -0.3, 0?\nAnswer: -43897\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Factor -4*b - 5*b + 4*b + b**3 + g*b.\nAnswer: b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -833*f + 2344*f - 1513*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.44 or -0.2?\nAnswer: 2.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -47. Suppose 0 = -5*q - p - p - 60, -3*q - 36 = 3*p. Let a = o - q. 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 eighth root of 142 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 2. Let f(t) = 12*t**2 + 28*t + 1. Calculate d(i) + f(i).\nAnswer: 10*i**2 + 28*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = -a. Let w be 50\/5 - a\/1. Suppose 5*u = c + 3*u - 2, u = -c + w. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/(8 + 0). Which is the nearest to 0? (a) 0.2 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66 and -45?\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 18. Let x be o(11). Solve l = x*z - 4 + 25, 2*l - 30 = 5*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 3551*x**2\/2 + 64439*x - 2002980.\nAnswer: (x - 20)*(x + 57)*(x + 3514)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 124?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -290*y**2 - 3*y - 11. Let c(n) = -2*n**2 + n - 1. Let i be c(1). Let g be (i - 12\/2) + 2\/2. Let h be u(g). What is h rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -411 (c) 1\/3 (d) -0.3 (e) 0.65 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -62, -89, -116, -143?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-70)\/(-15)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/2)\/(-3)*6. Suppose 0 = 2*h + n - 5. Let m be (0 + h)*2\/(-5). What is the nearest to -1 in -3\/5, m, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936 by -468.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5000414, 5000495, 5000628, 5000813?\n\"Answer: 26*n**2 + 3*n + 5000385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.784275 and -5157.\nAnswer: -5156.215725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.5, -204, -432?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 5:02 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**3 + 22*n**3 + 2*n**2 - 21*n**3 to the form s*n**3 + z*n**2 + y*n + q and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 50840.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 7298256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let z = 79\/4 - 20. Suppose 120 = 5*d + q + 115, -2*d - q = -2. Which is the closest to d? (a) z (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**4\/4 - 3*v**3\/2 + 47*v**2. Let f be y(2). Solve f*h + 9 = 3*o, -3 = 5*o + h + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 37*f**2 + 272*f - 2. What is w(-27)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*h - 221*h - 11314 + 180 - 9221 for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.38 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 7:56 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Let r = -2647 - -2646. Which is the third biggest value? (a) -0.01 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3031 + 3031.5006. Let s = 0.56 - c. Round s to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-84)*-7*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -3)*-18 + -2. Suppose -3*o + 54 = 3*g, -o - 3*g = o - r. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3100 is divided by 171.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 572*u**3 + 12*u + 0*u + 22*u.\nAnswer: -572*u**3 + 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 11 - 0 - 0. Suppose -4*v = -5*o + 17, 0 = o + 3*o - v - 18. Suppose 2*y - 4 = -2*k - 2*y, -o*k + 5*y - 35 = 0. Sort k, -2, s.\nAnswer: k, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -33*g**4\/4 + 416*g. Let o(h) = 6*h**2. Calculate t(o(q)).\nAnswer: -3564*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11039820452277 plus -1?\nAnswer: 11039820452276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 163\/((-260800)\/1152) - (-6)\/10\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 578975 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*f - 211*f = 228*f - 495*f + 5916 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200.93 - -199.93. Put -8, -0.92, 4, z, -0.5 in increasing order.\nAnswer: -8, z, -0.92, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*h + 5*h. Let r = h + 0. Does 11 divide (7 - r) + 10 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1400\/23, -100, 3, -0.2 in descending order.\nAnswer: 1400\/23, 3, -0.2, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-3))\/(216\/(-1944)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380766820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -5.6 (b) 9 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822*u + 26 = 824*u + 2*o, 4*u + 2*o - 54 = 0. Solve -2*n - 10 = 4*i, -2*i + 29*n - u = 33*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1220815.73 from 4.\nAnswer: -1220811.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -2\/31, -1\/7, -1\/10, -2\/33, -2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**2 - 4 + n**2 - n - 14*n**2 + 2 + 1 + n**3. Let j(v) = -7*v**3 - 7*v**2 - 6*v - 3. Give j(u) - 5*l(u).\nAnswer: -12*u**3 - 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 30 = -20. Suppose -2*u - 27 = -3*o + 26, 5*u - g = -3*o. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 100 = -60. Suppose -1751 = -t*c + 1039. Is 41 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 9. Let w be d(-11). Suppose c + 2*c = w. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**3 + 16*h**3 - 9*h**3 - 5 + 6*h**2 - 9*h**3 - h**2. Let s(b) = -b**2 + 1. Calculate g(j) + 5*s(j).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111 (base 3) to base 16.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 5 + 1 + 16)*(-37*m + 6*m - 15*m).\nAnswer: -414*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/540*2). Let s = -130 - l. Calculate the smallest common multiple of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-2))\/((-3)\/(-9)). Suppose 3*t = 3*u - p, 5*u - 44 = 2*t - 9. Is 4 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3 + (-2)\/6 - 1849. Let p be s\/77*(0 + (-1)\/10). Factor -p*r**3 + 3*r**2 + 0 - 6\/5*r + 3\/5*r**4.\nAnswer: 3*r*(r - 2)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16124 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -10\/851 (b) 2\/19 (c) 5 (d) 9\/8 (e) 2\/147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1250 and -67\/375.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 25*y + 32*y. Let u(v) = -4258*v**2. Determine j(u(q)).\nAnswer: 4258*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/5 + 15119*u\/5 - 120888\/5 = 0. What is u?\nAnswer: 8, 15111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2256268 is divided by 205.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 - 8*z + 40. Determine m(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 147, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -9*g**5\/20 + g**4\/12 + g**3\/3 + g**2\/2 - g. Let l be z(-1). What is the greatest common factor of 63 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*((sqrt(396) + (2*sqrt(396))**2)*2 + sqrt(396)) - (1*sqrt(396)*2 + sqrt(396) + (sqrt(396)*-1)**2 + -1)) + 1).\nAnswer: -29710 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucf when three letters picked without replacement from xfruxoufuxufcru.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3 + 143004*d**2 + 482423*d wrt d.\nAnswer: -18*d + 286008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*a + 7 = -m, m = a + 4. Suppose -3*s + 1677 = 2*v - 6*s, 3*v + m*s = 2538. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j**(-1\/3))\/((j**3*j)\/(j\/((j\/j**(-2\/11))\/j))) assuming j is positive.\nAnswer: j**(82\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 1. What is the smallest common multiple of 4 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987861068?\nAnswer: 2, 246965267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 50 = 5*s, -2*s + 3*s + 22 = 2*a. Calculate the lowest common multiple of 5 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -359557.6 to the nearest one hundred.\nAnswer: -359600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -175, -262?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -240536 less than -0.063072?\nAnswer: 240535.936928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 6*v**2 + v**2 - 5*v**2. Suppose -4*z + 3 = 4*o - 9, -2*z = -4*o. Let f(i) = -i**2 + z*i**2 + 44 - 44. Determine h(f(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105580940.\nAnswer: 2, 5, 1669, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d**3)*(778 - 390 - 23997*d**2 - 388 - 44034*d**2).\nAnswer: -68031*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*l + 101*l - 63 = 206*l + 21*d - 227, 0 = d - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -815439, -3261735, -7338859, -13046781, -20385471, -29354899, -39955035, -52185849?\n\"Answer: 5*w**3 - 815444*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 135b - 42?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4941268*c + 144. Let k be p(-8). What is k rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10793 + 7159. Let q = v - -3310.4. What is q rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9890656189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.9598 meters in centimeters?\nAnswer: 6795.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 13*p - 4. What is the smallest common multiple of j(-3) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i - 75. Let z be d(8). Solve 3*s + 14 = 2*s + 3*h, s - 26 = -z*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 10 = -2*w + 2*w - 3*w + 3, -8*i - 10*w + 7 = 3*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*m - 13. Suppose -m*s + 42 = -5*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 785.8094 millilitres?\nAnswer: 0.7858094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 41 = 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) -7\/22 (b) -0.3 (c) -4\/3 (d) 1\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81551, 81540, 81515, 81470, 81399?\n\"Answer: -r**3 - r**2 - r + 81554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r. Suppose 2*f - 5*c = -6, r*c = c. Let g = f + 7. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**3 - 4. Let b(r) = -21*r**3 + 9. What is 4*b(v) + 9*y(v)?\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 359, 2915, 9853, 23363, 45635, 78859, 125225?\n\"Answer: 365*z**3 + z**2 - 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/19, 0.1, -3\/2, -0.3 in ascending order.\nAnswer: -3\/2, -0.3, -1\/19, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183156914 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19756591 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 410 = -2*c, -12*c - 3*n = -8*c - 846. What is the remainder when c is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -63. Let c = 21.9 - -0.1. Let m = c + -21.8. What is the nearest to m in 0.5, 4\/5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2260 or -4253?\nAnswer: -2260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + 3*a - 4*a + (9 - 9 - 3*a)*(1 + 0 + 1) - 2*a - a + 2*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 26*n**2 + 2*n - 3. Let p(i) = 29*i**2 + 3*i - 4. What is -5*p(y) + 6*x(y)?\nAnswer: 11*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2*m**2 - 8*m**2)*(-2 - 2 - 3).\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 45*r + 5169. What are the prime factors of a(0)?\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 11:56 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 411178 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 522*d**3 + 3531*d**2 - 3960*d - 8016.\nAnswer: 3*(d - 167)*(d - 4)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 10:38 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003079475 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + 1.97. Let h = j - 2.5. Let v be (4 - 10)\/(15\/4) + 1. Which is the second smallest value? (a) v (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 12, q: 3}. Give prob of picking 2 c.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -817, -849, -881?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28785 and 45315.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 27*c - 305. Calculate the smallest common multiple of k(-13) and 2\/5 - 216\/(-10).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4639*0.027\nAnswer: 125.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 18 = 2. Solve 2*o = -u*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6571 - -0.6571599. Round s to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**11*v*v)**(-3\/4) assuming v is positive.\nAnswer: v**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 17. Let l = -7 + p. Suppose 0 = y - 1, -3*i = -4*y + y - 42. What is the greatest common divisor of i and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(sqrt(441)*1 + sqrt(49))*-6)\/(6*(sqrt(175) - (sqrt(175) - sqrt(175)*1))*-5))**2.\nAnswer: 448\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - (8 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 4*q**2 - 6*q - 21. Let j be k(-4). Factor 10*v**4 + 40*v**2 + 2*v**j - 27*v**3 - 2*v**5 - 11*v**3 - 16*v + 4*v**4.\nAnswer: -2*v*(v - 2)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32.266 and -1.\nAnswer: -33.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2 + 5335. Let g(q) = -4*q**2 + 4*q - 284. Determine n(g(h)).\nAnswer: -8*h**2 + 8*h - 568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 11*u**2 + 5*u + 6. Let a be r(-11). Let n = a - -51. Factor 1\/3*l**3 + 7\/3*l + 5\/3*l**n + 1.\nAnswer: (l + 1)**2*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50919 is divided by 12729.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.2 + -61. What is the closest to -0.1 in g, -4\/9, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1026 + -28.01\nAnswer: -27.9074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.38883.\nAnswer: -0.77766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3032320 and 18540.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*(-3)\/(-30). Let t(u) = 4*u**2 - 78*u - 41. Let z be t(20). Suppose -8 - 2 = 5*l. Sort z, h, l.\nAnswer: l, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-15)\/36)*(-10)\/(-3). Solve k = -k - w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212983008 divided by -392?\nAnswer: 543324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by -106.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.06 (b) -1 (c) 12 (d) -0.83 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25484 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14\/15, -5\/32, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*(-286)\/429 + 13*1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.422138591 rounded to two decimal places?\nAnswer: 21.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 26949 = 4845. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))*4 + 2.\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 48*o - 65. Determine s(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 684*z - 1233. Let t be s(5). What is the greatest common divisor of t and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30725 * -1270\nAnswer: -39020750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 121*x + 1820. Let n be s(-15). Which is the closest to 0.445? (a) n (b) -5 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -2\/27, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 39\/217?\nAnswer: 39\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 193676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2 - 35*j**3 - j**2 + 0*j**2 - 2*j - 3. Suppose 2*i + 15 = 13. Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-14)*63\/(-6). Suppose -3*g + 0*g = -p - 134, 5*g - 5*p = 220. Calculate the greatest common factor of h and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124132432 (base 5) to base 9\nAnswer: 1136236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) 14 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttmqtmtcama. What is prob of sequence mc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15872\/5845 + -1\/835. Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30536 + 5*t**3 - 30536.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4333 (base 6) to base 7\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92718824467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3102 - 1783. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5615509*q**4 - 44*q**2 - 752160772*q.\nAnswer: 67386108*q**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000128826 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*(2 - 2). Suppose 8*p - 13*p + 220 = d. What is the remainder when 216 is divided by p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - 6 - -1) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, w: 2, q: 4}. What is prob of sequence qqqw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*u + 974 - 902 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-151 + -1)*11\/(55\/(-50))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1993\/32 and -40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - h**4 + (8 + 24 - 20)*(4*h**4 + 20*h**4 + 8*h**4).\nAnswer: 383*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 + 1251*m**2 + 2493*m + 1245 = 0.\nAnswer: -415, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8829951, -17659882, -26489813, -35319744, -44149675, -52979606?\n\"Answer: -8829931*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26670574?\nAnswer: 2, 7, 1905041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 3107*k**3 - 3102*k**3 + 14 - 3 as o*k + w + b*k**2 + l*k**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**2 + l + 2. Let h be v(-2). Calculate the highest common factor of h and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5286685*n**3 - 156*n**2 + 12033?\nAnswer: -31720110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(64)\/(sqrt(28)\/sqrt(7)))\/(sqrt(16)\/(sqrt(2) - sqrt(10)\/sqrt(245))))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*n + (4*n - 3*n - 4*n)*(0 - 1 + 2))*(-16014 + 0*n**2 - n + n**2 + 15694).\nAnswer: -n**3 + n**2 + 320*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let i be (0 - 0)\/(3 + o). Suppose 890000 = -i*x - x. Round x to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b + 1091?\nAnswer: 10fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(1\/2). Suppose z*p = 29 + 1. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:06 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -d + 3*d + 14, 2*q + 2*d = -6. Suppose -3*c + 2*c = -q*f - 10, 4*f - c = -20. Let b = 27 - 21. Put b, f, -4 in decreasing order.\nAnswer: b, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-42)\/4. Let m(f) = -f + 9. Let y be m(l). Solve 2*v**2 + 0*v**2 - v**y = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 4, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(6\/5)\/s*s)*s\/(s*s**(-2\/43)*s*s) assuming s is positive.\nAnswer: s**(-678\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 6?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -544*n + 5548. Let v(b) = -b**2. Determine m(v(i)).\nAnswer: 544*i**2 + 5548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/16 + 41*j**3\/4 - 504*j**2 - j - 506. Let t(g) = 0. What is g?\nAnswer: -96, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*s + 25*s - 42*s)*(-3 - 6 + 4)*(s - 7 + 7) to the form y*s + t + m*s**2 and give m.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4352545, 4352546, 4352547?\n\"Answer: q + 4352544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t - 24 = -104*t - 2824 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291573 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/(-6))\/((-114)\/93860). What is the greatest common factor of z and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18574, -37150, -55752, -74398, -93106, -111894?\n\"Answer: -3*r**3 + 5*r**2 - 18570*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116723 is divided by 7624.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*j**4 + 2*j**4 - 18*j**4)*(54*j + 48*j - 106*j).\nAnswer: -72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/2 - 81*a**2 - 1393*a\/2 + 2805 = 0.\nAnswer: -11, 3, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 + o**3 + o**2 + o + 261. Determine i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -1, -4, 185 in increasing order.\nAnswer: -4, -3, -2, -1, 5, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = -55. Solve -4*q = 3*r + 2*r - 37, 0 = 2*q + r - a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22994 + 22993 - 1259*x + 3662*x - 45989 as r + n*x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/18 + (-5)\/(-5 - 5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/25)\/l*l\/(l**(-5\/2)*l))\/(l**3*l*l**(-8)) assuming l is positive.\nAnswer: l**(271\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4.5. Which is the closest to z? (a) 2\/11 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 906*h + 2691 = 0 for h.\nAnswer: 3, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzdjttjttwzwjwjtjjt. Give prob of sequence wwj.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.105393 + 0.11671. What is g rounded to 4 dps?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(136)*-3 - sqrt(136)) + (2*sqrt(136) + sqrt(136))*-5)*5)\/(3*sqrt(88)\/(-2*sqrt(11)*6)) + 3.\nAnswer: 3 + 440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkvtvvmmtmtvmm. Give prob of picking 1 v and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -44*l**3 - 3*l + 2. Suppose 2*n + 38 = -6*d - 4*d, n + 3 = -d. Calculate q(n).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k + 74 = 152. Solve 0 = -5*t - 3*q - 16, 12*q - 1 = k*t + 15*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 11*x + x)*(-2*x**2 - 2*x**2 + 3*x**2) + 129*x**3 - 20*x**3 - 21*x + 21*x.\nAnswer: 126*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 11*h + 2. Let q be y(5). Let l be (-12)\/(-14)*q\/(-14). Which is the closest to 4? (a) l (b) -2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -1 - 49\/6*d**3 + 0*d**5 + 7\/24*d**4 + 45*d**2 - 1\/60*d**6 + 0*d. What is the derivative of b(l) wrt l?\nAnswer: -6*l**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 11. Let p be j(14). Let l be (-26)\/(-18) - (4 + p). Is l at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 123 = -3*y, 3*y - 158 = 7*c - 11*c. What is the first derivative of -62*h**3 + y*h**3 + 54 + 92*h**3 wrt h?\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258148?\nAnswer: 2, 11, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d + 67*d - 148*d + (4 - 2 + 0)*(1 - d - 1) + 2*d + 18 + 18 - 38)*(1 + 3 - 5)*(1 + 2 - 1).\nAnswer: 196*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019292.\nAnswer: 2, 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10013*h**2*k + 18*h**2 + 227*h*k + 9529*h - 2*k + 10 wrt k.\nAnswer: -10013*h**2 + 227*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12972 and 3384.\nAnswer: 77832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*65.1\nAnswer: -26.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*j - 480*j - 170*j + 247*j.\nAnswer: -678*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 296315421 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 3, -5.77?\nAnswer: -5.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 7*n**2 + 5*n - 4. Let q be l(-6). Solve 5 - 1 = -q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/3)*g**(4\/3)*(g**(-2)\/g*g)**(10\/7) assuming g is positive.\nAnswer: g**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30 - (-168)\/180.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 - 4.93. Let d = 5.00000064 + b. Round d to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 28*s**2 + 2*s + 1. What is o(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*h - 528*h - 1257*h.\nAnswer: -591*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 48 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -33*i - 810. Let s be h(0). Let w = s - -2042. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 18157710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q + 80 = 26*q. What is the closest to 3\/5 in q, 5, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 12*c**3 - 29*c + 20. What is the first derivative of m(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249035065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -15. Suppose 5*q + 92 = h*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 - h. Let s(n) = 92690*n. Let p(o) = -33*o. Let g(r) = -2821*p(r) - s(r). Calculate g(a(m)).\nAnswer: 403*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-40) + 736\/2240. Factor 0*i**2 + 0 + t*i**3 + 12\/7*i**4 + 0*i.\nAnswer: 3*i**3*(4*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqvqqqqv. What is prob of sequence qqvq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10522 + 10519. Sort -1345, 1, q in increasing order.\nAnswer: -1345, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 12*i**2 + 2*i - 9. Let y be h(12). Suppose -y = 5*r, -18 = -5*d + 4*r - 6. Is d equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + -2)\/15*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-59)\/408)\/(2\/(-6)). Let m = a - 3\/8. Let y be -2 + 2 + 0 - 0. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:08 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434*v**3*x**3 + 31*v**3*x**2 - 125*x**4 - 844*x**2 wrt x?\nAnswer: -2604*v**3 - 3000*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7734935 to the nearest 10000.\nAnswer: 7730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 4. Suppose -3*l + 657 = w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 12. Suppose -3*u + 29 = 4*x, 36 = p*u + 2*x + 4. Let n(r) = -r**3 + 9*r**2 + 9*r - 6. Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*r + 1559 - 1559)*(1 - 2 + 4)*(r + 0*r - 3*r) + 15*r**2 + 0 + 5*r - 16*r**2 - 1.\nAnswer: -217*r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15)*(-315)\/(-126).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -7 (c) -0.4 (d) 75 (e) 2\/5 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 + 7*d**2 - 9*d**2. Let v(f) = -2*f**2. Give q(v(i)).\nAnswer: -44*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g + 12 = 0. Let q(h) = -11*h. Is q(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(44)\/sqrt(4) + 3*sqrt(55)\/sqrt(5))*-4.\nAnswer: -16*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9343284*x**3 - 20569413*x**2.\nAnswer: 56059704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - l**2 + 3*l**2 + (-3*l**2 - 2 + 2)*(-2 - 3 + 4) - 3*l**2 - 3*l + 3*l + (-2*l + 5*l - 4*l)*(4*l - 6*l + 3*l) + 115*l**2 + 208 - 208.\nAnswer: 116*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 1. Let m(c) = -9*c + 38. Let t(g) = 4*g - 23. Let r(i) = -3*m(i) - 5*t(i). Give 6*q(z) - 11*r(z).\nAnswer: z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 335?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 341018*u + 1 + 341101*u.\nAnswer: 83*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/60 - 2*b**3\/15 - 3*b**2\/10 - 7*b + 3. Let v(l) be the first derivative of o(l). Factor v(m).\nAnswer: -(m + 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 + 21*x**3 - 24*x**2 - 48*x = 0. Calculate x.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = p - 156, 2*x - 3*x + 140 = p. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*-2*sqrt(704) - (-4 + (sqrt(704)*-2)**2 + sqrt(704) + sqrt(704))) + 0).\nAnswer: 80*sqrt(11) + 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8836 + 21183. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + 105*n**2 + 1025*n - 54. Let q be s(-8). Factor -4\/3 + 2\/3*x**5 - 8\/3*x**3 + 0*x**4 + q*x + 4\/3*x**2.\nAnswer: 2*(x - 1)**3*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m**2 + 253*m - 2451. What is the remainder when a(10) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2605 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 0.1, 314, 3\/5 in decreasing order.\nAnswer: 314, 3, 3\/5, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*i + 238*i - 1035 - 966 = 133*i for i.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 + 4. Let x be w(-4). Suppose x*r - 3*r - 40 = 5*s, 3*r = 3*s + 144. What are the prime factors of -2*1 - r\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 509.0188 decades?\nAnswer: 5090.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 3*c + 46. Let z be q(4). Find the third derivative of 235 - 26*d**4 + d**z + 169*d**4 - 252 wrt d.\nAnswer: 3432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*y - 8 - 17*y - 447*y.\nAnswer: 3*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 2*v - 4 + 6*v - v**2 - 3*v**3 to s*v**3 + o*v + r + j*v**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 10457946.\nAnswer: 1\/5228973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121999318*c**3 + 102491418 wrt c.\nAnswer: 365997954*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, 68, 66, 64, 62?\n\"Answer: -2*h + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539305*q + 1155 = 539250*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x = -3 - 11, 4*x = v + 6. Let p be (-1 + 0)*118\/(4\/v). Does 27 divide (-15)\/(-25)*p*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -158. Suppose 0 = 3*t - h - 31, -15*t + 52 = -y*t - 4*h. Solve -2*v = -3*p + 11, -p + 4*v - t + 26 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1. Let l(g) = -15*g - 17. Determine 102*c(d) + 6*l(d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 52 and -10641.\nAnswer: -10589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333 - -222. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 136, 312, 560, 880, 1272, 1736?\n\"Answer: 36*v**2 - 4*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 2. Let g(d) = 3*d + 1. Let j be 5 + -4 + 4 + -2. Let t be j + -4 - (0 + 3). Calculate t*h(b) + 9*g(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1711 divided by 37.\nAnswer: 1711\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 132330 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8129, -17342, -27639, -39020, -51485, -65034, -79667?\n\"Answer: -542*c**2 - 7587*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/3*m**4 + 1\/15*m**6 - 4*m - 2\/3*m**3 + 2\/5*m**5 - 2\/21*m**7 + m**2 + 0. Solve h(y) = 0 for y.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 - 505*t**3 + 252*t**3 - 2*t**2 + 5*t**2 - 2*t**2 - 53 + 243*t**3 in the form w*t**3 + v + b*t + s*t**2 + j*t**4 and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*y**2 - 136*y + 96979 wrt y?\nAnswer: -200*y - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*c**5 - 9 - 32*c**5 - 17*c + 5 + 2*c wrt c.\nAnswer: -1000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-13)\/(429\/(-44)). What is the nearest to y in -9, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*182\/(-28))\/52?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x - x**4 - 8*x - 3*x**4)*(-2*x + 2*x + 2*x).\nAnswer: -8*x**5 - 46*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3246564 divided by -264.\nAnswer: -270547\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*q - 5*y - 8, 4*q + 44 = -5*y. Let v(k) = 2*k**2 + 12*k + 8. Let f be v(q). Suppose 3602 = f*o - 726. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 28*a**2 - 7*a**2. Let z(l) be the third derivative of 1\/30*l**5 + 0*l**3 + 102*l**2 + 0*l + 0*l**4 + 2. Determine z(b(g)).\nAnswer: 1152*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 14*m - 182 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255580*0.2.\nAnswer: 51116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-6)\/(-255))\/(-2)). Suppose 3*j = -2*h + 29, 7*h - 3*h - 3*j = k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = m + 8, 3*m - 4*l = 90 - 104 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/(116\/(-348)). Solve -g*q - 16 = -3*r, 3*q + 5*r - 6*r = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.9932ns to seconds.\nAnswer: 0.0000008579932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*r, 42 = 4*x + r. What is the remainder when 20 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1513b + -6?\nAnswer: 15135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -46. Factor z**3 + 2 - 1 - 142*z**2 + 3*z + 145*z**q.\nAnswer: (z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiab when four letters picked without replacement from {i: 6, b: 9, a: 2}?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 21. Let k = m + -18. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1029) + sqrt(1029)*-1))\/(sqrt(84)\/(1*sqrt(768))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - -3. Suppose 13*j - 11*j = c. What is the greatest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -t - 13, p - 7 = -2*t - 0. Suppose k - 4*r = -6*r - 19, -t*k - r - 35 = 0. Let a = k + 129. What is the greatest common factor of a and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 5*s - 35 = 0, 4 = a + 2*s. Suppose 5*b = 2*y + 129341, -3*b + a*b + 3*y = 77592. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 2 + (-32*f - 10*f - 12*f)*(-3 + 4 + 1) + 2*f + f - 4*f)*(-12*f**2 + 15*f**2 + 36*f**4 - 2*f**2).\nAnswer: -3888*f**5 - 108*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrnn when four letters picked without replacement from ljzljjjnnrmmrm?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0.4 (c) -5\/7 (d) 6 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3, 3*a - 4*a = 3*t + 7. Let r = 4 - a. Let m be 2*(-2)\/(-12) - 10\/90. Put 0.4, m, r in increasing order.\nAnswer: m, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186591 + 11614791 = 7*w. Suppose -4*f - 5*f = -w. Round f to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*s + k - 17, 0 = -s - 5*k + 26. Let a be (-2 - -1)*(s + 12). Let h be a - (-1 + 2 - 0). Round h to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3720832 is divided by 99.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = -3*a + 2, 0 = 3*a + 3. Solve x - 2 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 + -382. Let k = h + 641.11. Which is smaller: -0.06 or k?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4802*y**4\/9 - 50983030*y**3\/3 - 1700580886*y**2\/9 - 68838146*y\/3 - 700480 = 0.\nAnswer: -31840, -11, -3\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -80, 6, 2\/17, 4, -25\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from bbebebnibbnnbnbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96005454*c**2*d - 5221*c*d - 3*c + 4*d + 25 wrt c.\nAnswer: 192010908*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-7) - 2*(-3)\/14. Find the common denominator of (-6)\/n - (-42)\/4 and 79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -69, -122, -195, -294, -425?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - y + 2 - 2*y - y - 2*y**2. Let f(o) = -o. Let i = -11 + 16. Determine i*f(n) - q(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*w = 617*w + 1482. Solve 0 = -23*m + w + 96 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 59 - (0 - 0 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 2*f**2 - 7. Let o be h(3). Sort 7, 7\/6, 2\/3, o in decreasing order.\nAnswer: 7, o, 7\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -67*c**3 - 14*c**2 + 5*c - 5. Let z(h) = -59*h**3 - 12*h**2 + 6*h - 6. Determine 6*i(l) - 5*z(l).\nAnswer: -107*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - q + 2. Let v be z(4). Let w = v + -88. Suppose -3*h + w*h - 5673 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 6965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 173 in -3, 23, -3\/86?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 15, 3*w - l - 53 = -w. Suppose 0 = 15*h - w*h - 6. Solve 5*z = 4*b - 7 - 15, -5 = -3*b - h*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*r + 9 = -r, -3*n + 15 = 3*r. Let y be (-3)\/9 - 8\/(-6). What is the units digit of n - (1 + y*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2728*y + 1581*y - 12045 = -1366*y for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Let l = 109\/8 - h. Calculate the common denominator of -9\/10 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41980\/180 + 4\/(-18).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 5 = 7*j - w, -5*w = 3*j - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 4.1. Let y = 1.7 + i. Put 0.12, y, 3\/4 in increasing order.\nAnswer: y, 0.12, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 90.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -5.6. Sort d, 1\/6, 0.1 in ascending order.\nAnswer: 0.1, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3127725296.462963 + 3127723929. Let u = 1367.4 + j. Let m = u - -0.063. What is m rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76537 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*t = -201*t - 1836 - 19444 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 13*z - 25. Let w be y(-15). Suppose -d - j + 59 = -w*j, -2*d + 107 = 3*j. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 4 + -25)*(51 + -50)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -3*(sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77) + sqrt(77)) - sqrt(77)))\/((sqrt(88) + sqrt(22))\/sqrt(2))*-6 + -4.\nAnswer: -26*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3 + 4 - 2. Suppose -6*m - 8 = -5*m. Let q be 17\/(-68) - (-6)\/m. Let k(g) = -2*g - 4. Determine q*k(i) + 6*a(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16 = -3*u, -7*i = 4*u - 8*i + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*a = -271 - 184, 0 = c + 3*a - 461. Let l = c + 34. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*w - 4332 = -4752 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 11552750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.37, -2, 0.06, 167, 0.0154?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 2*f - 0*x, -5*x - 1 = 2*f. Suppose 3*t - f*t - 134 = 0. What is the remainder when t is divided by (1\/(-4)*10)\/(5 + (-124)\/24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 526 + -512. Let l(f) = 1 + y*f**3 + 9*f**3 - 11*f**3 + 9*f**3 + 15*f - 22*f**3 - 14*f**2. Let z be 1 + -16 + (0 - 0). Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-744)\/1240)\/((-282)\/425) and 27\/83.\nAnswer: 7802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwxa when four letters picked without replacement from gwaaggxkka.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - y - 4. Suppose -4*x - x = -10. Suppose -6*k + 16 = -x*k. List the prime factors of c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 + 9161588*p - 9161588*p.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/253345677 and -103\/113126.\nAnswer: 506691354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.35 - -3.35. Sort -1\/4, 0.1, y, 1\/4.\nAnswer: -1\/4, 0.1, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 1 + 1)*(207*d - 446*d - 264*d).\nAnswer: 503*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -5*w + 231. Solve -5*u + 22 - 7 = 5*k, -3*u = 4*k - w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44741?\nAnswer: 44741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**4\/12 + 84*f - 3. Let r(c) = 39*c**2 - 3*c. Determine r(w(d)).\nAnswer: 39*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 3*d - 49. Is t(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 147344*o + 1356890896.\nAnswer: 4*(o + 18418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.95 * -9.\nAnswer: -71.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*k**3 - 31*k**3 + 33*k**2 + 42*k**2 - 32*k**3 - 6*k**2 as n*k + r*k**2 + v*k**3 + h and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**1))\/x)**(-6\/23))**(-12) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -229\/28?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.9407 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -84.99999941. What is b rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157\/6 - 25. Let r = 6113\/18 - 2674\/9. Find the common denominator of q and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4330132043 + -4?\nAnswer: 4330132034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61760177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1561 and 84880267?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q - 2. Let c(n) = 870*n + 135. Let m(f) = -2*c(f) - 135*g(f). Let j(w) = 4*w + 6*w - 17*w + 6*w + 3*w. Determine m(j(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 20*p + 236. Let m(l) = 7*l + 78. Let r(i) = -11*m(i) + 4*o(i). Let z be r(-21). Which is the closest to -1? (a) z (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31017579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 - 71. Suppose -2*d + 0*y + 3*y = -11, d + 5 = 5*y. Suppose 2*q = -d + o. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2. Let a(o) = 20*o**3 - 30*o**2. Give a(f) - 30*z(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*a**5)*(0 - 2 + 0)*(65 + 51 - 139).\nAnswer: -92*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1907.1 (b) -25 (c) -1\/2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-25))\/((1\/(-2))\/(775\/620))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 801090 and 73890.\nAnswer: 657694890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49738 times 0.3?\nAnswer: 14921.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183321*k**2*m**2 - 82*k**2*m - k**2 - 249*k*m - 2*m**2 - 1 wrt m?\nAnswer: -366642*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865 is divided by 2410.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 2521118*r**3 - 5*r + 7*r.\nAnswer: -2521118*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {v: 1, x: 2, i: 5, n: 3, d: 3, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215369, 430738, 646109, 861482, 1076857?\nAnswer: 1292234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 8.7\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.3. Let b = -2.6 + 2.5. Let m = 23668 - 23668. What is the fourth biggest value in b, a, m, 2.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*z = -1118 - 253, -2*p - 5*z = -914. What are the prime factors of p?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 39586.11ug?\nAnswer: 0.00000003958611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*b**3*u*y + 777*b**3*y**2 + 2*b**2*y**2 + 24*b*u*y**2 + 34*b*y - 4*u*y wrt b.\nAnswer: 156*u*y + 4662*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -9\/1649116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-44)\/(-6) + 8\/(-6)). Let h = 23 + v. Suppose -t - t = -2*j + 16, -3*j - h = 5*t. Solve -j*x + 2*x = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a + 16*a - 22*a)*(163*a**3 - 4974*a**2 + 4974*a**2).\nAnswer: 1793*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -645, -951, -1257, -1563?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 152*w**2 - 14383*w + 8876. What is r(94)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -200494 equal to -200494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -47. Suppose -h - 5*d = h, -4*h + d = -k. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z = 28*z + 5*m + 42, -4*m = 32 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = -17. Let c(j) = j**3 - 19*j**2 + 36*j - 30. Let y be c(i). Solve -5*w = y*b + 32, -3*b + b - 18 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61992971 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121931*w**5*z - w**5 + 3*w**2*z + 3*w**2 - 23*w*z - 201*w wrt w?\nAnswer: 7315860*w**2*z - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -36. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*y = -935, -29*q + 30*q + 2*y - 187 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*o + (-4*o + 4*o + 3*o)*(1 + 2 - 1) + 5*o - 1 + 1 - 1 + 2*o + 0*o + 0*o.\nAnswer: 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/4 - 2) + (-8)\/(-16). Suppose -2*c + 1584 = -5*c - 2*b, 1072 = -o*c + 4*b. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1183 and 5.092.\nAnswer: -6023.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 1. Let y be o(-1). Suppose -480 = -11*c + 6*c. Suppose y*g + 4*g = c. What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 - 17*p - 9. Determine r(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 1470*t**3 - 25 + 53.\nAnswer: -1470*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1690.\nAnswer: -3\/1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 - 42\/105. Is g <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -747 (c) 2\/259 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46539425 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)\/x*x)**(-35))**(-6\/7)\/(x**(-1\/4)*x**(2\/9)*(x**(-1\/2))**(-46)) assuming x is positive.\nAnswer: x**(-827\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 + 7 = -3*t, -5*t - 19 = 2*b. Suppose 0 = -b*z + 121 - 160. Let j(i) = -2*i - 13. Determine j(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 3. Let h = -7 + 3. Let d be t(h). Let w(b) = 2*b - 4. Let s be w(3). Solve p - u + 2*u = d, 4*u = s*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2922521984 divided by -4\nAnswer: -730630496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.1, 0.5, 1001, 0.2, -1?\nAnswer: 1001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-10)\/(-6))\/(-1))\/((-3)\/9). Let p(u) = 3*u**3 + 8*u - 8. Let v(l) = -16*l**3 - 3*l**2 - 40*l + 41. Let o(n) = -11*p(n) - 2*v(n). Give o(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47940 divided by 564.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*h**2 + 4 - 310*h**2 - 4 - 2*h to the form n*h**2 + y*h + q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 13. Let v be q(7). Let i be v\/2 + 1316 + -5. What is the units digit of 3\/(-2)*i\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1536314 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) 2 (b) 0.1 (c) -4\/19 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k - 17. Is 23 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyooobybjeeor. What is prob of picking 4 o?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56585\/16 - 3535. Calculate the common denominator of 47\/40 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(2\/4 - 0). Let c be 205\/(-123) + 1\/(-3). Let p be (-2)\/(-4)*-1*(c - -8). Put -5, p, a in descending order.\nAnswer: a, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-188)\/(-20))\/((66\/10)\/((-55)\/110)). Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.12896 millilitres in litres?\nAnswer: 0.07512896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -10, 6, -0.1 in decreasing order.\nAnswer: 6, 5, 2, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622562509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/5*o + 2\/5*o**2 - 14\/5 = 0. What is o?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) - 156\/7. Let n = 62 + u. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772619 or 772587?\nAnswer: 772587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0271 + 0.02704. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 1)*(-3 + 2 + 0) - 3 + 7 - 1)*(-4*a + 3*a + 2*a)*(-26*a**2 - 8*a**2 + 12*a**2) as k*a + s + o*a**3 + q*a**2 and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*z + 659*z - 439*z = 3366 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*j = -j + 138, 567 = -39*u - j - 679 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 631138997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 828 - -1468. Suppose 2*x + w = 2322. Calculate the lowest common multiple of x and 64.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 17*j - 36. Let a(w) = -w - 1. Let v(x) = -6*a(x) + q(x). Does 21 divide v(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8 + 47*q + 5*q**2 - 10*q - q**3 - 17*q. Suppose 0 = -2*i - 0*i + 12. What is the tens digit of v(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 22\/9407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 12*q**4 - 3*q**4 - 2*q**2 - q**2 + q**3 + 13*q**4 as b*q**4 + f*q + w*q**3 + m*q**2 + j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5*i + 14 = 5*b, 3*i = -3*b + 3. Solve -b*d = -2*s - 3*s, -3*s = 5*d - 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 16, -2*b = -4*x - 0*b + 28. Suppose -x*w - 3*w = -896. What is the greatest common factor of 32 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/272 and 75\/238.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(480) + sqrt(480))*-2 + sqrt(480) - sqrt(480)*1*-1)\/((3*sqrt(66)*-1)\/(4*sqrt(275))).\nAnswer: -160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 divided by -6?\nAnswer: 553\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 335 + -125. Is 8 a factor of (c\/25)\/(4\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = -5*w + 2*s, -w + 3*s = 4. Let g = w + 8. Solve -3*h + 2 = -g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*f + 306, -5*f - 1492 = -5*q - f. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiik. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*v - 3*v**2 + 2*v**3 + 3*v**2 - 73*v - 57 with respect to v.\nAnswer: 6*v**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, 59, 345, 767, 1337?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(176) + (-2 + sqrt(176))**2 - sqrt(176)).\nAnswer: -1080 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14392, -57589, -129584, -230377?\n\"Answer: -14399*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 greater than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 11*i - 5. List the prime factors of s(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26454 divided by -6.\nAnswer: -4409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 44. Let l be (-42)\/(-8) + (-6)\/r. Suppose 310 = 5*p - l*s, 0*p + p - 68 = 3*s. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282360 and 5430?\nAnswer: 282360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 210\/(-3 - -9) + -9. Let l(i) = i**3 - 24*i**2 - 19*i - 50. What are the prime factors of l(h)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 - (-20 - -438) - (-2 - (13 + -1))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3916 - -15665\/4. Let j = 0 - 1\/4. Which is the nearest to 1\/3? (a) 2 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 * -2\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*o**3 - 160*o wrt o.\nAnswer: -1182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 5) in base 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*i - 0*i - 9, -3*r - 4*i = -5. Let w be 549\/(-81) - 2\/9. Let c = 12 + w. Solve -r + 8 = c*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2057)*2 + -2)*5)**2.\nAnswer: -2200*sqrt(17) + 205796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 5:26 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031945 to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from iiziiiiazisis?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251\/9 + 83\/3. What is the biggest value in -0.2, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/12 + a**2\/4 - a\/4 + 8. Factor d(z).\nAnswer: -(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48233132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 + a**2 - a. Let m = 9 - 5. Suppose 4*k = -2*i, -m*k - i + 5 = 3. Calculate d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9679827 is divided by 431?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*p + 93 = 0, 2*a - 164 = -3*a - 4*p. Suppose -3*q + a = q + 3*d, -d - 21 = -5*q. Let u = q - 1. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63231137?\nAnswer: 2417, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 3, 6, 5 in descending order.\nAnswer: 6, 5, 3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as 124.132417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1106893 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(1\/7))))**(-2\/91)\/(l\/(l**8\/l)*(l\/(l*l**6))\/l) assuming l is positive.\nAnswer: l**(8265\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*s - 19 = 0, 0 = -5*b - 1396*s + 1395*s - 29 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2950*z**4 - 7646.\nAnswer: 11800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-4)\/(-72)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77300 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y + 113. Let c be o(-9). Suppose -60 = -5*u - c*l, -2*u - 2*l = -u - 12. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-8))\/(-5))\/(11\/(-88)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -0. Suppose -u + 5*g = -46, -i*g = 3*u - 7*g - 168. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453306.\nAnswer: 2, 3, 7, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeeeeeefeteee. What is prob of sequence teff?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -43 - (-23)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Let b = 6 - v. Let a(o) = o**3 - 2*o**2 - 5*o + 2. What are the prime factors of a(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-4 + 4 + 2*w) + 2*w - 4 + 4 + 6*w + 4*w - 2*w - 1 + 1 + 3*w - 2*w + w + 3*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 276 = -63*u - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.15 (b) -10\/3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.6333 + -0.0333. Let w = 42.63 - u. Sort 1\/10, 3, w in descending order.\nAnswer: 3, 1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0)\/(18\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-594) + 96\/1683. What is the closest to -8\/11 in -0.1, k, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2*j + 1614 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 + 0*k**2 - 5*k**2)*(2 + 2*k**2 - 2) - 2566*k**4 - 10753*k**4 - 1752*k**4 - 7434*k**4 to n + f*k**4 + v*k**3 + s*k + d*k**2 and give f.\nAnswer: -22507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2815, -5631, -8447, -11263, -14079, -16895?\nAnswer: -19711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaaooqoqoaqoq. Give prob of sequence oqa.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 3*x**2 - 274*x - 1843. What is y(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33608551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -20. Let i = 12 + u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6260897 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrvr when four letters picked without replacement from {g: 2, r: 8, n: 1, v: 7}?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 32*z**2 - 1. Let x be c(1). Let o(u) = -2*u**2 - 4*u + 124. Let v be o(0). What is the highest common divisor of v and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*x + 3*x - 102, v = -3*x - 59. Let n = -47 - v. Suppose 2*r - 4*r + 1774 = n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*l**2 + 294*l**2 + 199*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l - 6*l**2 + 0 + 1\/24*l**4 + 7\/3*l**3. What is the units digit of k(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyysyysysy. Give prob of sequence sy.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-3) + (-4)\/(-6). Suppose -t*z + 8 + 28 = l, 4*z = -2*l + 48. Suppose -m = m - z. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12.93. What is the closest to 0 in 1, -4\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163297 divided by -163297.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (6 + -547)\/(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -0.093?\nAnswer: 1.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(4 - 4)*1. Suppose x = -6*w + 3*w - 15. What is the smallest value in w, 0.2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2466 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + f + 15, -2*f - 69 = 5*n + f. What are the prime factors of 9\/6*(-16)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 321 + 120. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 29*f**3 + 3*f - 2*f**4 - 29*f**3)*(-2*f - 2*f + f) - 323 - 32*f**5 + 323.\nAnswer: -26*f**5 - 9*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n + 4. What is y(-8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1405, 93, -9, -1 in increasing order.\nAnswer: -1405, -9, -1, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -38. Let g be 4\/(-14) - (-327)\/(-7). Let h = l - g. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232075 is divided by 21095.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 - 651 - 130)*(0*i + 3*i - 2*i)*(2 + 3 - 3) in the form k*i + t and give k.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7780*f - 421248 = -996*f for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89.03 + -45.03. Which is the closest to -1? (a) -1 (b) t (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/6)\/((-10640)\/(-21280))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 + 5*b + 10. Is 49 a factor of j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 8*s. Solve -8*r + s = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 729*y**4 + 4*y**2 + 8*y + 20809937 wrt y.\nAnswer: 2916*y**3 + 8*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 7, 2\/443, -2 in decreasing order.\nAnswer: 7, 2\/443, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8005544 (base 9) to base 10.\nAnswer: -4255618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 4*l**2 + l**4 + (2*l**4 - 3*l**4 + 0*l**4)*(-4 + 5 - 16).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 12:26 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2. Let s(g) = -3399*g - 194*g - 1913*g + 301*g. What is s(n(h))?\nAnswer: -20820*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 2, s: 1, l: 2}. Give prob of picking 1 a and 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = v + v - o, 3*o + 9 = 0. Suppose -10*t = -11*t - 26. Let x be (-5)\/30 + t\/v. Solve -x*a + 0*a + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 600 - 19213 = 4*n, 2*y + 4960 = -n. Let v = n - -79209\/16. What is the common denominator of v and 279\/(-4)*(-4)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/3 + 69*x**2 - 844*x\/3 = 0.\nAnswer: -211, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, h: 1, a: 8}. What is prob of picking 4 i?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6805 by 3.\nAnswer: 6805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1233 at most as big as -1234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12287 - 2820. Which is smaller: q or 9468?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 - 245. Suppose 11*c - d*c = 0, -4*n + 20 = c. What is the closest to n in -2\/9, 1, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/1015, -3, -8, -0.13 in ascending order.\nAnswer: -8, -3, -0.3, -0.13, -1\/1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -163, -239, -311, -379?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18*f**2 - 1696*f - 1. Let c(h) = -h**2 + 6*h. What is 15*c(s) + n(s)?\nAnswer: 3*s**2 - 1606*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2161 - -3?\nAnswer: -2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 437*h + 1665 + 4016 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4030 (base 14) to base 4\nAnswer: -2230022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = s + 173*r - 168*r, 7*s - 15 + 5 = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x + 30 + 13*x - 18*x - 7*x**2 + 8*x**2. Let o be c(10). Solve -w - v = -4*v - o, 0 = -2*v - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 7*q**2 - 4*q - 8. Let a be j(6). Which is bigger: a or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -345, -660, -961, -1242, -1497?\n\"Answer: x**3 + x**2 - 325*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1420*w - 2632*w + 1300*w)*(2 - 6 + 3)*(-8*w + 2 - 2) as j*w + i*w**2 + u and give i.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1910 and 4333790?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:06 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 110*m**2 + 2843*m + 985. Determine y(-69).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14282904 is divided by 655?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33, -262, -877, -2070, -4033, -6958, -11037?\n\"Answer: -32*f**3 - f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -41 + 55 + -5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -175*p + 10. Let b(j) = -350*j + 17. Determine -4*b(y) + 7*q(y).\nAnswer: 175*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + q - 152 = 0. Suppose -6*u = -116 + q. What is the smallest common multiple of u and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 = n - 0*i, 0 = -3*n - 4*i + 19. Suppose -n*p - 11 = 4*q, 5*p - 18 - 3 = 4*q. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**7\/210 - y**4\/8 - y**2 - 1. Let d(u) be the second derivative of m(u). Find the second derivative of d(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvup when four letters picked without replacement from {v: 4, p: 2, b: 4, u: 10}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25051916639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((5 + -4)*0\/(-2))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181.9 - -182. What is the fourth smallest value in m, -2\/3, 0.25, -4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 21. Let q(n) be the second derivative of 5*n**3\/3 + 2534*n. Calculate l(q(h)).\nAnswer: -200*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j**2 - 3*j**2 + 32*j**2.\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 8, -17, -52?\n\"Answer: -5*g**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -5, 4, -158, 0, -3 in descending order.\nAnswer: 37, 4, 0, -3, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 8*b = 2686. Calculate the highest common factor of 79 and b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*o - n - 10, 5*o = 5*n. Let w be 0\/(-16) - o\/(75 + 1). Are w and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:37 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1964069 to the nearest 1000.\nAnswer: 1964000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + (-231)\/(-28). Suppose k = -2*s + 6*s. What are the prime factors of (-1)\/s + 69\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 60*x - 122*x + 62*x - 20*x**2. Let u(g) = -g**2. What is u(b(o))?\nAnswer: -400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let x be j + (-81)\/(-3) + -1. Suppose -13 = -2*v + v. Calculate the greatest common divisor of v and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -649 - -644. Sort -1, -132, r in decreasing order.\nAnswer: -1, r, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose 12 = v + p*v. Solve 3*o - l = v*o + 4, -2*l = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 232, 710, 1596, 3016, 5096?\nAnswer: 7962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((10 + -6)*(-2)\/(-40)). Let d(s) = 14*s - 2 - 1 - 16*s + f. Let m = -6 - -10. Give d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 231322214010?\nAnswer: -231322214000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*p. Let h be 16\/(-40) - 2\/(-5). Calculate the lowest common multiple of 7 and (-3 - -15) + (p - h).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -7*i + 13*i. Suppose i = 2*v - 31*v + 1595. What is the greatest common divisor of v and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*k - 189*k - 4*s = 46, -2*k = -5*s + 23 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, g: 2, n: 4}. What is prob of sequence yygg?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1200 - 44?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 188441483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -x + 319, -4*u + 323 = -62*x + 59*x. What is the highest common factor of u and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 35 = 0. Let o(h) = 2*h**3 - 10*h**2 - 3*h + 1. Let m be o(z). Suppose -25*p + 132 = -19*p. What is the greatest common factor of p and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9\/(-1)*((-800)\/(-15))\/(-20).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3) + (23 + 41 - 34) - -10.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let x(f) = -8*f - 10. Let t(h) = 7*h - 5. Let z(s) = s - 1. Let l(w) = t(w) - 6*z(w). Let v(p) = -10*l(p) - x(p). Determine k(v(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.8 + 37. Put 0.6, w, 1\/4 in increasing order.\nAnswer: w, 1\/4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23532440.5852 plus -0.3?\nAnswer: 23532440.2852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25840742 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:48 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1026, 1241, 1598, 2097?\nAnswer: 2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {h: 1, o: 1, i: 4, w: 2, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 - 247. Suppose 4*i - 20 = u*g, -5 = 3*i + i + g. Which is smaller: i or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488 divided by -488?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + ((-2)\/2 - 1))\/((-49)\/(-196)). Is j >= -2.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -6*y - 8*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(320) + sqrt(20) + 3*(sqrt(20) - sqrt(40)\/sqrt(2)))\/((sqrt(484)*-1 - sqrt(484))*-1))**2.\nAnswer: 405\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -382, -696, -1198, -1888, -2766?\n\"Answer: -94*b**2 - 32*b - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19\/162, -9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzss when four letters picked without replacement from szozsosss?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93696795 divided by -140055.\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 + 3*z**3)*((4 + z - 4)*(-3 + 2 + 2) + (-6*z + 3*z + z)*(-4 - 5 + 12)).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437560?\nAnswer: 2, 5, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eec when three letters picked without replacement from {e: 4, w: 2, c: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*h = -5*q + 14, 0 = 2*q - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o)\/o*o**(4\/5)*(o*o**(-3\/8))\/(o\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(-123\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c - 127. Let y(w) = -4*w**2. Calculate y(q(i)).\nAnswer: -576*i**2 + 12192*i - 64516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 756 - 756.3. What is the third biggest value in 1, 2.8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877, 1765, 2653, 3541, 4429, 5317?\nAnswer: 6205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 12) to base 2\nAnswer: 1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 7*f = -156. Suppose 23*y = 17*y + f. Calculate the highest common divisor of 5 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = 3*v, -2*u + 4*v - 14 = 14. Let a be u - -3 - 2\/(-2). Suppose -2*o = -a + 10, 30 = 5*y - 4*o. Solve -5*s + r + 10 = 2*r, -y*s + 4 = 5*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.99. Let n = -0.39 - d. Let o = -1.4 - n. Sort -0.4, 5, o in decreasing order.\nAnswer: 5, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 34. Suppose -20 = -q*i - i. Suppose i*u = 53 + 91. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 2. Let f be w(2). Is -2 + 23\/1 + f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + -0.28. Let p = k + 0.05. Put -1, p, -3 in increasing order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqcqqqqcqqqq. Give prob of picking 1 c and 1 q.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116821 or 116822?\nAnswer: 116822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 230. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182917 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37346 by 924.\nAnswer: 18673\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - z**3 - 4*z - 5 + 1 + 2*z**3 + 2*z. Suppose 9*u - 13*u = -3*s - 18, 0 = -s + 3*u - 6. Calculate x(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u + 32*u = 26*u + 696 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 672 = d - 386, d = -x + 210. Suppose 0 = i - x + 62. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/125 and -59\/435.\nAnswer: 10875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose v = 2*q - q. Suppose q*t + 9 = 41. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.117 + 18.\nAnswer: 18.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 310 = -342. Let u = r - -242. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001038558 rounded to 6 decimal places?\nAnswer: 0.001039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 514351.8 millilitres in litres?\nAnswer: 514.3518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/17, 0.3, 2\/337?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0371160177 rounded to 5 decimal places?\nAnswer: -0.03712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 34*c**2 + 64*c + 242. What is the thousands digit of j(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/301804 and 37\/22.\nAnswer: 3319844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 0.2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775071 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -61, 0, -48, -3 in descending order.\nAnswer: 4, 0, -3, -48, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 621112911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95146849*f**2 + 461*f - 2750.\nAnswer: -190293698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -17, -61, -153, -311, -553, -897, -1361?\n\"Answer: -3*c**3 + 3*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 12 - (1 + -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (-1 + (22 - 14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1766560 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.76 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z + 0*z**3 + 1\/39*z**6 + 0*z**2 + 0*z**5 - 1\/26*z**4 + 9. Factor k(i).\nAnswer: 2*i**3*(i - 1)*(i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*k**5 - 96*k**4 - 11*k**3 + 2037*k**2 - 5*k + 4 wrt k.\nAnswer: -3840*k**2 - 2304*k - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - 2*z - 4. Suppose 0 = -5*h + 6 - 1. Let r(n) = n**3 - n - 1. What is h*a(c) - 2*r(c)?\nAnswer: 3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)\/(11\/(-110)). Suppose 88 = 8*r - 152. Suppose 5*g = r + 20. What is the greatest common factor of i and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 - 16*z - 1 - 7 in the form n + k*z and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -15, 2*y - 3*j = -0*j + 153. Suppose -3*h = 7*h - 150. What is the remainder when y is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24*p + 116. Let r be y(4). Let b(z) = 11 + 13 + 10 + r - 32 - 8*z. Determine b(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1947 and 132868?\nAnswer: 4384644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 + 33 + 36)*(0*y + 0*y + 2*y**2) as j*y**2 + m*y + w and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4600, 15601, 33936, 59605, 92608?\nAnswer: 132945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.004212 rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132520153\/18282 - 442\/831. Let q = f + -7244. Calculate the common denominator of (37\/6)\/(-1) - -1 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**7\/2520 - j**5\/120 - j**4\/36 - j**3\/2 - j. Let h(f) be the second derivative of v(f). Solve h(o) = 0 for o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/2 - 21705*s**2\/2 - 39269769*s\/2 - 39248067\/2 = 0. What is s?\nAnswer: -3617, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008386666 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-68433)\/270 - (-5)\/25. Let k = g - -1241\/5. What is the common denominator of k and 43\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 1. Let p be g(4). Is p\/(-1 + 0\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*j + 113, 0*p - 181 = -4*j - p. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326900 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 14 = 0. Suppose w = -2*s + 20, 3*s - 16 = -s. Suppose w*u - 40 = 2*u. Sort l, 1, u, -3 in increasing order.\nAnswer: -3, 1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1833 and 33.\nAnswer: 60489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 11*z + 16*z - 48 = -79 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/80 + g**5\/20 + g**4\/16 - g**3\/2 + 2*g**2. Factor b(j).\nAnswer: -3*(j - 2)*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6419670, -6419661, -6419638, -6419595, -6419526?\nAnswer: -6419425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 11 in descending order.\nAnswer: 11, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 - 51 - 86)*(-w + 0*w - 2*w) to the form l*w + j and give l.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o. Let b(c) be the second derivative of 0 + 0*c**2 + 1\/3*c**3 + 4*c. Give a(b(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*(-2 - -23) + -4. Let h = 15 + r. Sort h, -4, 134 in ascending order.\nAnswer: -4, h, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 2*(sqrt(35)\/sqrt(5))**2 + sqrt(7) + (-1*sqrt(70) + sqrt(70))\/sqrt(10) + 1 - (-1*-5*sqrt(7) - (3 + sqrt(28))).\nAnswer: -sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63041 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11856*s + 11862*s + 1015 - 1832 in the form u*s + f and give f.\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65f (base 16) in base 11?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3*i + 1. Let s be p(4). Suppose s*k = 4*j - 49, 2*j - 8 = 2*k + 14. Suppose j - 58 = -4*n. Calculate the greatest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29804186 is divided by 3258.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 10 + 3*c - 14. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/275056 and -61\/378202.\nAnswer: 3025616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5543 divided by -3093\nAnswer: -5543\/3093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*o + t, -5*o = 3*t - 2*t + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189 - (-5 + 45)) + -112?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2264606 by 15511.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 13*g - 6. Determine k(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**5\/20 + 5*k**4\/12 + 2*k + 1. Let v(c) be the first derivative of q(c). What is the third derivative of v(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*z - 44*z - 32. Let o(r) = 7*r**3 + r**2 - r. Calculate the lowest common multiple of o(1) and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 2*l**4 + 0*l**3 + 140 + 2*l**2 - 2*l - 13 + 2*l**3 - 19 to the form o + k*l**3 + f*l**4 + z*l**2 + d*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*r = -415*r - 2140 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -14954*y + 478532. Calculate n(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.9 - 47. Let w = 2.23 + n. Let k = w + 16.07. What is k rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -32.0025. Let v = i + 0.07. What is v rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 70 = -3*p. Let y be p\/(-55) + (-62)\/(-22). Suppose 7 = 6*q - 5. Solve 3*f - 17 = 4*w, -q*w = 3*f + y*w + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 - -228. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151.8 and 6?\nAnswer: 910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43555853 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.02152 decades?\nAnswer: 90.2152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-9))\/(-1)*-15. Let m be (18\/(-63))\/(d\/7). Do 0 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -8. Suppose -48 = 5*z - z. What is the remainder when c is divided by 30\/(-9)*z\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 298 - h**3 + 298 + 16*h**2 to q*h + f + m*h**3 + a*h**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-18)\/24). Let n(m) = -m. Let l be n(-3). Let r be g - l\/(15\/(-7)). Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293 + 447. Let y = v - 109. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - v - 1. Let l be -4*3\/(-6) - 6. Let w be (4\/(-3))\/(l\/(-12)). Let y = 3 + w. Calculate p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.57985 times -0.3?\nAnswer: 1.373955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98433 * -8091.\nAnswer: -796421403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from aavo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let t(j) = 4*j - 3. Let p be 1 + (9 - 2\/2). Let v = 7 - p. Calculate v*t(c) - 6*u(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 26. Suppose 4*l - s - 2*s = 8, -4*l - s = -w. Factor 4 + 2*x**2 - 109*x + l + 117*x.\nAnswer: 2*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5, -1, 354?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -95\/1694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -26 (c) -0.3 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dueud. What is prob of sequence eudd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74)\/185*110\/(-2). What is the highest common factor of 88 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8962 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3635*(26\/(-40) - (-1)\/4). Let z = w + -1452. Let -5\/2*p**4 + 0 + 50*p**3 + 0*p - 250*p**z = 0. What is p?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = -3*f, 2*r + r - 3 = 0. Let g be (-3)\/(-12) - 405\/20. Let z = f - g. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-5)*n**(2\/29)*n**(-3\/4)\/n*n**2 assuming n is positive.\nAnswer: n**(733\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 184504853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -96 (b) -1\/6 (c) 2\/9 (d) -2 (e) -3\/91 (f) -5 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32055.\nAnswer: 3, 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 16 - 52) + 67\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.5 (c) -4 (d) 0.4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 63 = 2*n. Let l = 23 - n. Find the second derivative of -6*d - 4*d**2 + 3*d + 0*d**l wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*f - 4, 519*f - 515*f + 72 = -15*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 25. Suppose -c + 5*g = -332, 0 = -m*c - 5*g + 3*g + 1013. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4*w - 5. Let u be z(-3). What are the prime factors of (-2031)\/36*-3 - 4\/u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (8 - (-15 + -3 - -15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 a factor of 59710700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10818*f**4 + 1613*f**3 + 27851560*f**2 wrt f?\nAnswer: -259632*f + 9678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-7)\/(-21)*1). Let b be (2\/(-6)*1)\/(2\/(-12)). Let m(o) = 0*o**2 - o**3 + 3*o**b - 1 + 7*o**3 - 5*o**3. What is m(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 + 431 - 202 - f**3.\nAnswer: -f**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63607 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 247*m**2*p**2 + 57*m**2 + 164*m - 107*p**3 + 1 with respect to p.\nAnswer: 494*m**2*p - 321*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g = 44*g + 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - -4) - (-386 - -386)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -312. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(34)\/(sqrt(12)\/sqrt(6)*-6))**2.\nAnswer: -91\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let b(f) = -98*f - 3. Let z(k) = 98*k + 4. Suppose 0 = -a - 2*a + 9. Let j(h) = a*z(h) + 4*b(h). What is j(n(u))?\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 65, 0, -3 in increasing order.\nAnswer: -3, -1, 0, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12*s**7*s)**48 assuming s is positive.\nAnswer: s**960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/110 + 1917\/770. Factor -36\/7*u**2 - 3\/7*u**5 - d*u**4 + 0 - 39\/7*u**3 - 12\/7*u.\nAnswer: -3*u*(u + 1)**2*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 83 = -4*s - j, -34 = -2*s - 5*j. Calculate the remainder when 70 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -182570*6\/(-12) - 4*(-5)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 418, 813, 1196, 1573, 1950?\nAnswer: 2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zflzzszzleslezfsfzz. What is prob of picking 1 l and 1 s?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1. Let i(d) = 2*d**2 - 2*d + 10. What is -6*a(y) + i(y)?\nAnswer: 2*y**2 - 2*y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 18764, -2\/11, 0.2, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5785*v - 151155. What is q(-26)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -183.\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 128*v**2 - 5*v + 48. Let t be k(-12). Round t to the nearest one hundred.\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 51 = 3*f, 236*f - 29 = -d + 234*f. Solve -2*o + 11 = -t, 4*t + d = -5*o + 68 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -44, -93, -162, -251, -360, -489?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Suppose -3*t = -k*t. Suppose 5*m + 105 = -5*f, 47*f - 49*f = -16*m - 264. Is t smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:06 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (19\/171 - (-2 - -8)*(-10)\/(-6)).\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002815 rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 2. Let f = 14 - 12. Suppose -f*s = -s - 2. Let m be 4\/s + (4 - 1). Calculate b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p - 5. Let u be (-16)\/(-6)*(11 + p). Suppose 0 = -2*v - 3*s + 74, -290*s = v - 292*s - 30. Is u equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -z + 33, z - g - 1 - 24 = 0. Suppose 0 = -z*b + 24*b - 55. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2156749 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -7782456.\nAnswer: -7782462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 8*f - 7994. What are the prime factors of f?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74459720 - 4.\nAnswer: -74459724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + 4*(sqrt(153) + 0 + -4))*-6*-6.\nAnswer: -612 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7027319 to the power of 1\/2, to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1024474, 4097887, 9220240, 16391533, 25611766?\n\"Answer: 1024470*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125580 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3897, -3881, -3839, -3759, -3629, -3437, -3171?\n\"Answer: 2*g**3 + g**2 - g - 3899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:57 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 80 + -3 + 28.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 29*g**2 - 2*g + 5. Let l be (96\/288)\/((-1)\/9). What is the hundreds digit of z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 189, 1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or 140?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + -459. Let n = 498.011 + t. Let k = n - -14. What is k rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -2 + sqrt(77)\/(sqrt(7)*2).\nAnswer: -2 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1927 = 5*f, -4*f + 0*f = -4*v + 2564. Let h be v\/(-12)*40\/(-15). Let y = -73 + h. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 8*b**2 + 7*b + 2. Let x(z) = -z**3 - 2*z**2 + 1. Let i be x(-1). Let v be (i + 2)*7\/(-2). Let l be f(v). Solve h + l = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**4 + 88*g**3 + 90*g**2 + 3*g. Let l(c) = -40*c**4 + 705*c**3 + 720*c**2 + 25*c. Let h(s) = -25*f(s) + 3*l(s). Determine x, given that h(x) = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 21?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340 + -333. Calculate the remainder when (-1)\/((-11)\/(-12) - 1) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 2*o + 0*o)*((0 + 0 - 1)*(0 - 3 - 2)*(1 + 0 + 2) - 2 + 2 - 4)*(-29*o**2 - 141 + 141) to the form l*o**2 + r*o**3 + x*o + i and give r.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 11*b - 8*b)*(18 - 22*b**2 - 18)*(1 - 1 + 2*b).\nAnswer: -220*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 104. Solve 4*j - 15 = -q*a - 43, -8 = 2*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1458*a**3 - 286*a**2 - 24*a - 8. Let y(s) = -s**2 - 6*s - 2. Let g(w) = -d(w) + 4*y(w). What is the third derivative of g(k) wrt k?\nAnswer: -8748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -20. Suppose t*x = n - 2, 3*x = n + 2*x - 14. What is the remainder when 65 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10396.\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2671802 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2503949 and 87638212\/35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -120520000 rounded to the nearest 1000000?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m + 4 + 6*m - 4*m. Let q be o(-7). What is the remainder when 16 is divided by (2*q\/(-4))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let b = -1.9 + 0.9. Let z = b - l. What is the third smallest value in z, -5, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 28*v**2 + 2*v - 53. Let i(a) = -3*a**2 - 168*a - 137. Let q be i(-55). Determine r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.675 * 673.\nAnswer: -88617.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2112 - 1440. Let h = d + 1433. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -330?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 621690507 to the power of 1\/2, to the nearest integer?\nAnswer: 24934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-846)\/282?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-89*h + 3*h + 7*h)*(0 + 4 - 2) + 2*h - 5*h + 2*h)*(-12 - 8 + 6) to a + n*h and give n.\nAnswer: 2226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 185*s + 600.\nAnswer: -5*(s - 3)*(s + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u. Let l(k) = 5*k + 43. Let j(r) = 4*r + 39. Let g(x) = -6*j(x) + 5*l(x). What is g(f(q))?\nAnswer: -12*q - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17868976 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001212 (base 3) in base 8?\nAnswer: -10510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-975)\/(-26)*(-6540)\/9*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -12. Let r = -315 - -317. Is r at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009321952 to 7 decimal places.\nAnswer: -0.0009322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -6 - (28 + -30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17876)\/(-60) + 4\/60 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*g**4 + 4*g**2*i + 4*g*i + 47*g wrt g?\nAnswer: -408*g**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -1.2. Let d = i + 0.95. Which is the smallest value? (a) -5\/6 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 26. Suppose 3*a = 4*z + 241, 5*a = 4*z - f + 447. What are the prime factors of a?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - -11 - (6 + -6) - 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 5*h**4\/6 + 326*h. Let g(v) = 36*v. Calculate g(b(f)).\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7424724*v**3 + v + 9935513?\nAnswer: -22274172*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 11, -1, -22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15968 divided by -120?\nAnswer: -1996\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1410)\/1034*6\/15*1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 2. Suppose -4*t + 159 = -0*d + c*d, 5*t - d = 235. Suppose 5*z + 6 = t. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923403 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39708?\nAnswer: 2, 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8226062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*h - 145713 = 27047 + 16110. Calculate the lowest common multiple of 404 and h.\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/48918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1509*y**3 + 379909*y**2 - 379909*y**2)*(-3*y + 3*y + y).\nAnswer: -1509*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.03, -4\/3, -2\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/3)*m)\/(m*m*m\/(m*m**13\/m)*m))\/(m**(-7\/2))**(-33) assuming m is positive.\nAnswer: m**(-641\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 315223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-337)\/(-4381))\/(22\/26).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - v + 0*v + v + 5 + 5*v**2. Let h be m(-4). Suppose 3*t = -4*a + 49, 0 = 5*t - 3*t - 2*a - 56. What is the highest common divisor of t and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*t - 17, 26*t - 29*t + 3*g = -9. Solve 2*p = t*w - 0*w + 14, 2*w - 18 = -4*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122663 (base 8) in base 3?\nAnswer: -2011012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -177 * 0.2\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1522815 (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031126459853 to four dps.\nAnswer: -0.0311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:53 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 - -286. Calculate the smallest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5 in increasing order.\nAnswer: -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/36 and 59\/280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 17, -8 in increasing order.\nAnswer: -8, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2119 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 1. Let h(g) = 16*g**2 - 7. Determine 2*h(i) + 14*n(i).\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 36 - 36. Let y = h + 10. Suppose -150 = 25*t - y*t. What is the remainder when t is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0, -0.1, -4, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -10*f**3\/3 + 14*f - 7. Let o(y) be the third derivative of -y**4\/8 - 66*y**2. Determine w(o(q)).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 3*p**3 - 3*p**3 + 9*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 1. Let q(k) = 17 - 22 + 13 + 14*k + 2*k**2. Let a be q(-7). Suppose 0*y + y + 16 = 5*b, 0 = -3*b + 5*y - a. Calculate t(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(605))**2 + -2*sqrt(605)*1 - (1 + 2 + sqrt(605) + 3*sqrt(605))**2.\nAnswer: -9075 - 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 9*q + 3 = 12*q, 5*j = -5*q + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0512 from 4360.87.\nAnswer: 4360.8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*r - 6*r**2 + 7*r)*(6*r + 2 - 9*r + 4*r) to x + n*r + j*r**3 + c*r**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304 and ((-38)\/(-6))\/(226\/9492)?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*d + 3*q, -d + 2*q = -0*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17\/3)\/((z*z**30)\/z) assuming z is positive.\nAnswer: z**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*u, 43 = 3*o + 4*u + 41 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 3*k**2 - 700 + 1857.\nAnswer: -k**2 + 1157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/8, -0.01, 2\/11, 2, 25378?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + o + 4 + 23 - 2*o.\nAnswer: 2*o + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1539) + -2)*-1 + 5)**2 + -1 + 5 + -4)*2.\nAnswer: -1008*sqrt(19) + 12704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2000)\/3)\/((-35)\/(-77490)). Round i to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 + -1243\/9. Calculate the common denominator of j and 56\/175*(-10)\/4.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2*h**5\/15 + 3*h**4\/2 - 40*h**3\/9 + 4*h**2 + 632. Factor y(m).\nAnswer: -2*m*(m - 6)*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 + -125. Suppose 2*k = -t - 1, 3*k + 4 = k + 2*t. Let o be (-2)\/(k + (-3 - -2)). Solve 4*n + w + 5 = 0, 2*w - o = -v*n - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -5761?\nAnswer: -5765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 27\/806?\nAnswer: 27\/806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 0.3, -80, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2658, -5, -779, 1, 7 in decreasing order.\nAnswer: 7, 1, 0, -5, -779, -2658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.98719 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2318\/25 or 92?\nAnswer: 2318\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -91. Solve s - 2*s + 4*g + 5 = 0, 3*g + 7 = l*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:41 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {f: 1, c: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 + 3*o**3 + o**3 - 2*o**2 + o**3 + 18 to w + s*o**3 + f*o + x*o**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25103b3d - 2?\nAnswer: -25103b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 8*u + 2. Let x(m) = 2*m**2 - 9*m - 2. Let p = -63 - -60. What is p*x(w) - 4*y(w)?\nAnswer: 2*w**2 - 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 82513200 to the nearest one hundred thousand.\nAnswer: 82500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*m - 12*m, 2*q - 4*m = 15562. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770481181 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 p be (-35)\/21*4\/(-30). Let w = -4.1 - -0.1. Suppose j - 2*l + 17 = -4*j, 2*j + 3*l + 22 = 0. Sort w, j, p.\nAnswer: j, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 + (-2 - 0) - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*0.089\nAnswer: -0.2492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.664 - 74. Let i = 0.34 + x. What is i rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 + 37*m + 34. Calculate d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6602.365 to 0 decimal places.\nAnswer: 6602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Suppose -3*i = 5*m - 124, 89 = 5*i - m - 155. Suppose -4*q - p + 88 = 6, -s*q + 3*p = -i. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.1, -3, 3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87741 at least as big as 2456721\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1401?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 10 = -3*n, -b = 4*b - n - 6. Let w be 0\/(b - -1 - 5). Suppose -m - 2*m + 60 = w. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*q = -7 - 4, 25 = 5*q. Solve 9 - 3 = m*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - -60. Factor 12*w**4 + 9*w**3 + 5*w**5 + 2 + 78*w**2 - 2 - g*w**2.\nAnswer: w**2*(w + 1)**2*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c**3*d**4 + 46*c**3 - 2*c*d**3 - 2611*d**4 - 4*d**2 - 68 wrt d?\nAnswer: 216*c**3*d - 12*c - 62664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 150 = 5*l. Suppose -j + l = 2*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(18 - 17) + -25\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 463 - 1083. Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7917 - 7897)\/(4\/(-9))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 12*g - 3. Let b be y(-5). Suppose -272 = b*z - 1021. What are the prime factors of z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -21*h - 5. Let g(q) = 11*q + 3. What is 5*g(x) + 3*m(x)?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*z + 2, z + 15*a - 13*a = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*h = 2965*h - 167056 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 19*n - 3. Let j be f(-26). Let d = j - 135. Calculate the remainder when 185 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 divided by 2?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 738.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**2 + 295*p - 53. What is b(49)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/2 - 28. Let i = -64 + 383\/6. Which is the nearest to 1\/8? (a) f (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23556 less than -23555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1072 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = 4*g. Let c be (-3 + (-3 - g))\/(-1). Suppose c*p + p = -12. Put p, 2, 5 in ascending order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247483 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + f = s + 14, 4*s = 2*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1 + 0) - (-3)\/16. Is v at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 1, v: 8, o: 2, l: 1, m: 2}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239442.\nAnswer: 2, 3, 7, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -59718\nAnswer: 1\/19906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.054 (c) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718800191.\nAnswer: 3, 139, 241, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/5, 18832, -8\/17, 0 in increasing order.\nAnswer: -16\/5, -8\/17, 0, 18832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 10*x**2 + 5*x - 5. Suppose d - 3*d + 40 = -4*u, -5*d + 3*u = -100. Let y be -7 + ((-8)\/d)\/((-1)\/(-5)). Is g(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8918160 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 - 0.09. What is the biggest value in g, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004419 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3131679 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 - w + 0*w - 7*w wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.2040962.\nAnswer: -0.04081924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/42)\/(64096\/(-28042)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102444*b**2*w + 185*b*w - 2*w + 237 wrt b.\nAnswer: -204888*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5350, -10586, -15820, -21052, -26282?\n\"Answer: b**2 - 5239*b - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.554 and 1.631?\nAnswer: 0.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 m when three letters picked without replacement from igmrs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1324*y + 1310*y - 2619*y)*(1 + 1 - 3) in the form w*y + v and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 24.04541cm?\nAnswer: 240454.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-24) - 3\/12. Solve g = 3*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, g: 5}. What is prob of sequence ggwg?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23040 + 21?\nAnswer: 23111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/7)\/k*k*k)**(-18))**(-1\/14)\/(k**(3\/8)\/(k**8\/k*k)*k**(1\/3)\/(k*k**(3\/5))) assuming k is positive.\nAnswer: k**(63083\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 1. Let x = 1 + l. Calculate the smallest common multiple of 4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**12\/r)\/r*r**(-2\/27)\/r)\/(r**(1\/3)\/(r\/r**(-16)*r)) assuming r is positive.\nAnswer: r**(745\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/20 + w**4\/12 - 3*w**3 - 134*w**2. Differentiate q(f) wrt f.\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9845 and 173.\nAnswer: -1703185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196759223766 - -3.\nAnswer: -196759223763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**3 + 6*o**2 - 5*o. Let h(p) = 2*p**3 - 689*p**2 + 696*p**2 - 6*p - 8*p**3 - 6*p**3. Determine -5*h(w) + 6*k(w).\nAnswer: -6*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 55 = 83. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**8\/336 - o**6\/45 - o**3 + 7. Let k(r) be the third derivative of g(r). Find the third derivative of k(u) wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let u(f) = -12*f**2 + 41*f + 4. Let g(z) = -28*z**2 + 83*z + 9. Let y(i) = 4*g(i) - 9*u(i). Calculate h(y(m)).\nAnswer: 16*m**4 + 296*m**3 + 1369*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 347099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 1402*y\/3.\nAnswer: 2*y*(y + 701)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3*q**4 + 2 + 6 - 2*q**2 + q**4 to o*q**3 + r*q**4 + t + z*q + a*q**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 4*w**2 + 5*w - 3. Let k(i) = 3*i**3 - 5*i**2 - 6*i + 4. Let o = -21 - -18. Determine o*k(p) - 4*m(p).\nAnswer: -p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - -12) + 24 + -35 + 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4215 - 4205 = -n + x, -3*n + x - 40 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p - 12. Let k be h(0). Let t be k - (-9 - -3 - -3). Let n(s) = s + 11. Let q be n(t). Which is the biggest value? (a) 3 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g + 390982 = -15*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -105?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -26*11\/22 - -17. What is the nearest to 1 in -1\/7, -0.5, c, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7))**46*(x\/((x*x**1)\/x))**(-10\/7) assuming x is positive.\nAnswer: x**(414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 53*f**6\/120 + 79*f**5\/60 + 75*f**2. What is the third derivative of l(p) wrt p?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -0.12, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-4))\/((-3)\/(-12)))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 25*b + 548. Calculate the smallest common multiple of n(11) and 7.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18090)\/(-72))\/((-15)\/(-80)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 6*w - 9*w + 9*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + 546. Suppose 2*s - p = -5*p - z, -615 = 2*s - 5*p. Find the common denominator of 24\/80*s\/(-12) and 29\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 12 = 8*c. Let s be 8 + 3 + 1 + c. Let h = s - 1. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0645 and 5089759734?\nAnswer: 5089759733.9355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 129*i + 3158. What is k(-16)?\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 0, -2*w - 5 = -4*p - 1. Suppose 0 = -r - k + 4 + 5, 2*r - w*k = -12. Calculate the highest common divisor of r and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.6, -20, 1\/10, 1\/4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*p + 4*p + 18, 2*p = 10. Suppose b = -3*s - 4*s. Is 3\/8 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, x: 3}. What is prob of sequence xbx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24175\/17302 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 1. Let n = 8 + 0. Calculate the smallest common multiple of h and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*t + 30 = -0*w, -3*t - 22 = -2*w. Suppose 0 = w*y + 7 - 127. Let m be (-9)\/(-12)*(-208)\/y. Is -6 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.043054 + 5?\nAnswer: 10.043054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -7 - (3 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 5) to base 16.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*c**2 + 15*c**2 - 86*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228.6 less than 12488776537?\nAnswer: 12488775308.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243036 and 131580?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.377 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/180 + j**5\/10 + 3*j**4\/4 + 5*j**3\/6 + 2*j**2. Let f(a) be the first derivative of l(a). Factor f(d).\nAnswer: 2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.09675 decades to years.\nAnswer: 790.9675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/257220 and -61\/2940.\nAnswer: 12603780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 226, -1\/4, -2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00179259753 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0645367 + 22.\nAnswer: 21.9354633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - j - 53 = -0*j, -51 = -4*l - j. Let y = l + -9. Suppose 3*h - 16 = -y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.217 (b) -3\/62 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - 1. Let h(g) = 133*g**2 - 66*g**2 - g + g - 66*g**2. What is -a(q) - 4*h(q)?\nAnswer: -8*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*n + 6 - 4 = 2. Solve n = -12*s - 3*s + 90 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 6, 5*b + 5 = -j + 2*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q - 185*q = -45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 101\/11 + (-16)\/88. Suppose -m + 4*m = o. Suppose m*w = w. Solve w*z - 2 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (126\/(-175)*-20 - 9). Solve -14*p + 13*p = 5*u, 0 = 4*u - g*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/30968 and 15\/5243.\nAnswer: 3313576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97652 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b4 (base 15) to base 4.\nAnswer: 31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -1, -185.\nAnswer: -185, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102488*p = -102466*p - 638. Which is the biggest value? (a) p (b) -0.4 (c) 0 (d) 0.1 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13260*p - 989. Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108852*f + 108845*f + 171 = 2*i, 4*i + 2*f = 66 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695183661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, and 1 v when three letters picked without replacement from {v: 5, k: 1, x: 3, e: 7}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401528012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let s(m) = 1 + 11*m**2 - 1. Calculate s(d(i)).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -5*g**4\/4 + 5*g**3\/3 + 10*g**2 - 20*g + 6. Solve c(t) = 0 for t.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363\/(-242)*4\/(-93)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4275851281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 45 + 228*f**3 + f**3.\nAnswer: 229*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -20321 - 7006 - 1880 + 2*q**2 - 2666 - 13475 in the form k*q + i + f*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11.428 - -0.48\nAnswer: -10.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1958)\/(-110) - 27) + 2\/(1*10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005703647877 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 12*g - 27. Solve -g = -2*q - 2*j, 1 = q + 2*j - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + x**3 - 4*x**2 - 3*x**3 - x. Suppose -2*p + 19 - 9 = 0. Is v(p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18) - (-316)\/24. Solve 0 = -a - 0*a - 5*c + x, 4*a + 11 = c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let c = -30 + 33. Suppose -2 - 24 = -c*w - 4*r, 4*w - 4*r + 12 = 0. Solve -f + p*h = h - w, -12 = 5*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 911 by 56.\nAnswer: 911\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/36)\/((-4)\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7 + 3*l - 1 - 4*l. Let u be i(3). Let h(g) = 5*g**2 + 5*g + g**u - g + g + 6. Determine h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 + q - 1. Let p(b) = -1596*b**2 - 4*b + 1698. Let w(h) = -4*k(h) - p(h). Differentiate w(a) with respect to a.\nAnswer: 3160*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 10*y + 5. Let o be x(10). Is -2 - (o + -22163)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1 + 5 - 1 + 3*f. Let y be u(1). List the prime factors of 1544\/32 - -2*(-1)\/y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -10. Let k = -6.7 + n. Let r = -1.8 + k. Which is the smallest value? (a) r (b) -0.4 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 28\/87, 1\/3, -0.1, 26\/11?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-5*sqrt(550) + sqrt(550)))\/sqrt(11))\/(-4*(sqrt(10) + -2*sqrt(10)*6)).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 18, 10198\/41?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-2 - (4 - 1) - -10) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -46, -113, -226, -397, -638?\n\"Answer: -2*s**3 - 5*s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 7. Let f be m(3). Suppose -3*j - f*s = -259, -5*s - 324 - 33 = -4*j. Factor 19*o**3 - 10*o - 36*o**2 - j*o**3 - 2*o - 21*o**4 - 24*o**2.\nAnswer: -3*o*(o + 1)*(o + 2)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:56 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1300 and 104?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-34933)\/5430 + 3\/30\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2923 + 2928. What is the nearest to 9\/5 in -4, c, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10219 and 0.1?\nAnswer: -1021.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80 + 453*p - 463*p - 24*p**2 + 94.\nAnswer: -2*(p + 1)*(12*p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/5)*x)\/x**15*(x*(x*x**5*x*x*x*x)\/x*x)\/x**(-21))**(-2\/5) assuming x is positive.\nAnswer: x**(-172\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-9) + -2)\/((-9)\/135). Let t be -1 + 9 - (0\/(-5) + 3). Calculate the greatest common factor of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920) + (sqrt(1920) + sqrt(1920) + sqrt(1920)*-1 + sqrt(1920) - sqrt(1920) - sqrt(1920)))\/((sqrt(6)*2 - sqrt(6))*6) + ((sqrt(20) + 2 + 3)*-4)**2.\nAnswer: 964*sqrt(5)\/3 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 + -3.16. Let m = q + 1. Put 1\/2, -0.2, m in increasing order.\nAnswer: m, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188512 and 70692?\nAnswer: 565536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156380*h*k**5 + 7*h*k**4 - 81414*h*k + 5*h wrt k?\nAnswer: 3127600*h*k**3 + 84*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1329 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4411 is divided by 733?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - 0.6. Let r = -0.741 + t. Let m = r - -0.061. What is the nearest to 0.2 in m, 3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-26)*(-1104)\/2990.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7091.81 to the nearest one hundred.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 = 4*a - 14*a - 11*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let b be 42\/8 + 9\/(-36). Suppose b*d - 4 = 6. Sort d, f, 0 in decreasing order.\nAnswer: d, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*a + 5*y - 9, -3*a - 19 = y. Let o(d) = -3*d + 0*d - 12 + d. What is the units digit of o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 548.4956m?\nAnswer: 548495.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920 divided by -160?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*f - 0*f - 2, -4*f - u = 0. Suppose -4 = -4*h + 4. Let l = h + f. Let i(o) = -4*o + 3. Calculate i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7548 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 158, -5, 1 in increasing order.\nAnswer: -5, 1, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.4 - -12. Let n = 0.01 - -0.29. Let i = q - n. Sort i, 5, -0.3.\nAnswer: -0.3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/360 - t**5\/40 + 2*t**3\/3 + 5*t**2. Let d(h) be the first derivative of l(h). Find the second derivative of d(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c - 180 = 0. Let w(m) = 7*m**2 - 447*m + 3073. Let b be w(7). Is 37 a factor of (b\/(-21))\/(3\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12*j**3 + 3*j**2 - 6*j - 7. Let s(p) = 25*p**3 - 6*p**2 + 13*p + 15. Let i(x) = -108*x**2 + 545*x - 19. Let c be i(5). Determine c*s(l) + 13*u(l).\nAnswer: -6*l**3 + 3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/8 - 24813*i\/2 + 615684969\/2 = 0 for i.\nAnswer: 49626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/24001 and -29\/4536189.\nAnswer: 4536189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/(((-3)\/(-4))\/1). Suppose -o*c - 5*c = 483. Let y = c + 69. Solve y = 4*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-2)*h)\/h*h)\/h**(-3\/4))\/(h**(2\/19)\/(h\/(h**(2\/17)\/h*h))) assuming h is positive.\nAnswer: h**(1973\/1292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2. Let g = -79 - -81. Let i(k) = -1 + g*k - 16*k + 2. Determine l(i(j)).\nAnswer: -196*j**2 + 28*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7958 and 66259.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4956, 19958, 44962, 79962, 124952, 179926, 244878?\n\"Answer: -s**3 + 5007*s**2 - 12*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-3 - -1) + (-1 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 > 40146\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25176 divided by 8?\nAnswer: -3147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + j**4 - 4*j**4 + (0*j + 4*j - 2*j)*(-3*j**3 + 6*j**3 - j**3) + 6*j**4 - 2*j**4 - 5*j**4 + (0 + 0 + 2)*(-4*j**4 + 0*j**4 + j**4).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -b?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -38 + -8 + 46 + -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667249 >= 1667247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hffhtzmd. Give prob of picking 1 m, 1 d, 1 h, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {j: 1, t: 3, p: 1, a: 3, l: 1, y: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 18 = -55 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/(-1066) + (-17)\/(-117). Let n = 1.3 + -1.5. Which is the second biggest value? (a) n (b) -2\/17 (c) r (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 517204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/21 + 92*n**2\/7 - 282*n\/7.\nAnswer: 2*n*(n - 3)*(n + 141)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*9\/(-4)*(-4)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.16 * -1582\nAnswer: -12909.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13333300 + 202010?\nAnswer: 20201310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u = 18*u + 70 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f**2 - 2*f. Let l be n(-3). Let m be 18\/(-27)*(-3)\/(-11) + 285\/55. Suppose m*r + 4*x = 6*r - l, 243 = 2*r + 5*x. Does 43 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m - 36. Let k be b(4). Suppose -4*g + 3*v = -1439, -5*g + k*g + 4*v + 1799 = 0. What are the prime factors of g?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 6. Let b be k(-6). Suppose -b + 23 = -5*d. Is d bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3267*o + 4702. Let i(z) = -9802*z + 14118. Let h(t) = 2*i(t) - 7*m(t). Find the first derivative of h(v) wrt v.\nAnswer: 3265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 50 = -6*y + 3*g, 0 = -5*y + 2*g - 45 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -3) + 6\/(-10). Solve -2\/5*o**2 + y*o + 4\/5 = 0 for o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*o - 103*o = -18084 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -1.5. Is d equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13257 + -8459. What are the prime factors of n?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -98*r**3 + 2*r**2 - r - 1. Give p(-1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 1\/6, 7, -21 in decreasing order.\nAnswer: 7, 5, 1\/6, 0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6*b**2 - 58 + 48*b + 65*b - 5*b**2 + 36 as y*b**2 + u + x*b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -118.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 2*h**2 + h**2 - h - 4*h**2 + h + (1 - 1 + 2*h)*(-3*h + 3 - 3).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 + 5968*z\/7 + 98352.\nAnswer: 4*(z + 126)*(z + 1366)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 5*c - c)*(-2 + 2 - 2*c**2) + (-1 + c**3 + 1)*(-66 - 2 + 10) as p*c + w*c**2 + s*c**3 + j and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18736 is divided by 5609?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1431626 and 2417.\nAnswer: -1429209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/(8\/(-12)). Let l be 7\/(t + 1 - -1). Suppose -4*x + 21 + l = 0. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -6*u + 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 431940 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 31 = 2*g, -3*g + a + 79 = -4*a. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(330)\/(sqrt(44)\/sqrt(4)))\/(-2*sqrt(1210)).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*2\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*w + 49, -2*x + 103 = -8*w + 3*w. Let n = -25 - w. Let u be -1 + (n\/9)\/(6\/(-9)). Put 5, -1, u in decreasing order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430872812 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(-2)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (12 - (-2 - -19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:43 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 575 - 496. What is the second derivative of d*v - 28*v**3 + 235*v**3 - 18*v**3 - 73*v**3 wrt v?\nAnswer: 696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - -4 - -2 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 644?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(0 + 3) - -1. Find the second derivative of 13*d + 4 - 1 - 6*d**m - 3 wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6037*y**3 - y**2 - y - 1. Let g be c(-1). Is (-5)\/(-1)*g\/60 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*b, 9 = 3*k + 3*b. Let a(d) be the second derivative of 2*d**3\/3 + 5*d**2\/2 - 17*d + 4. Let s(r) = -11 - 7*r - 3 + 5. What is k*a(i) + 3*s(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.244 - -2.114. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 142. Differentiate -146*k - j + 128*k - 11 + 2 + k**3 with respect to k.\nAnswer: 3*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98456 and 41416.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {e: 2, q: 1, r: 1, w: 6, y: 3, l: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2481.599? (a) -0.3 (b) -2\/13 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 + 655108*p**3 - 2*p**2 + 196960*p wrt p?\nAnswer: 48*p + 3930648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42150858 divided by -6?\nAnswer: 7025143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 5499013291.\nAnswer: 5499013291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247414 is divided by 244?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, y: 1, l: 1, d: 1, u: 2, g: 4}. Give prob of sequence dyl.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, g: 1, x: 3, v: 3}. What is prob of picking 1 n, 1 h, and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-2)\/(-4))\/(7\/4*(-10)\/(-4130))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 + 16 = 2*k, -6 = 2*k + 4*x. Let n be ((-1)\/5)\/(k\/(-5)). Let w = -15 - -10. What is the smallest value in w, n, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o**3 - 24571702446*o**2 + 24571702446*o**2.\nAnswer: -34*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11353 and -16.8?\nAnswer: -190730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 633 + -629. Let s(q) = 9*q + 6*q + 0*q - 4*q - u*q. What is s(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - (-2 - 2 - -6). Let d be 1\/(-1)*(-15 + 12). Sort 0, s, d in decreasing order.\nAnswer: d, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 3*p + 2*p - 239 - 3*p to y*p + f and give f.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18. Let l(i) = 210. Let d(v) = -l(v) + 12*q(v). Let b(n) = -n. Give -2*b(f) + d(f).\nAnswer: 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.048.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29002 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14638411, -29276753, -43915095, -58553437, -73191779, -87830121?\n\"Answer: -14638342*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8295869 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.05 - 0.05. Let v be (-3)\/(891\/44)*9\/6. What is the smallest value in -1\/2, i, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:52 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 8550747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 7083648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + 0*w)*(7*w - 17*w + 14*w) - 60*w**2 - 17*w**2 + 21*w**2 + (-4*w**2 + 4*w**2 - w**2)*(2 - 5 + 2).\nAnswer: -47*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8\/3)\/k*k*k**(-4))\/(k*k**(-1\/14)\/k*k**(-1\/17)) assuming k is positive.\nAnswer: k**(-3953\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 531.04296 + -531. What is j rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 + 2 = -274*g. Let x(f) be the first derivative of 3\/8*f**4 + g*f**5 + 0*f**2 + 0*f + 25 - 1\/12*f**6 + 1\/3*f**3. Let x(w) = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, h: 5}. What is prob of picking 3 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 5 - -1)*-8. Suppose h = q + 25. Calculate the remainder when h is divided by (-2)\/4 + (-360)\/(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 5*g - 21, 0 = -5*a - 3*g + 17. Suppose 5 = -a*j + 1. What is the units digit of (-3)\/3*j*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 4*w**2 + 4*w. Let t(c) be the third derivative of c**6\/60 + c**5\/12 - 5*c**4\/24 - 7*c**2. Give -4*t(r) - 5*x(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + d + 3*d + 271 = 0, 2*m + d = 98. Suppose -m = -3*k + 2*k. Calculate the remainder when k is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 720 - 510. Suppose -18*q = -3*q - w. Solve 6 + q = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 smaller than 521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-2 - -1) - 1. Let n = m + 9. Suppose -183 = -n*t + 247. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70751 + 70751. Let y(w) = -2*w - 7. Let z be y(-6). Solve f - z*o - 5 = -10*o, 5*f - 2*o + 2 = b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7157? (a) 2 (b) -0.3 (c) 0.1 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(720) - (sqrt(720) + sqrt(720)*-2)) + 1 + sqrt(720) + 1)**2*-3 - ((3*sqrt(50)*-6)\/(sqrt(90)*2))**2.\nAnswer: -19560 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.0853?\nAnswer: 0.02559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 19*q - 17*q - 4, 2*q = -2*b + 4. Solve -2*l + 0 + b = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-865)\/(-10)*6 - 0\/1. Let k = -391 + i. What is the greatest common divisor of 144 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -f, -5*f + 232 = 10*w + 227 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (32\/12)\/2*(-18 + 24)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 - 245. Let y be 18\/4 + (-1)\/(-2). Factor -6*g**3 - y*g + 9*g**3 + 2*g**t.\nAnswer: 5*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 + -215. Solve 0*u + u - 15 = -3*h, 4*u + 4*h - 28 = i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1980 - 87. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2970 = 5*y + 2790 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 19*y = 14*y + 30, -5*r = 2*y - 50. Solve 0 = -25*h + 15 + r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-2\/7))\/n*n*n)*n*n)**7\/(n*n*n*((n\/n**0)\/n*n)\/n)**1*n**3\/n**4*(n\/(n*n**(-6)*n))\/n**(1\/11) assuming n is positive.\nAnswer: n**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7759, -8059, -8359, -8659, -8959, -9259?\n\"Answer: -300*a - 7459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 + c - 3. Let f be d(6). Let m(g) = -5*g - 1 - 7*g**2 - 3 - f. Let i(x) = -2*x - 2 - 4*x**2 + x**2 - 1. What is 5*i(w) - 2*m(w)?\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) 0.05 (c) -4\/33 (d) -0.1182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and -27\/218.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.01, 0, -5, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/4))**7\/(s**11\/(s\/((s**(8\/5)*s)\/s))) assuming s is positive.\nAnswer: s**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, 1, 1\/4 in increasing order.\nAnswer: -28, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 0 = -3*v + 5*c - 0*c + 288. Calculate the remainder when v is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1805 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, f: 2, t: 2, c: 1, m: 2, w: 2}. What is prob of sequence ac?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25, 5 in descending order.\nAnswer: 5, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*d**2 - 249*d**2 + 127*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*b**3 - 77*b**3 + 0 - 69*b**3 + 0.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 - 126*a + 3*a**3 - 5*a**3 + 251*a - 119*a. Let y(f) = f**2. Give -4*y(l) - z(l).\nAnswer: 2*l**3 + l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17471\/7 - 2507. Which is greater: p or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 68?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -330, -770, -1398, -2220, -3242, -4470?\n\"Answer: -u**3 - 85*u**2 + 4*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2738*p**3 - 6403*p**3 + 56215*p**3 + 9815*p**3.\nAnswer: 62365*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/2)\/(2 - 22\/8). Solve 0 = v*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a*d**3*z**2 - 2*a*d**3 - 4*a*d**2 + a*d*z - 6*a*m*z**2 - d**3*m*z**2 + 9*m wrt z.\nAnswer: 30*a*d**3 - 12*a*m - 2*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14576 and 18967931.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*h**2*k**3*m**2 + 3*h**2*k**2*m**2 - 39*h**2*k**2*m + 1088*k**3*m**2 - 901*k**2*m wrt k?\nAnswer: 144*h**2*m**2 + 6528*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-359 + 387)\/(1\/(-5) + (-9)\/5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 69479025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**2 + 13*p - 26. Let n(q) = 7*q**2 - 9*q + 17. Give 5*g(c) + 7*n(c).\nAnswer: -c**2 + 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13779 = -53*y + 13461 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*t - 144 = 90 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1 + 0 - 1 - 1 + (1 - 3 + 0)*(-4 + 2 + 1))*(t - 4*t + t)*(2*t + t - t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o - 1. Let g(y) = 3*y. Let i(v) = 5*g(v) + 2*n(v). What is i(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718 is divided by 340?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-81))\/((-4)\/(-312)). Which is greater: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + s + 4*s - 15, -5*p - 2*s = -6. Let g = 0.1 - 0.2. Which is the nearest to 0.2? (a) 4 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 divided by -2\nAnswer: 347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 26*f**2 + 53*f + 113. Calculate a(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {x: 3, n: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85624 or -85615?\nAnswer: -85615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4))**50)**(-39\/4)\/((m\/m**1)\/m*m**(-4)*(m**(2\/9)*m)**(-44)) assuming m is positive.\nAnswer: m**(-4543\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30515)\/(-8) - 117\/312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/7 (b) 2\/3 (c) 74 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 1:06 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 47*g - 33. Give k(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586357 (base 9) in base 6?\nAnswer: 11315254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/6 + 17*b - 22. Let m(p) be the first derivative of s(p). Let w(a) = -17*a**2. What is m(w(i))?\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-4 + 7 - (-5 + 16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3125*p**3 + 1435166125*p**2 - 229626520*p + 9185060.\nAnswer: -5*(p - 459253)*(25*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 + 16*q**2 - 45685*q - 182740. Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 15 + -15 + (-63 - -15) + 2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082784071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + (-159)\/(-12) + 0. Suppose -12 = -0*p - p - c, -5*c - 76 = -3*p. Let b = p - n. Solve 0 = 2*h - b, -3*d - h + 3 = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 118*w. Let t be p(1). Suppose -n + t = n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**2 + 5. Let h(b) = b**2 - 5*b + 13. Let f(d) = 3*d**2 - 4*d + 12. Let m(n) = 5*f(n) - 4*h(n). Determine 8*j(v) - 5*m(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -410055 (c) 1\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25966, -27865, -29778, -31711, -33670, -35661?\nAnswer: -37690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 154345, 308685, 463017, 617341?\n\"Answer: -4*k**2 + 154352*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(10*b - 10*b + 4*b - 11)*(4 - 3 + 1)*(-2 - 1 + 2).\nAnswer: -8*b + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -573.9999877 + 574. Round r to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -2, -3\/20, -0.3 in descending order.\nAnswer: -3\/20, -0.3, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/80*(-19 + -173).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 152 * -373724\nAnswer: -56806048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 + n + 12. Suppose -3*k = -8*k. List the prime factors of t(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000765 rounded to six decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, h: 9}. What is prob of picking 3 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*v - 3*v - 74, 3*v = -12. Is (-1 + 4)\/(-1) - k*-2 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(-i**2 + 4*i**2 - 2*i**2) + (0*i - 3*i + 2*i)*(0 + 0 - 2*i) - 2*i + 2*i + 4*i**2)*(2*i**2 + 11 - 11)*(3 + 7 - 5).\nAnswer: 80*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(209)*-1*-2)\/((sqrt(3300)*-1)\/sqrt(3)) + -1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 2, u: 1, e: 3, n: 7}. Give prob of sequence uhn.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 134. Let t = o + 274. Suppose 0 = -8*w + 4*w + t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201212001 - -11?\nAnswer: 1201212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-15) + 2)\/((-4)\/(-18)). Let j be g\/((-15)\/25) - -10. Solve 0 = -3*p - j*a - 11 + 1, -4*a = -2*p - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217211 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 5*v + 4. Let b be c(-4). Let h(p) = 6*p**3 + p - 1. Let m be h(1). Suppose -z + 3*i + 2 = b, -m + 22 = 4*i. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 535*u**5 + 2739*u**2?\nAnswer: 32100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + 2*m**4 - 4*m + (0 + m + 0)*(m**3 + 2*m**3 - 2*m**3) + (-2*m**3 + 0*m + 0*m)*(m + m - m) - 1383*m - 98*m**4 + 1383*m.\nAnswer: -97*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:57 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 663*b - 27. Let z be s(-11). Find the common denominator of (z\/(-80))\/((-2 - -1) + -26) and 41\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 2*i**5 + 2*i**3 + (0*i**2 + i**3 + 0*i**2)*(i**2 + 5*i**2 - 5*i**2) + 7*i**3 - 5*i**5 - 7*i**3 - 1226*i + 1226*i + 114*i**5.\nAnswer: 108*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 59*y**2 + 313*y + 208. List the prime factors of h(61).\nAnswer: 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33172, -130777, -292818, -519295, -810208?\nAnswer: -1165557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/17 (b) 2 (c) -3 (d) 0.01 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104790, -209632, -314474, -419316?\n\"Answer: -104842*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/778, 0.4, 6336?\nAnswer: 1\/778","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*w + 46 - 18 = 0, -5*w + 15 = 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + -11 - ((-203)\/(-28) + -5). What is the second biggest value in -2\/15, -4, c, 0.02?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3 = -d, 39*z + 3*d - 9 = 43*z. Is z at most as big as -2\/1877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 - 4*g + 3. Calculate a(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 1197202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - 114)\/25 + (-1 - -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176*j**4 + j**3 - 90*j**2 + j.\nAnswer: 4224*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1074\/(-1253)*(-21)\/(-9))\/(8\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:10 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = z - 61, -5*x = -3*x - 3*z + 23. Let m(p) = -p**3 - 3*p**2 + 4*p. Let h be m(-5). Let j = h + x. What is the remainder when j is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322.943857 minus -0.01036?\nAnswer: -1322.933497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24827 + 26760. What is the remainder when w is divided by 120?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 6*u**2 + 7*u + 4. Give a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11957808 by 40398.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180478.8 - 0.4.\nAnswer: 180478.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/368*5*40\/100.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/15 - 2*o**4 + 7*o**3\/2 - 10*o. Let u(k) be the second derivative of b(k). Does 14 divide u(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 6. Let p(l) = 6*l - 19. Let o(c) = 4*p(c) + 11*t(c). Let u(z) = z**3 + 22*z**2 - 48*z + 8. Let i be u(-24). Determine o(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14770 (base 13) to base 7\nAnswer: -220414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -23*g + 1 + 2 - 189*g - 1. Let o be b(-6). Let h = o - -17826. Round h to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:36 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88629.43 kilograms?\nAnswer: 88629430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lodllko. Give prob of sequence llk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 866 = 33*z + 730 - 301 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 23. Let k be c(-9). Let r = k - -67. Suppose -2*f + 24 = -5*y, -2*f - 4*y = -3*f + r. Solve 0 = f*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 + 16*x + 4. Let b be n(7). Suppose -4*q + b = 10. Solve 4*z = -5*m + 21, q*m - 5*z - 25 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 22966 = -l + 3*a - 22951, 0*l + 39 = -4*l + 3*a for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w**2 + 19*w**2 - w + 7 - 3*w + 5*w as z*w**2 + i + g*w and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 4)\/6 - -35. Let h be -15*((-680)\/(-5))\/(-4). Suppose 0 = -7*l + h + t. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/39*210\/(-84)*(-12)\/(-15).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 14*a**2 + 7*a + 100. Let o be i(-14). Suppose 5*h - 9*p - 10 = -14*p, 13 = 5*h + o*p. Solve 0 = -h*c - 1 - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30814 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14461158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 58\/5, -2, -3?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.9 - 57. Which is the closest to v? (a) -4 (b) 1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -122. Let c = -42241 + 42209.951. Let i = c + m. Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21931499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -0.4. Let b = d + -2. What is the second biggest value in b, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4902 and 8987?\nAnswer: 53922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1238)\/(-3))\/((-6)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1118*o = 1123*o - 85. Calculate the highest common factor of o and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -4 - 2) + -12. Sort 1, -3, -7, f in ascending order.\nAnswer: -7, f, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 23123, -1, 5 in descending order.\nAnswer: 23123, 5, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + w. Let t(p) = 10*p**2 - 2*p + 1. Determine -7*s(b) - 2*t(b).\nAnswer: b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/27)\/(26444\/75726).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5)*g*g)**(1\/15))**(-20) assuming g is positive.\nAnswer: g**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + (-8 - (22 + -10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 5:44 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686306.\nAnswer: 2, 343153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/15)\/(1 + 1323\/(-1320)). Suppose 0 = 454*y - 462*y + d. Calculate the highest common divisor of y and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-12)\/14)\/((-2)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 8*o + 10. Let q = -23 + 23. Let s be 1\/2*(14 + q). Calculate g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + 2*u. Let l be f(-1). Solve 0 = 3*z + 12, -3*d - 11 = 3*z + l*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**2 - 25. Let z(l) = 6*l**2. Give q(z(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287.52470561 - 693870634.28470561. Let p = n + 693871310.76000461. Let r = -964 + p. What is r rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -43, 4, -17 in decreasing order.\nAnswer: 4, 1, -17, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by ((-19)\/2)\/(100\/(-32) - -3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-5))\/(12\/(-30)))\/(520\/6760).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 2*o + 4*s - 4, 3*s = -o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/7 (b) 0.3 (c) 0.2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.861 - -15.\nAnswer: 7.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:51 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 19227890.\nAnswer: 173051010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 621*t - 616*t + 15, 6*y - 3*t - 15 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27166 + 27160. Let p(l) = -4*l + 1 + 3*l + 2*l + l**3. Let n(c) = 2 + 9*c + 4 - c + c**2 + 7*c**3. Determine x*p(m) + n(m).\nAnswer: m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83530, -83541, -83560, -83587, -83622, -83665?\n\"Answer: -4*f**2 + f - 83527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -11001000111111010010000?\nAnswer: -11001000111111010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**0)\/s)\/s*s)\/(s*s**5)*(s**7*s)\/s**(-5\/2)*((s*s**(-7)*s)\/(s*s**(-1\/2)\/s))\/(s\/(s*s**2))**28 assuming s is positive.\nAnswer: s**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1111001100 (base 2) to base 14\nAnswer: -4d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**21)**(1\/38)\/(f**(3\/7))**(-11))**(12\/13) assuming f is positive.\nAnswer: f**(8406\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let k(a) = -a**2 - 13. What is k(v(x))?\nAnswer: -4*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddqqdqqdmdqdqmqmmdqd. What is prob of picking 2 q and 1 m?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -123*z + 4023. Calculate y(38).\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)*(z*z\/(z\/(z**(-2\/13)*z)))\/z*(z**6*z)\/z**(-1\/5) assuming z is positive.\nAnswer: z**(68\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**3 + 750*k**2 - 37805*k + 37050 = 0.\nAnswer: -190, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**3 + q**2. List the prime factors of u(2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618234 plus 0.0495?\nAnswer: 3618234.0495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 191.\nAnswer: 83\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52 - -2501?\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t + 4*m + 181, -5*t = 4*m - 149. Let z be 31\/3*(3 + 0). Let q = t - z. Solve -8 = -3*g - q*a, 2*g = -4*a - 9 + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258310.\nAnswer: 2, 5, 29, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, c: 5}. Give prob of sequence crcr.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 23*i**2 - 142*i + 27. Let u be j(6). Let a be 0\/(3 - 0 - 1). Solve 2*n - n + u = a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 5*n - 7. Let h be o(-6). Put -4, 36, h in increasing order.\nAnswer: -4, h, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -69. Let z(o) = -624*o**2 - 4*o + 3. Let a be z(k). Let h = a + 4008. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 4. Let d be w(2). Suppose 3 = -2*k - g, k + 12 = g + 21. Factor -5\/4*p + 5\/4*p**k + d.\nAnswer: 5*p*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*p**2*v - 39*c**2*p**2 - 598781*c*p**2*v + 10189*p**2 wrt v.\nAnswer: -2*c**2*p**2 - 598781*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*(9 + 1288\/(-138))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(49)\/(sqrt(7)*-2) + sqrt(7))*4 + 2)**2 + (sqrt(49) + sqrt(588)\/(sqrt(48)\/sqrt(4)))\/(sqrt(56)\/(sqrt(8)*1) + sqrt(7)).\nAnswer: -15*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 17.8. Let j = r - -4.2. Which is the fourth smallest value? (a) 4 (b) -0.2 (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2287412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197*j**4*w**2 + 2*j**4 - 17*j**2*w**2 - 13*j**2*w wrt j?\nAnswer: -4728*j*w**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 2273731128*t**2 + 2273731131*t**2 - 2*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3266956 bigger than -3266957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 3*s + 423 + s**2 + 5*s**2.\nAnswer: 6*s**2 - 7*s + 423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.79 and 0.06 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcnl when four letters picked without replacement from {l: 2, c: 3, d: 2, n: 5}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79595 divided by -130.\nAnswer: -15919\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 - 803\/(-22)*2. Solve u*c = 72*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 42*r - 117. Suppose 0 = f - 28 - 85. Calculate the remainder when f is divided by a(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 11. Calculate r(25).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 667 = 4*c, -418 = -2*c + v - 67. Let q = -55 + c. Let m = q - 66. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58614 - 19166843\/327. What is the common denominator of o and -25\/24?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -21 + (1387 - 1451) + -32?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*o**2*s + 2*k*o**2 + 19*k*o - 868*k*s + 11*k + 153457045*o**2*s - 5*o*s wrt o?\nAnswer: -4*k*s + 4*k + 306914090*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (sqrt(34)\/sqrt(2) + 3)) - (sqrt(68)*-6)**2) + (4*sqrt(272))**2 + -5 + 2.\nAnswer: sqrt(17) + 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*o - 111 + 995 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111200222102211 - -10?\nAnswer: 111200222102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 172. Calculate the greatest common divisor of d and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377842609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-2))*16. Let g(s) = -7*s**2 + 3*s - 4. Let f(q) = 76*q**2 - 32*q + 44. Let o(v) = m*g(v) + 3*f(v). Differentiate o(w) with respect to w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5026, -9914, -14772, -19606, -24422, -29226, -34024?\n\"Answer: -w**3 + 21*w**2 - 4944*w - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117.13 - -139. Let x = g + -22. Let r = 865 + -866. What is the nearest to x in 1, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -4\/7 (c) -5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50610686 and 151832058?\nAnswer: 151832058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 18 = -3*s, 2*y - 14 + 2 = -2*s. Solve 4*n + y + 7 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314747 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7252772 rounded to 3 dps?\nAnswer: 3.725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = 4*b - 2356. Find f, given that 579*f**3 - 290*f**3 - 722*f + b*f**2 - 291*f**3 = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -34. Let g(v) = v**2. Let d be g(2). Put y, d, 18 in ascending order.\nAnswer: y, d, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 2*x - 82, 119*j - 488 = -4*x - 2864 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)*(-1)\/(12\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5562 + 8077. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -130?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16\/13, 150, -2, 1\/4, 2, -0.1, -2\/11?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 53223.\nAnswer: 4\/53223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 63 = 0. Suppose -2*m + 3*g = -k, 5*m = -5*g - 1 - 9. Solve 2 = -l - 1, m*o - 4*l - 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 312 + -187. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -114 + z - 6*z + 83*z + 2*z**2 + 2*z + 3*z. Does 21 divide h(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.52 + -48. Let h = -13 - z. What is h rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 10*g**2 - 20*g + 9. Calculate t(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -199*y**6\/120 - 2*y**5\/15 - 10*y**3\/3 + 255*y**2. What is the third derivative of n(f) wrt f?\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 49*k**2 - 1349*k - 635. What is y(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10423 (base 6) to base 4\nAnswer: 112233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 + (-62)\/(-3). Let p = -3999 - -35810\/9. Let f = o + p. Which is the third biggest value? (a) -2\/3 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -34871\/2?\nAnswer: -34871\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 899 - -492. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 12*d + 6020. Suppose -276 - d = -5*q + x, 16 = 4*x. What are the prime factors of q?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.06 (b) 2 (c) 0.1 (d) 15\/7 (e) 3 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 70 = -10. Let p(s) = -s**3 - 5*s**2 - 6*s - 4. Let q be p(-4). What is the remainder when -20*(-2 - 1\/q) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 2 - 3060*z**3 - 3 - 1 + 3059*z**3 to w + s*z + c*z**3 + k*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1\/6)\/w)\/w**(-4\/11))\/((w*w*w**(2\/3)*w)\/w*w\/(w**(-10)\/w)))**(-11))**(-36) assuming w is positive.\nAnswer: w**(-6126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 3) to base 14.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y + 47*y**3 + 14*y - 1106*y**3.\nAnswer: -1059*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 44, 3, -16 in ascending order.\nAnswer: -16, 3, 44, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76737 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + m + 3 = 0, -4*m - 10 = 2. Solve -5 + w = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -18*g**2 + 8*g + 5. Let b(v) = -53*v**2 + 23*v + 16. Let h(z) = 17*a(z) - 6*b(z). Is h(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (121 + -101 - -34).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z - 4*h + 9 = -43*z, -4*h = -3*z - 27 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 21*y**2 - 24*y + 44.\nAnswer: (y - 22)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -499\/2345 + 6\/469. Let x = 1.52 - -5.5. Let v = 7 - x. Sort v, -3, 1, b in ascending order.\nAnswer: -3, b, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -54*y**3 - 3*y**2 - 4*y - 7. Let c(g) = 53*g**3 + 3*g**2 + 6*g + 8. Let k(n) = 2*c(n) + 3*v(n). Find the third derivative of k(f) wrt f.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(1 + 2 + 0)*(4*t - t + t**2 - 2*t).\nAnswer: -6*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956568?\nAnswer: 2, 199, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2717 and 7381880?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 16*z - 2*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 - 131*o + 47. Give g(26).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 3*n**2 + 1. Let j be o(-3). Let a = 7 - 3. Suppose c + t = -2, a*t + j = -5*c - 8. Is c not equal to -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, -7, -63 in increasing order.\nAnswer: -63, -21, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 4*i + 7 = 0, i = 3*p - 5. Solve 3*y - 4*y + p = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246968 divided by -4.\nAnswer: -61742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20141609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3935687 and 16541?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 287578849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13*j - 28*j + 71554 = 0. What are the prime factors of j?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1139735550 by 5.\nAnswer: -227947110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22599014 is divided by 5083.\nAnswer: 5079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**4 + 6*d**2 - 10*d. Let q(p) = 3*p**4 + 5*p**2 - 9*p. Let o(c) = -5*j(c) + 6*q(c). Find the second derivative of o(y) wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 0*j + j**2 + 0*j**2. Let r be o(-5). Suppose -28 = -r*p + p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119)*-1*2 - sqrt(119) - -3*2*sqrt(119))\/((sqrt(567) - (sqrt(567)*4 - sqrt(567)))*3).\nAnswer: -2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2 - 18 + z**2 + 10 + 5. Let v(r) = -r**3 + 5*r**2 + 2*r - 6. Calculate -5*k(f) + v(f).\nAnswer: -f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 - 64*a**3 - 20165*a**2\/4 - 225739*a\/2.\nAnswer: -a*(a + 38)*(a + 109)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-66))\/(1\/3). Let u be (2 - (-48)\/(-28)) + 27\/(-168). Sort u, -3, m in decreasing order.\nAnswer: u, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-14)\/(u*u*u**(1\/7)))\/((u\/u**17)\/(u**6\/u)) assuming u is positive.\nAnswer: u**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -278\/5 + 4736\/85. Let x be (11\/165)\/((-12)\/40). What is the closest to x in 0.1, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - y = -23, -4*y - 4 = -v - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:09 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s)\/s*s)\/(s*s*s**(-2\/13)*s)*(s**1)**(-1\/25)*s**(1\/2)\/s*(s**(-1\/2)\/s)\/s*s**(-3)*s*s\/(((s*s**(2\/5))\/s)\/s*s) assuming s is positive.\nAnswer: s**(-1718\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/6 + 11*t**3\/3 + 43*t**2\/2 + 18*t = 0.\nAnswer: -12, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*v + 5*v - 133 = 0, 134 = 5*q + 4*v. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/18 and 49\/23196.\nAnswer: 69588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 35*w**2 + 17*w - 87. What is n(35)?\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13ba911 (base 12) to base 13\nAnswer: -a94248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2770791 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*r**3 + 2401*r**2 - r - 10262790.\nAnswer: 132*r**2 + 4802*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five halves of a meter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -517 + 3017. Is 42 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9141388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 5*i**2 - 7*i + 10. Let l be c(-7). Let w = l + 114. What is the remainder when w is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/8 + 141*a**2\/8 + 153*a\/2 - 189\/2.\nAnswer: 3*(a - 1)*(a + 6)*(a + 42)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23697 = 7*g + 6099. Let j = -62833\/25 + g. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 549050*o*v**2*x**3 + 2*o*v**2*x - 40*o*v*x + 3*o*x**2 - 86*o*x - o + v + 10*x wrt x.\nAnswer: 3294300*o*v**2*x + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 849247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -97*g**8\/48 + 559*g**5\/60 + 322*g**2. Find the third derivative of i(r) wrt r.\nAnswer: -40740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54666.44468 to the nearest one hundred.\nAnswer: -54700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 236624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*1*6. Let d(b) = -3*b. What are the prime factors of d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12 - (-3)\/(-18) - -6. What are the prime factors of (-4)\/z*(-1596)\/8?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -10*m - 23. Calculate the highest common divisor of m and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 1262487?\nAnswer: 55549428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -604, -2, -3, -7.\nAnswer: -604, -7, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -2*c**3\/27 - 22*c**2\/9 + 46*c\/9 + 322. Factor b(s).\nAnswer: -2*(s - 1)*(s + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -442975.7 and 8.56517.\nAnswer: -442967.13483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25746739 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 882461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 1, -2\/5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(65) + (sqrt(65) + (sqrt(65)*-1 + sqrt(65) - sqrt(65)) - sqrt(65))))\/(sqrt(15)\/(sqrt(3) + 4*sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/2*h**2 - 6*h + 0 - 3\/2*h**3 = 0 for h.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13167*p**3 - 25 + 26334*p**3 - 13164*p**3.\nAnswer: 3*p**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*((21\/(-4))\/21)\/(12\/12).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -686420 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/296*93795\/(-390).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -1 + (339 - 344)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 2*r - s, -2*s - 4 = 0. Let j(n) = -40*n**2. Let t be j(r). Let u be ((-15)\/t)\/((-6)\/4). Is u less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229.7 + 259. Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -w - 13, w = -2*v - 113 + 106 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 9*c + 10 - 51*c to t + o*c and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935219 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -479\/190 + 2\/95. Let f = 5.3 - 32.3. Let o = f + 29. Is o at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11652*p + 40 = -11648*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + 15. Give i(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -78*a**5 - 16*a - 297. What is the derivative of x(v) wrt v?\nAnswer: -1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -47*s**3 - 4*s + 4. Let a(m) = 94*m**3 + 7*m - 7. Determine -4*a(b) - 7*i(b).\nAnswer: -47*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 11)\/(2\/(-178)). Let c = -51 + n. What is the highest common factor of c and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*v + 20, -4*v - 27 = -2*a - 11. Suppose -r + 2*r = -a. Let h = 12 - r. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m + 8. Let s(u) = -u**3 + 2*u**2 + 2*u + 1. Let c be s(3). Let f be v(c). Let g = 27 - f. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r + 13*r + 10*r)*(126*r**2 + 196*r**2 - 42*r**2).\nAnswer: 8960*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + -5.1. Let x = 2 + -7.5. Let j = z - x. What is the nearest to 0.1 in j, -1\/5, -2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*w - 5592 = -433*w + 104*w - 16192 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -3*y. Suppose 0*h - y = h. Let q be ((-2 - h)*5)\/(-1). Which is the nearest to 1? (a) -2 (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 + 58062*f - 842798961 = 0. Calculate f.\nAnswer: 29031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 6.2 (c) -4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -32 - (5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 116 = 54. Let p = f + -48. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(315)*1 - sqrt(315)) + sqrt(315) + (-2*sqrt(315)*4 - sqrt(315)) + sqrt(315))\/((sqrt(7) + (sqrt(7) + sqrt(7)*2)*-5 + sqrt(1400)\/sqrt(8))*6).\nAnswer: 13*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 + (-1115)\/48 + -8 + 1 and (26\/3)\/(5\/3)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 2*a**2 - 3*a - 1. Let r be t(-3). Let p be (-4 + 7)\/((-1)\/r). Let i be -3 - 84\/(-15) - p. Sort -5, 3, i in ascending order.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 + 0.02. Let t = -207 + 286.8. Let k = t - 80. Sort -4, k, 1, v.\nAnswer: -4, v, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 17*a - 20*a. Let d(t) = -4*t + 86. Let y be d(a). Is y < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 g when four letters picked without replacement from {m: 4, t: 5, g: 10}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3373 - 3372.98. What is the smallest value in -50, g, -2\/17?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*i**2*q**3 + i**2*q + 818*i**2 + 1739*i*q**3 + 17*q**3 wrt i.\nAnswer: -110*q**3 + 2*q + 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5145408ug to tonnes.\nAnswer: 0.0000000000005145408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Which is smaller: 1\/5 or c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2 (c) 1 (d) -238360\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -4.6. Let t(v) = -v**2 + 10 - 1 + 2*v**2 - 8*v. Let a be t(6). What is the smallest value in a, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-927)\/(-3296)*744\/(-279)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 7. Let s(v) = -6*v - 163. Let d be s(-28). Calculate l(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -178, -407, -706, -1063, -1466, -1903?\n\"Answer: 2*n**3 - 53*n**2 - 2*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c + 251 = -3*f, 4*f - 5*c + 358 = 0. Let p = -55 - f. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4*((-1285942)\/(-202377) + -6). Let k = c + -2\/1257. Sort -1\/4, -3\/4, k in descending order.\nAnswer: k, -1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10183909*b. Let m(i) = 3*i. What is m(j(u))?\nAnswer: 30551727*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/248)\/(-7)*28\/112*4\/(-1)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386186*n = -386091*n - 6080 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7407262675 to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001807 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p. Let i = 62 + -56. Let v(n) = -i*n - 2*n + 13*n - 2*n. Calculate q(v(a)).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*z - 113*z - 2 - 2*z**2 + 263*z + 6 + 1 in the form l*z + m + s*z**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d + 10 = 5*m, 4*m = 3*d + 8. Let s be (13 + 2)*2\/6. Solve 3*p + 3*f = 9, -s*p + m*f + 9 = 4*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/20*-4 - -2. Is (t - (-844)\/16)*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -24*a - 6. Let m(k) = 62*k - 380. Let v be m(6). Let l(i) = -8*i - 2. What is v*l(g) + 3*u(g)?\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(-2))\/((-7)\/14). Let x = -10 + n. List the prime factors of 408\/21 - 12\/x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*c**3*w**4 - 950*c**3 + 2*c**2*w**4 wrt w.\nAnswer: -496*c**3*w**3 + 8*c**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 7*z**2 - 12*z + 6. Let t be p(8). Let u(b) = b + 37. Let y be u(t). What is the highest common factor of 121 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 2*g**2 + 0*g**2 + (2*g - 3*g - g)*(-3*g + 5*g - 4*g) + (0*g**2 + 4*g**2 - 2*g**2)*(0 + 3 - 1) to the form r + s*g + c*g**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244482051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 10946052.\nAnswer: 32838156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -d + 190, 0 = 3*d - 5*x - 701 + 110. What is the third smallest value in 2, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - 5*w + 78. Determine o(8).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 6*k**4 - 3*k**4 + 5*k**3 - k**4 - 5*k**3 - k**3 + k**3 - 2*k**4 + (k**2 + 3 - 3)*(2*k + k**2 - 2*k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-6) - 1)\/(1820\/390). Is w greater than or equal to 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**4 + s**3 + s**2 - s + 2. Let x(c) = 5016*c**4 + 4*c**3 + 10*c**2 - 7*c - 4. Let o(r) = -4*v(r) + x(r). Find the third derivative of o(q) wrt q.\nAnswer: 120096*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/12 + 35*x**4\/6 + 145*x**3\/6 + 7034*x**2. Determine s, given that w(s) = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-640)\/48 - -14 - 2\/(-6). Which is bigger: j or -757?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32 + 0 + -1 + -1. Let g be (2\/(-3))\/(1\/30). Let u = g - c. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8388.2 times 46\nAnswer: -385857.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -2 + (82 - 64) + 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/224)\/(3\/(-70))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 46. Let d = -7 + -5. Let i = t - d. Which is the third smallest value? (a) 1 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658*x + 16 - 16 + 0.\nAnswer: -658*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and 1447497.\nAnswer: 1447479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 563626171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8248 - -8257. Suppose 47 + 13 = 4*t. What is the lowest common multiple of t and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 33745595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5946074 or 5946030?\nAnswer: 5946074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -132308 and -3043068\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 51*z - 102 = 0, 19065490*r - 19065490*r + 2 + 2 = 2*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124.8 + -127. Let c = w - -2.2055. What is c rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68) + 1 + sqrt(68) + sqrt(68) + -4 + (sqrt(68) + sqrt(68)*-2 + -2 - (sqrt(68) - sqrt(68)*-2*-4)) + 1)**2.\nAnswer: -288*sqrt(17) + 5572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8654 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: Put 0.2, -0.01, 4, 1\/4 in descending order.\nAnswer: 4, 1\/4, 0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 7*t = -30*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7a13 (base 14) to base 8\nAnswer: 51301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.5 + 3.8. Let v = 6.9 + l. What is the nearest to 0 in 5, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:04 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 73*f - 777. Let q be s(13). Let y be (-11)\/3 + 2\/(-6). Which is the nearest to -2\/3? (a) y (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157461682 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*y + 137*y - 66 + 3192 + 140*y + 1806 to m*y + i and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -555052869 divided by 3?\nAnswer: -185017623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1303, -1302, -1299, -1294, -1287, -1278, -1267?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 - 34136*x - 19188180 = 0 for x.\nAnswer: -7929, -605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 23110?\nAnswer: -23101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from {i: 1, v: 3, h: 5, b: 3, o: 1, x: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (11 - (-8 + 12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/18 + 2409\/(-27). Let u = n + 176. Let k = 138 - u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 10. Suppose -4*p + 2 + 9 = y, -u*p + 5*y + 20 = 0. Let t = p - 1. Solve 0*n = n + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*d = 25, s = -s + 5*d + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 0.59. Let b = 7 - 10. Let z = 4.3 - 1.3. Sort z, o, b in descending order.\nAnswer: z, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:43 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2945*t**2 - 31*t + 52*t - 39*t.\nAnswer: 2945*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:50 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -20*q**4\/3 - 1273*q**3\/3 - 15005*q**2\/3 - 10632*q - 2352 = 0.\nAnswer: -49, -12, -12\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -66.\nAnswer: -13\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/5 + 12*h**3\/5 + 54*h**2\/5 = 0.\nAnswer: -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -15. Let f(z) = -24*z**3 - 3*z**2 + 2. Let p be f(h). Suppose 2*b = 2 + p. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1182*n + 2*n**3 + 12*n**3 - 6*n**3 - 5*n**3.\nAnswer: 3*n**3 + 1182*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:41 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 24*j + 1122 = 0. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**3 + s**2 - 18*s - 14. What is the remainder when b(3) is divided by 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-756)\/(-24) - 1\/2. Suppose 3*p - 184 = 3*m - x, m = -2*p + 114. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2689042565 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**4 + 724*b**3 + 11682*b**2 - 163548*b + 63504 = 0. What is b?\nAnswer: -21, 2\/5, 9, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -5. Calculate the lowest common multiple of 4 and (-4)\/r - (-590)\/25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 267892008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104544, 104547, 104552, 104559, 104568, 104579, 104592?\n\"Answer: a**2 + 104543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(0 + (-6)\/12). Let r be (z - (-4)\/(-8)) + (-1771)\/(-126). Which is smaller: r or 15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62773.983 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/14)\/((-169)\/4). Let a = 165\/338 - z. Let p = -0.23 - -0.3. Sort a, 0.4, p in increasing order.\nAnswer: p, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 9*m**3 + 27*m**2 + 15*m.\nAnswer: -3*m*(m - 5)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507 + 507 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3)*(-35*m + 13*m - m)*(-1 + 1 + m) to g*m + i + d*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 6)\/((-4)\/4). Suppose 0 = t - 5*t - z - 29, 2*z - r = t. Let f(s) = -s**2 - 9*s - 13. What is the smallest common multiple of f(t) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 7720 + 7728 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 22*g**3 + 2*g**2 - 2*g - 2. Let c be s(-2). List the prime factors of (-3 + 2)*1\/(2\/c).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211501 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: Is 7018\/47 < 61\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5111216 (base 7) to base 8\nAnswer: -2243243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811606109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - -0.02. Suppose 0 = 3*k - 4*k - 3. What is the closest to -1\/4 in k, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5592 = 13*a - 5722 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/679 and -29\/5537.\nAnswer: 537089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760910 is divided by 152026?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*m - 6, 0 = -2*v + 3*m + 5 - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257221723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 558 and 51037780.\nAnswer: 459340020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 + 536 + (-8 - ((-525)\/49 + -5))?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 4*j + 40. Let h(n) = -4*n**2 + 3*n - 41. Give 4*h(b) + 3*m(b).\nAnswer: -b**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/2 - 9*j**3\/2 - j**2 + 42*j - 36 = 0. Calculate j.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -2.6. Let m = t + -4. What is the third biggest value in 0.2, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 3. Let q(t) = 5*t**2 + 13. Let j(y) = -26*p(y) + 6*q(y). Let v(n) = n**2. Calculate v(j(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-12))\/((-1)\/(-3)). Let d = 6 - l. Let w be (1\/(-2))\/((-1)\/(-2)). Which is bigger: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, 157, 409, 659?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10490*w**2 - w + 12606?\nAnswer: -20980*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 1. Let b(k) = 41*k**2 - 2*k + 1. Calculate b(w) + u(w).\nAnswer: 40*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216 - 350. Let p = 134.0202 + u. What is p rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2. Let g(j) = 3*j**2 - 3*j - 3. Let w(m) = 992*m**2 - 1023*m - 1023. Let i(v) = 682*g(v) - 2*w(v). Calculate i(b(t)).\nAnswer: 3038*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47847327 divided by 263\nAnswer: 181929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 87\/264 - ((-525)\/(-56) - (14 - 5))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -61a (base 13) to base 12\nAnswer: -725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from nsnsssnjnnsnnnj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + 71. Let f be m(21). Calculate the common denominator of 88\/63 and 11 - 15 - (-2)\/(12\/f).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*q - 910*q - 3*s = -3, -q = 5*s - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2432221.7\nAnswer: 2432221.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - (1 - 26)) + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8476, -8475, -8474, -8473, -8472?\nAnswer: -8471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501*j**3*s + 2*j**3 + 8575*j**2 wrt s.\nAnswer: -501*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 30*q = -14*q + 1401788. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -8, -33 in decreasing order.\nAnswer: 4, -2, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 5. Let x be z(7). Suppose -x*m + 2*t + 12 = -0*m, -4*m + 18 = 2*t. Suppose j - 11 = n, -m*j - 4*n + 1 = -4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/10)*u)\/(u\/(u\/(u\/u**(-9)*u))*u))\/(u*u**(-1\/4)*u\/(u*u**0)) assuming u is positive.\nAnswer: u**(-241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16686\/(-126) + 13 + -8. Which is bigger: j or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/20*-1)\/((-9)\/(-3)). What is the nearest to 0 in 12, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15632*d**4 - d**3 + 162*d**2 + 42 wrt d?\nAnswer: 375168*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 1?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -20*f**4 - 37*f**2. Let m be ((-2)\/5)\/((-9)\/(-45)). Let z(h) = -h**4 + h**2. Let u(c) = m*z(c) - q(c). What is the third derivative of u(g) wrt g?\nAnswer: 528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.90851 - -0.4375. Let z = k - 5.476009875. Let h = z + 0.13. What is h rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, 16, 61, 94, 109, 100?\n\"Answer: -w**3 + 3*w**2 + 49*w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(3 - 3 + t)*(-t - t - 2*t**2 + 4*t).\nAnswer: -4*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.2 (b) -19017 (c) -4 (d) -0.7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2 + 2 - 3). Is 18 a factor of (-330)\/(-18) + (-2)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271796367.\nAnswer: 3, 313, 289453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(132) - (-2*sqrt(132) + sqrt(132))))\/(sqrt(36)\/sqrt(3)*1) - ((-5 + sqrt(1331) + 1 + sqrt(1331))*-2)**2.\nAnswer: -21360 + 706*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1842, -7418, -16716, -29736, -46478, -66942, -91128?\n\"Answer: -1861*x**2 + 7*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from bhhbhbhhbbbb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2672, -5343, -8012, -10673, -13320?\nAnswer: -15947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**6\/120 - q**5\/20 - q**4\/8 - q**3\/2 + 21*q**2 - 15*q. Let d(a) be the first derivative of m(a). Determine d(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 6*p + 6. Suppose -v + p = -30. Let o = 39 - v. Solve 4 = -2*h + o*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/((-495)\/(-175)) - 10\/90. What is the second smallest value in b, -10, 0.6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 311 or 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000055717 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2388 = -251*p - 138*p - 18712 - 8572 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 59*p - 251*p**3 - 2*p**2 + 60*p - 177*p + 58*p in the form d + g*p + z*p**2 + v*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111011000001 (base 2) in base 15?\nAnswer: 16b3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9*h - 7*h - 64*h**2 - 2*h.\nAnswer: -64*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-2\/5)*f)**(-47)\/((f**(13\/5)\/f)\/(f*f**12*f)))**(-22) assuming f is positive.\nAnswer: f**(16214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 + (102 - 33) - (6 - (1 + -6 - -3)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36011 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 5*g**4 + 0*g**4 + (77 - 77 - 2*g)*(4 - 3 + 0)*(-g**3 + 2*g**3 - 3*g**3).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:17 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121292893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/7))\/(c**(-2\/3)*c)*(c*c**(-1\/3)*c)**(-2\/53)*((c\/(c\/c**(1\/2)))\/c)**(-1\/61)\/(c*c*c*c**(2\/7))**(-26) assuming c is positive.\nAnswer: c**(3900833\/45262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 11*q**3 - 35*q**3.\nAnswer: -38*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l - 13 - l + 7*l**2 - l**3 + 2*l. Let o be u(8). Factor -4\/5*w**2 + 0 + 2\/5*w**o + 2\/5*w.\nAnswer: 2*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(15)\/sqrt(5)) + sqrt(432) + sqrt(432) + 0 + sqrt(432).\nAnswer: 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.117*-237.2\nAnswer: 27.7524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328174526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51754217 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -4*c**3\/3 + 2. Let q(n) be the third derivative of 1\/24*n**4 + 0 + 28*n**2 + 0*n + 0*n**3. Calculate q(m(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**2 - 11*w + 5. Suppose 0*f = 3*f - 6. Suppose 33 = r + f*r. Let l(o) = 5*o**2 - 4*o + 2. Let x = -2 + -2. Determine r*l(a) + x*b(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a minute in seconds?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 2*d + 5. Let q be w(-4). Let l = 7 + q. Let m be ((-6)\/l)\/(3\/(-4)). What is the greatest common divisor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 9. Suppose -5*d = 3*z - 15 - 2, -13 = -2*z - 5*d. Calculate the least common multiple of o(6) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 12. Suppose 0 = 6*s - 9*s + 6. Suppose -5*l - 13 = -r - r, s*r + 2 = 2*l. List the prime factors of k(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 267332?\nAnswer: -267337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrn when three letters picked without replacement from {k: 3, i: 2, r: 5, j: 6, n: 3, e: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22206 is divided by 673.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29290, -29276, -29262?\n\"Answer: 14*r - 29304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 98*o - 7. Let l(p) = 98*p - 9. Let h(r) = 3*j(r) - 2*l(r). List the prime factors of h(4).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*g + 10201652, 2*g - 4*n - 20403264 = -2*g. Suppose 1719180 + g = 4*m. Round m to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117486154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let p be o(7). Let g = 8 + p. Suppose g*u = -u + 3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**5)**(-5\/9))**(20\/7))**(-3\/20) assuming x is positive.\nAnswer: x**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5576108 is divided by 1620.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 11 + 1\/8*f**4 + 0*f - 2*f**2 - 25\/3*f**3. Let u(n) = n. Give v(u(p)).\nAnswer: 3*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 6, 5 in ascending order.\nAnswer: -8, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + (0 - 1)*-2. Suppose 5*m - 4*l = -l + z, 4*l = 4. Factor 2*t + 3*t**3 + t**m - 6*t**3.\nAnswer: -2*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/141 and -27\/8.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -28296*v + 28293*v - 22, d + 5*v = -26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 843dd + b?\nAnswer: 8440a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -314.19598 and 26806?\nAnswer: 27120.19598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (364\/455)\/((-2)\/(-35)*1). Solve -5*d + t*d = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1440\/143 + 138\/13. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -0.1, -274?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 2*n**2 - 5*n - 4. Let a be h(-3). Let d = 0 - a. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6670000 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1152540*s - 209. Let i be g(-18). Let p = i - -38195929. Round p to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - 61066644.\nAnswer: -61066675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b. Let a be (108\/3)\/2 + -1 + 1. Let n(i) = -a*i**2 + 52*i**2 - 20*i**2 - 13*i**2. Give u(n(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 - 1 = -3*x, -4*x + 3 = 5*v. Suppose 4*g - 339 = 5*p, 7*g + p = x*g + 460. Suppose -g = 5*a - 726. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 489*f**2 + 5*f + 6*f + 481*f**2 + 1064*f**4 + 1 - 971*f**2 - 7*f in the form s*f**3 + i*f**2 + r*f**4 + q*f + p and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 5*p - p - p - 4*p + 3*p + (1 - 2 + 2)*(p - 4*p + p))*(-7 - 3 + 2).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 2\/3*t**3 + 0*t**2 - 2*t - 1. Let w(p) = -p**3 - 11*p**2 + 11. Let s = -3 + 1. Calculate s*w(l) - 11*n(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 22 = 2. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*i**2\/11 + 96*i\/11 - 18\/11.\nAnswer: -2*(8*i - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 129709*g**3 + 2114*g + 1057. Let q(j) = -737*j**3 - 12*j - 6. What is -1057*q(i) - 6*t(i)?\nAnswer: 755*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i = 43*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t - 1. Let y(a) = -5*a**2. Calculate y(r(u)).\nAnswer: -1620*u**2 + 180*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 126*o + 7 - 10 - 15*o.\nAnswer: 111*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**2 - 81029 + 81123 - 17*p**2.\nAnswer: 10*p**2 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -772*p + 4740. Calculate b(6).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1220311919*m**3 - 224521522?\nAnswer: -3660935757*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 0, 4*t - 2*d - 19 = -t. Let r = 3 + 0. Suppose r*m - 7 = 2*m + s, -5*m = t*s - 75. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**5 - 4\/3*h**3 + 0*h**2 + 5\/6*h**6 + 0*h**4 - 2 + 0*h. What is the third derivative of n(y) wrt y?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/12 + u**3 + 6*u**2 - 2*u + 27. Calculate the least common multiple of w(-4) and 7 - (5 - (-1 - -5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*(z\/z**9)\/z)\/z))**(5\/4)*z*(z**(-1\/6)\/z)\/z*z**(5\/2) assuming z is positive.\nAnswer: z**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 + -1 - 1) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 54*o**2 + 25*o - 68. What are the prime factors of z(5)?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13418 or 13417?\nAnswer: 13417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-2691)\/3496 - 119\/(-136))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(931) + sqrt(931) + 2 + 4 - sqrt(931))*-5)**2*5.\nAnswer: 173600*sqrt(19) + 1938880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 8) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1212 + 1212 + 2*n to b + s*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 194, 396, 594, 788, 978?\n\"Answer: -2*w**2 + 208*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 917, 915, 913, 911, 909?\n\"Answer: -2*r + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 - 8*p + 7. Let t be z(4). Let x be 0 - t*(-4)\/(-8). Solve 5*f + 3*a = 13, -10 = x*f + a + 4*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -685*a**5*g**2 - 38*a**2*g**3 + 535*a*g**3 + 2*a*g**2 + a*g + a - 4*g**3 wrt a.\nAnswer: -13700*a**3*g**2 - 76*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33062309*i*x**2 + 39609371*x**2 wrt i.\nAnswer: 33062309*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922959383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.5, -2, 4, 6\/37, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -479.4 and -4.\nAnswer: 1917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7853, 9359, 13435, 21365, 34433, 53923, 81119?\n\"Answer: 214*j**3 + j**2 + 5*j + 7633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + 3 + -4 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -55*n**4\/16 + 113*n**3\/12 - 3*n**2\/4 + 11607. Factor w(h).\nAnswer: -h*(h - 2)*(55*h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326917363 to the power of 1\/3, to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 1354803*y**2 + 4064402*y + 2709600 = 0. Calculate y.\nAnswer: -1354800, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-22))\/(276\/40986*27)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70601288 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(833) - (sqrt(833) - (2 + sqrt(833))) - sqrt(833)) + 1 + -2)**2*-5*-5*-4.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**6\/360 - o**5\/30 - o**4\/12 - o**3 - 3. Let b(h) be the third derivative of v(h). Determine b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 13 = -3*m, -m - 92*f + 95*f = -16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391276647 to the power of 1\/2, to the nearest integer?\nAnswer: 19781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*n - 31. Let p be 10\/n + 3\/(-3). Let m = -0.038 + -3.962. Which is the biggest value? (a) p (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 3554 = 22*o. Suppose 18*h + o = 50*h. Solve 0 = h*q - 15, 2*u + 3*q - 21 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2942.\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 13.5. Let u = z - -5. Which is the second biggest value? (a) 4\/3 (b) u (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1333751 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 85*u - 1580. Calculate the remainder when z(-40) is divided by 166.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 11. Let j be y(-4). Suppose 2*t = 5*t + j. Is -1\/15 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -54, 47, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuf when four letters picked without replacement from uuuufuffuuufuu.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 5*f + 4. Let w be x(4). Suppose 0*r + 16 = 4*r. Suppose 5*t = -25, 3*k + k + r*t - 1208 = w. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-714)\/(-18))\/(-17))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94188 by -7849.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {m: 1, g: 7, h: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7 + 17 = 3*d, -3*d - l + 15 = 0. Let o(j) = j**3 - 5*j**2 - 7*j + 8. Let x be o(d). Let i be (10405 - x) + -4 + 1. Round i to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -382.53542 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, u: 2}. Give prob of picking 2 v and 2 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 55, 113, 195, 301?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 4781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 take away -57?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -3, 27, -1, 0 in ascending order.\nAnswer: -3, -1, 0, 27, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/8)\/(3\/(-12)). Suppose -5*c - 5*w + 6 + d = 0, 3*c - 17 = 2*w. Suppose c*h = 10*h - 230. Calculate the smallest common multiple of 14 and h.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-1)\/(-1))\/((-3)\/(-6)). Suppose -24*h + 26*h = 4. Suppose h*m = y - 2. Solve -4*u + 3*u + m = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 127 = -135 - 90 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/40 - (-2 + -7 - (-4655)\/700)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5406, 10830, 16268, 21726, 27210?\n\"Answer: u**3 + u**2 + 5414*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(567)*-2 + sqrt(567))**2 - sqrt(7)) + (3 + sqrt(700))**2)*3.\nAnswer: 177*sqrt(7) + 3816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*l. Let y be (2\/1)\/(l\/1). Suppose -9 = -5*g + 2*h, g + 2*h + 1 = -2*g. Is y not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 1.3. Let u = 4.7 + p. What is the nearest to 1 in u, 4, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/10 + 554\/4. Suppose -g + s = 3*g. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 10. Let x be p(-9). Let o be x\/((-2 - -4) + -1). Let q be (-2)\/(-4) + 21\/6. Sort o, q, -2 in ascending order.\nAnswer: -2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 10*b - 151 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 + 143 - (1 + 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 23*c**3 + 161*c**2 + 3*c + 3. Let r(h) = -17*h**3 - 161*h**2 - 2*h - 2. Calculate 2*l(s) + 3*r(s).\nAnswer: -5*s**3 - 161*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -7. What is the lowest common multiple of 5 and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 7693 in descending order.\nAnswer: 7693, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2. Let h(o) = o**2 + 1133*o - 1133*o. Determine -6*h(d) - s(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -50. Solve 2*z = 6*z + 16, x*z = -2*w - 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226.858 nanograms in grams?\nAnswer: 0.000005226858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 6*m**2 - 6*m + 8. Let f be w(-6). Let t = 30 - 19. Calculate the greatest common factor of t and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 420*f**2 - 738*f - 310065. What is a(-420)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = 3*z, 750*z - 745*z = 2*c - 18. Let s = -13 + 10. Sort z, s, -4 in decreasing order.\nAnswer: z, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 - 6 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 992.3 - 992.41. What is the third smallest value in -10, -5, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 2*y - 3. Let n be t(3). Suppose -3*r - 5*k = -10 - 3, -5*k = 2*r - 7. Is ((-8)\/r)\/((-2)\/n) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64571 and -0.3?\nAnswer: -19371.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 2*d + 2*d)*(-24842*d**2 - 13874*d**2 + 28245*d**2) to the form p*d + g*d**2 + k + q*d**3 and give q.\nAnswer: -10471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-70))\/(3 - 52\/20)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5465 + -752. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24569 - -940?\nAnswer: -23829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h + 12. Let g(q) = 141411 - 141411 - 2*q. Give s(g(w)).\nAnswer: -18*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2 - 4*z - 1. Let x = 3720 + -3728. Determine u(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311615786.\nAnswer: 2, 1877, 83009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - 7\/((-4144)\/(-593))). What is the highest common divisor of 962 and b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uymymcuuyvuug. Give prob of picking 1 m and 1 u.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = -v, 5054*v = 5*n + 5056*v - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. What is the third smallest value in -3, n, 5, -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:17 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbn when four letters picked without replacement from bnnnnnnbnnnnnbnnnn?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -9, -3, -2.5, 0.17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490\/(-315)*(-18)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221284.8 millennia in decades?\nAnswer: 22128480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 632*y + 102. Let g be q(-6). Let h = g + 7597. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((135\/12)\/(-9))\/((-1)\/4). Suppose -4*y = -m + y + 29, 77 = 3*m - d*y. Calculate the lowest common multiple of (89 + -91)\/(-1*(-2)\/(-28)) and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*455\/130*74?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 36\/3121 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-16))\/((-48438)\/828)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14097 in 1\/68, -1\/2, -4?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*y**2 - 11*y**2 - 30*y - 18*y**2 to k*y + m + r*y**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 34. Is 9 a factor of ((-162)\/h)\/(7\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 3 (c) 0.3 (d) -3\/32449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 33 - (1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6913077, -13826097, -20739117, -27652137, -34565157?\n\"Answer: -6913020*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 3 (c) 463\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 266*a**2 + 271*a. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 278.2+0.1\nAnswer: 278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 70039037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q - 4*q. Suppose 50*t - 45*t - 20 = 0. Let c be ((-2)\/t)\/(q - 4). What is the second biggest value in 0.4, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10575597433.5 + -135.7?\nAnswer: -10575597569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13613 = -5170*x + 1940*x - 8808 - 110009 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 124\/32 + 20\/160. Suppose -v + 83 = -b, -4*v + 2*b + 324 = -0*b. Suppose 299 = 5*s + v. What is the highest common factor of s and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26286 to the nearest one hundred.\nAnswer: -26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*y + 19, -4*n - 8 = -4*y - 20. Calculate the remainder when n is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44485.15*5\nAnswer: 222425.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -4\/7 (c) -72 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*z = -6, 4*x = -z - 2 + 14. Suppose 4*a - 17 - x = 0. Let m(s) = -s**2 + 3*s + 4. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36008, 71988, 107968, 143948?\nAnswer: 179928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1009 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84490243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 441\/153 - (2 + 108\/(-51)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87703\/6 + (-18)\/(-216)*-14 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 206 or 6752\/33?\nAnswer: 6752\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-3)\/(-60)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 43264*t**3 - 28912*t**2. Let h(w) = 627*w**3 - 419*w**2. Let g(z) = -208*h(z) + 3*o(z). What is the third derivative of g(x) wrt x?\nAnswer: -3744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344 + -3439\/10. Let r(w) be the first derivative of 1\/25*w**5 + 0*w - 1\/15*w**3 + n*w**2 - 1\/20*w**4 + 3. Factor r(d).\nAnswer: d*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s + 5. Suppose -23*f + 1508 = 1416. Calculate the remainder when j(-6) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1631 + 419 = -3*f + 3*d, -15 = -5*d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -2*t + 335. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (7\/77 - 969\/132))*-12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22236.8 millilitres to litres.\nAnswer: 22.2368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*r - 34, 7*p = 2*p + 4*r + 42. Let j be 0 + 1 + p + -40. Let d be (j + 19)*4\/(-10). Solve 0*g - 1 = -2*t + g, d = t - 4*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13094?\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-5 - -6) + -149 + 153.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 84*m + 3232. Calculate y(-39).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221*k**4 - k**3 + 300*k + 336670?\nAnswer: 884*k**3 - 3*k**2 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a day in hours?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -145 and 4190218528232.\nAnswer: 4190218528087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from zzzkzzzzk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 11.89?\nAnswer: 7.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 1)*(-4*c + c + 5*c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*m - 78186*a**3 - 10191*a**2*m + 5*a**2 + a*m wrt a?\nAnswer: 6*m - 469116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/4 - 2202738*b + 4852054696644 = 0.\nAnswer: 4405476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3 - 169091*j + 127621 wrt j.\nAnswer: -3*j**2 - 169091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*c = 839 + 2264 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*s = -2*s - 6, -3 = s. Suppose -50 = -4*g - 4*f + f, c*g = f + 30. What is the least common multiple of g\/(-35) - (-22)\/5 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/6 - 6*d**2 - 5*d - 13. Let a(q) be the first derivative of o(q). Let c = -103 - -96. Calculate a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 + a**2 - a - 2. Let b(k) = -k**2 - k - 1. Determine -2*b(s) + o(s).\nAnswer: -4*s**3 + 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1218457 nanograms?\nAnswer: 0.0000001218457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 8*v + 11. Let n be x(9). Find the first derivative of 1 - 6 + a**2 + 4*a**n wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 325000 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1146 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.52 - 0.22. Let q = 67\/3 + -21. Let l = 18364.3 + -18363.8. Which is the second smallest value? (a) 0 (b) m (c) q (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/5, -91, -2, -0.085?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 182*w**2 + w + 1. Let i be o(-1). Suppose v = 3*u + i, 3*v - u = 4*u + 526. Let q = v + -119. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1816, 1899, 1974, 2035, 2076?\n\"Answer: -d**3 + 2*d**2 + 84*d + 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251184 is divided by 340?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12010 - 12008.0182. Let n = 0.0182 + w. Let q = 2.8 - 2.91. What is the third biggest value in n, q, 3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*f - 4*d + 46, 3*d - 236 = -407 + 207 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.26 (b) -0.0065 (c) -2 (d) 2\/7 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 17*h - 140. Let k be j(5). Let p = -29 + 18. Is p smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = 4*d - 364. What is d rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:56 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 - 156*z**2 - 157*z**2 + 466*z**2 + 5*z - 154*z**2 to c + a*z + g*z**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 + 2*o**2 - 2*o + 4. Give z(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 + -0.07. Suppose 6 = q + 3. Suppose -2 - q = -s. What is the nearest to -1 in -0.4, t, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoooaoooooaoooaooao. What is prob of sequence oooo?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 33. Let i be k(0). Calculate the greatest common factor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 17809\/462 + ((-12)\/3 - 106\/(-28))?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.4, -1, 2256097?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 7. Let y(j) = -2*j - 2*j + 2 + 3*j + 2*j. Let n(z) = 2*a(z) - 9*y(z). Determine n(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143113054 (base 6) to base 4\nAnswer: 23033333122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 0.2?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*t + 756 = -1774*t + 897*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 12*x - 20. Let s be n(-10). Suppose 53*g - 234 = 47*g. Suppose -36*v + g*v = s. Is 3 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-6)*98\/24. Let y = 298\/27 + d. Is y at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 16 = 2*q. What is the common denominator of 6\/44*(-18 - q) and 34*((-4)\/(-3))\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/4)*(o*o*o**(-2\/13)*o)\/o*(o**0)**(-23) assuming o is positive.\nAnswer: o**(57\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*f = -14, -2*f - 3*f - 20 = -5*k. Suppose -k*w = 0, 2*y + 0*w = -w - 106. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -2319452.\nAnswer: -69\/2319452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785, 314, -157, -628, -1099, -1570?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -1\/2*y**3 + 0*y + 16*y**2 - 1\/4*y**4 - 5 + 1\/60*y**5. Calculate q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 229*w**3 + 2608417*w - 2608417*w.\nAnswer: -229*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 691*b + 190*b + 577*b to the form p*b + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 33. Suppose k*f = 6*f. Suppose f = -9*u + 11*u - 36. What is the lowest common multiple of u and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.029, 18, 6\/5?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 817878539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (19 - (-5 + 24))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 532801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(825))\/(sqrt(3) + sqrt(363) + sqrt(363) + sqrt(363)*-1 + sqrt(363) + sqrt(3)) + sqrt(11)*5*-1 + sqrt(704) + sqrt(704)*-5.\nAnswer: -301*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, -1, -27, -73, -145, -249, -391?\n\"Answer: -b**3 - b**2 - 2*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3163 divided by 1.\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 = 44. Let t = u + -21. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 7942.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/31 or 19964583?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c0c - a42a?\nAnswer: -c339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2544 divided by 48\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8172 and 6314796?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**3 - p**2 + 6*p - 5. Let n(l) = -6*l**3 - l**2 + 6*l - 4. What is 4*b(z) - 5*n(z)?\nAnswer: 2*z**3 + z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v**2 - 5*v - 7. Suppose 4*y + 8 = 4*k, -3*y - 2*y + 5 = -2*k. Let s be c(k). Which is bigger: s or -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 19 + 25 + -35 - (18 + -2)) + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-36)\/(-120)*196\/(-150). Let j = -31429\/2775 + 460\/37. Let n = r + j. Calculate the common denominator of 101\/4 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p**3\/3 + 14. Let s(b) = -48*b**2. Give s(l(f)).\nAnswer: -192*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2613 divided by 4328\nAnswer: 2613\/4328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/112 and 109\/576.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x - 17369 = -18713 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.97 - -24. Sort 2\/5, f, 3 in descending order.\nAnswer: 3, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17394356579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:35 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3264 divided by 12\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -881 - -29. Let r be f\/(-8) - (36\/(-8))\/(-3). Suppose 3*z - z + 5*x - 42 = 0, -5*z = -x - r. Calculate the highest common divisor of z and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + d = 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -5*u**4\/24 - 5*u**3\/6 - 44*u**2 + 25*u. Let x(t) = 5*t + 6. Give -4*s(w) - 3*x(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1883.821 + -1883. Let o = r + -0.78. Let q = 3.959 + o. Which is the nearest to -9? (a) q (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261736\/11 + -23794. Is k not equal to -1\/281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 2, d: 1, j: 2, q: 5, o: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56486 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (1 + sqrt(5))*5)*5)**2 - ((4 + sqrt(80)*1)**2 - sqrt(80))*-1.\nAnswer: 28*sqrt(5) + 3221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 57*j - 442. Is 42 a factor of a(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -114, -374, -872, -1686, -2894?\n\"Answer: -13*s**3 - 2*s**2 - 3*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b - 6. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.829917 to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28645 times 686.6?\nAnswer: 196.67657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 108.425?\nAnswer: 216.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/x**(2\/13))))\/x**(3\/14))\/(x\/(x*x**12)*x*(x\/x**(-2\/5))\/x))**(-13\/3) assuming x is positive.\nAnswer: x**(-3407\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a factor of 357703171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u - 47738 - 66078 - 520.\nAnswer: -27*u - 114336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 109 = -4*x, 47 = 5*o + x - 104. Solve 33*a = o*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*l - 8*l = -3, -5*l = -3*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 5*n + 10 = 20*k, -n = -5*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28.9, -154.5, -2 in increasing order.\nAnswer: -154.5, -28.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:50 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -478 or -476?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n - 18*n - 242*n - 8424 = 0 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016383 is divided by 508191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -83716, 0, -4, -5 in increasing order.\nAnswer: -83716, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 13, -2\/3, -3 in descending order.\nAnswer: 13, 4, 1, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 5 = g - 5*a, -2*g - 12 = 4*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3389293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21682?\nAnswer: 2, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 57966818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -283*t - t + 1583*t + 2. Let y(p) = -p. Give a(y(l)).\nAnswer: -1299*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0647 + 4.9353. Let x = 31 - 31.5. What is the nearest to 2 in -5, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88582346 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, l: 2, j: 7, f: 1, z: 1, o: 5}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:22 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*x + 3 - 1 + 62*x + (0 + 0 + 2)*(-1 - 2*x + 1) - 1 + 1 + 2*x - 2*x + 6*x - 3*x - x - 2*x + 2*x.\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5204 + 4*c - 72*c + 5200 as p*c + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-350)\/600)\/(790\/64) and -77\/2054.\nAnswer: 30810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 11119\/(-109)*(-61)\/1037. Are -0.1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 10:50 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.015, 1\/7, -0.2 in descending order.\nAnswer: 1\/7, -0.015, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/8970 and 49\/1150?\nAnswer: 44850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167522 minus -59304?\nAnswer: -1108218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10133100 (base 4) in base 15?\nAnswer: -56a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(12 - 3) - 0. Let s = -3.38 - -2.986. Let f = 0.394 + s. What is the closest to u in f, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 31. Let x be h(0). Suppose -r = 2*n, 5*n - n = 2*r. Solve r = -2*j + 8, 3*z + 3*j - x = -j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 18 + -13 + (-67 - -130)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/36)\/((-252)\/3969)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -57. Let d = 39 + m. Calculate the greatest common factor of d and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1728 and 89\/384.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 45*o - 254. What is z(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2 - -10979196.21.\nAnswer: 10979193.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 10\/3*t**3 + 1\/3*t**6 + 9*t**4 + 3*t - 30 + 0*t**2 + 0*t**5. What is the third derivative of k(v) wrt v?\nAnswer: 120*v**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1527569 divided by 16\nAnswer: 1527569\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*n + 140 - 141, -3*t - 4*n + 32 = 0. Let x = -4 - -1. Sort x, -5, 10, t in descending order.\nAnswer: 10, t, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - 56223?\nAnswer: -56342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiucwciiciiiicccr. Give prob of sequence ri.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*w = 4, 49*h + 55*h + 14 = 108*h + 6*w for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -408, -1376, -3262, -6372?\n\"Answer: -51*j**3 + j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8728 + -6556. What are the prime factors of z?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/5 - 2*f**2 - 16*f. Let v(t) be the first derivative of m(t). Let d(c) = c**2. Determine d(v(s)).\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c - 275 = 0, 15*j + 31 = 4*j + 9*j - 5*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*m**2 + 57*m**2 - m + 7*m + 318*m**3 + 21*m**2 = 0. Calculate m.\nAnswer: -1\/2, -2\/53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 (base 7) in base 12?\nAnswer: 6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3867586, 7735174, 11602762, 15470350?\nAnswer: 19337938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 16*m**2 - m + 20. Let g be y(14). Suppose -5*h - 138 = -g. What is the remainder when 467 is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 83, 86, 89, 92?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -1\/21*k**3 - 1521\/7*k + 207 - 39\/7*k**2. Factor n(y).\nAnswer: -(y + 39)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1, 66, 10, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -16*h + 241 + 42 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from {t: 7, a: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6161940 to the nearest integer?\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31881?\nAnswer: 3, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68871, -136947, -205023?\n\"Answer: -68076*n - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.11 + 0.11. What is the nearest to o in -1\/3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 0.1\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 2*h**3 + 5*h**3)*(-49*h + 49*h - 2273*h**2 + 713*h**2).\nAnswer: -3120*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4948085313.\nAnswer: 3, 2262499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94059733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 157)\/(-1 - -3). Let x = -75 + m. Calculate the least common multiple of x and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 + t**5\/5 - t**4\/12 - 5*t**3\/6 + 2*t**2. Let q be d(5). Round q to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, -15, -83, -0.3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6624 and 2277.\nAnswer: 72864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 11) in base 14?\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 0 (c) 1\/4 (d) -0.3 (e) 6\/269 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:55 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6))**12*(g\/((g*((g**1*g)\/g)\/g*g*g)\/g))**(5\/2) assuming g is positive.\nAnswer: 1\/sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -6, 310, 626?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:47 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, 11, 3, 2376 in increasing order.\nAnswer: -20, 1, 3, 11, 2376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Let a be (0 + -1)*w\/2. Suppose 0 = 3*k - 5*x - 13 + 3, -2*k - 2*x = 20. Put 3, k, a in increasing order.\nAnswer: k, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, b: 5, w: 1, i: 1, t: 4}. Give prob of picking 1 t and 1 v.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 11, 5, 0 in decreasing order.\nAnswer: 14, 11, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 495807, 991436, 1487065?\n\"Answer: 495629*o + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*y**6 - 47*y**2 + 3*y.\nAnswer: 12600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 != -3075\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52938, 105887, 158852, 211839, 264854?\n\"Answer: x**3 + 2*x**2 + 52936*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2160 + 2171. Solve 2*d - 3*o = -2*d - b, 5*d = o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154967941 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - 0 - 91. Let s(b) = b**3 - 45*b**2 + 44*b + 193. Let z be s(44). Let p = o + z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32115 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -88276 and 3.8.\nAnswer: -335448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let f(i) = 14*i - 2 + 0 + 0. Let v = 259 - 260. Let s be (5 + -8)\/(-3)*v. Calculate s*f(c) - 12*n(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-3))\/(-1)*(-276)\/(-7038)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) -0.3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8*y = 6*y - 1, 5*x - y = 32. Let j(u) = u - 3. Let v(s) = -2*s + 6. Let c(f) = -7*j(f) - 3*v(f). Determine c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/24*3\/1. Let r = 148 - 145. What is the derivative of -247*s**r - 11*s**4 + 247*s**3 - i wrt s?\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - r - 981 = -2*z, 2*z - 402 = -2*r. Let b = z + -193. Solve 12 = -b*g, -5*g - 11 = 2*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3148 - -3298. Calculate the highest common divisor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1 + -4)**2 + -1.\nAnswer: -60*sqrt(7) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 g when four letters picked without replacement from {d: 3, s: 3, g: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-78816)\/(-7880) - 10). Let i = y + 394. Which is bigger: 2\/75 or i?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let x be -1*(-1*6)\/(-3). Let g be (-2)\/2*(-1 - 0). Let b(r) = 5*r**2 + 2. Let l(d) = 1. Let j(s) = g*b(s) + x*l(s). Calculate j(n(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 9\/7 (c) -75 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 5*a**2 + 5*a + 39. Let r(m) = -4*m**2 - 4*m - 38. Let d(n) = -4*r(n) - 3*s(n). Find the second derivative of d(p) wrt p.\nAnswer: -18*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074482726 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1017481*f. Let t(l) = 6*l. Determine i(t(w)).\nAnswer: -6104886*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*s - 9*k + 7450, -4*s = -3*k + 7446. Let a be 7\/((-322)\/s) + 0. Let i = -21035\/506 + a. Find the common denominator of 77\/8 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:30 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*h + 92 + 38 - 24 + 27 wrt h?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n - 4*j - 49, n - 2*j = -21. Let l = n - -17. Find the third derivative of 8*z**l - 4*z**4 - 2*z**2 - z**4 wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + -2*sqrt(72)*2)*-6)**2.\nAnswer: 7776*sqrt(2) + 42201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6072 and 726?\nAnswer: 66792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/234 + (22 - 3192\/144)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -39999, 10 in increasing order.\nAnswer: -39999, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 minus 0.0131207?\nAnswer: 0.3368793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136474809*y**3 - 4*y**2 - 2589973.\nAnswer: -818848854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -1) + (-14)\/7. Let m(p) = -6*p**y + 10*p**2 + 6*p + 2 + 2*p**2 - 5*p**2. Let v be m(-6). Solve -5*a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 1171901*s**3 + 0*s**2 + 1172021*s**3 + 0*s**2 to the form d*s**2 + c*s + k + q*s**3 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-27))\/(3 - 6 - -5). Let a = 10 + -18. Sort x, 2\/17, a in descending order.\nAnswer: x, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/2783 and -25\/2024?\nAnswer: 22264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*a + 405*a + 7*a)*(-4*a - 4 + 4).\nAnswer: -2556*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/((v\/(v\/(v\/v**(2\/35))))\/v)))\/v**(-30) assuming v is positive.\nAnswer: v**(1013\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 2*l - b + 24, 4*l = -25*b + 28*b - 66 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 - 10565*p**3 - 259540*p**2 + 3046100*p - 4969440 = 0?\nAnswer: -2088, -34, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(4\/(-3)) - 391\/(-23) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7 + 5*d - 15 - 2*d**2 - 7*d**2 + 2*d**2 + d**3. Does 15 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*n = -2*i + 264, 11*i - 10*i - 31*n + 29*n = -9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240340, -240296, -240252?\nAnswer: -240208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8818 < 8820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2783 and 1410376.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Suppose 2*n + 10 = 3*a, -3*a + 8 = i*n - 5*n. Let u(x) = 10*x + x**a - 10*x. Let v(w) = -w**2. What is u(v(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -4)\/((-2)\/(4\/2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 3*z**2 + 5*z - 3. Let j(k) be the first derivative of -k**4 + 4*k**3\/3 - 7*k**2\/2 + 4*k + 2. Determine -5*j(a) - 7*s(a).\nAnswer: -a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 4\/5 (c) 43 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1371397808*b*z + 1017247179*b wrt z?\nAnswer: -1371397808*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*w = 2 - 4, 4*q + w = 8. Suppose -3*z + 0*z - 474 = -5*p, -q*p - 4*z + 174 = 0. List the prime factors of p.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26862 times -604\nAnswer: 16224648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 18 + 11*c**2 - 19*c + 73 + 95*c - 22 + 114*c.\nAnswer: 11*c**2 + 190*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 389515\nAnswer: -228\/389515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43993093?\nAnswer: 17, 2587829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 118.19397 smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*i = 0, 0 = u - 6*u + 4*i. Suppose r = -u*r. Let m = -0.3 - 0.1. Which is the second biggest value? (a) m (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4256 and 29890.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y - 2 + y + 77 - 2 - 73. Let c(n) = -2*n - 10*n - 6*n. Calculate 12*a(u) + c(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23*s**3 + 3*s + 2 + 8*s**3 + s**3 + 8*s**3 - 7*s**2 + 8*s**3. Calculate j(5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z + 8. Let d(a) = -11*a - 7. Let k(u) = 22*u + 15. Let l be (0 - -2 - 1)*35\/7. Let b(s) = l*d(s) + 2*k(s). What is -8*b(i) - 5*h(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + 3*p**2)*(p**3 + 2*p**3 - 10*p**3 + (3*p - 3*p - p)*(p**2 + 0*p**2 + 0*p**2)).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11*u**3 - 8*u**2 - 12*u - 397. Let h(c) = -11*c**3 - 8*c**2 - 14*c - 397. Let n(r) = 7*a(r) - 6*h(r). Find the first derivative of n(v) wrt v.\nAnswer: -33*v**2 - 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -25*(-2 + (1 - 0)). Let r = k + -14. Calculate the lowest common multiple of r and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1666*k**2*p**3*v**2 + 14*k**2*p**2*v - 10*k**2*p**2 - 2*k*p*v**2 + 8*k*v**2 - 411*p**4 + 5*p**2 + 2*p*v**2 wrt p.\nAnswer: 9996*k**2*v**2 - 9864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 7*p + 8. Let d be k(-5). Let o(l) = l**3 + 3*l**2 + l. Let v be o(d). What is the second derivative of -5*c + 4 - 4 - v*c**4 wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1216 and 7.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2331, -2333, -2335, -2337?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1196 + -4783\/4. Which is the closest to 1\/4? (a) o (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/21 - r**6\/30 - 179*r**4\/4 + r**3\/6 + 2423*r**2\/2 + 2*r + 167. What is the second derivative of g(v) wrt v?\nAnswer: 40*v**3 - 12*v**2 - 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223262.1 days to microseconds.\nAnswer: 19289845440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -z - 19, -13178 + 13167 = i + 5*z for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - r + 16 = 0, 0 = -4*r + 20 - 4. Suppose -5*b = -9 - 31. Solve 3*o - b = a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 8695*n**3\/3 + 15*n**2 - 30*n. Let z be r(23). Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**5 + 12*u**4 + 28*u**3 - 16*u**2 - 18*u + 4 = 0. What is u?\nAnswer: -1, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x + 276 = -3*c, -376 = -3*x - 5*c. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 0*b + c - 21 = 0, 3*c = -2*b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 91 = -17. Let s = 23 - o. Suppose -34 = s*a - 449. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1031 by 3.\nAnswer: 1031\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 - -123. Let t be 10 - (-30)\/(f\/1). Solve 5*o + i + 9 = 32, -2*o - t = -4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 1\/16 (c) 2 (d) -6\/11 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**2 + 1. What is u(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 2*z + 32, 22*n - 22 = 20*n + 4*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*y - 3*y + 17, 2*m + 6 = 0. Let s be (8 + 0)\/(-2) - y. Suppose -2*j - 313 = -3*b, -343 = -s*b + 4*j - 26. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + 5 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*d = 264, -24*d + 28*d = -24. Let k(q) = -18*q + 4. Let m be k(-4). Calculate the greatest common divisor of m and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0 + 0)*(-8*a + 11*a + a) + a - a + 2*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 102\/98 + 2. Suppose -8*q - 2 - 6 = 0. Is q >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4427 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let p(v) be the second derivative of v**6\/72 + 11*v**3\/6 - 4*v. Let s(i) be the second derivative of p(i). Determine n(s(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -23) + 5 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(1300) + -1).\nAnswer: -24 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7409*q**2 + 42970*q wrt q.\nAnswer: 14818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2 - 1) + 4. Suppose -1 = -n + o. Let c = n + -8. Let y(x) = x. Give y(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36403938 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 + 4.991. Let w = 1 - 0.7. Put p, w, 2 in decreasing order.\nAnswer: p, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 20 = 3*p. Suppose p*f = -3*f + 204. What is the remainder when f is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 + 7*b - 8. Let i be l(5). What is the first derivative of 175 + 160*u**3 - 21744*u**i + 21744*u**2 wrt u?\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from qynndqqnnqqhq.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-36) + (-1)\/(-2). Let l = 3 - 2. Let y be (l - 2)\/(-1)*-2. What is the closest to -0.1 in y, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -0.192684?\nAnswer: -0.492684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggfr when four letters picked without replacement from gffrfffrfgrrrgrrfr.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(30\/(-225)*3\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6256244 to four dps.\nAnswer: -0.6256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -4143 + 4243 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -13 + (2 - -4) - -34?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*f - 657, -3*q + 17*f + 979 = 19*f. Let r = q - 116. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 9831076\nAnswer: 5\/9831076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -4*c - 2*k, 0*c + 3*c - k = 296. Suppose -2*r - 2*r = -c. Solve 0*a = 5*a - r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -760, -1573, -2386, -3199?\n\"Answer: -813*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 - 9*8\/12. Suppose l + 13*f + 20 = x*f, -5*l = 3*f + 86. Which is bigger: -19 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -620 + 619.9. Let w = 0.3 - 0.2. What is the nearest to w in -1\/5, q, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/1 + -4)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00159 + 9250791\nAnswer: 9250790.99841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 3, y: 3, i: 3, f: 8}. Give prob of sequence iif.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 - 29*w - 7. Let q be c(10). What is the second derivative of 18*t - 10*t**q - 48*t**4 - 17*t + 10*t**3 + 23*t wrt t?\nAnswer: -576*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77493139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 529 - 524.13. Let k = -19.13 + 19. Let u = k - r. Which is the closest to 0? (a) -1 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301410.9618 rounded to the nearest one thousand?\nAnswer: -301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -931 + 931. Let z(d) be the third derivative of 0*d**3 - 11\/60*d**5 - 7\/120*d**6 + 11*d**2 + 0*d + o*d**4 + 0. Find the third derivative of z(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 + (-846)\/90)\/(84\/40). Which is smaller: 929 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 78*i - 1922. Let z be g(25). Solve 33*v - z*v - 9 = 3*u, 0 = -2*v + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308 + 251. Is -57 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a gram in milligrams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = -27. Let q = 13 + -8. Suppose 5*w - 24 = 2*s, w + q*s - 39 = -3*w. What is the highest common divisor of o and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n**2 + 67*n**2 - 233*n**2 + 1 + 88*n**2 - 1.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94*q**3 + 5*q**2 - 1177 wrt q?\nAnswer: 282*q**2 + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128 - 111) + -8 + 0 + 7 + 54?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**3 - 1 - v - v**2 + 15*v**3 - 9*v**3. Let m(k) = 3*k**2 + k + 3. Let t(u) = 2*m(u) + 6*q(u). Find the second derivative of t(g) wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 14 + 1)*(-7*r**3 + 7*r**3 - 3*r**5).\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - s = -14763, -3072 = -k - 3*s - 125. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 5195566.\nAnswer: 51955.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (9\/6)\/((-2)\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-8) - 0\/2)*(-43220)\/(-54025).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624b6 (base 15) in base 13?\nAnswer: aba80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2602 - -4507. List the prime factors of y.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.1, 105864\/73, -3, 0.3?\nAnswer: 105864\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/6 + y**3\/3 - 2*y**2\/3 - 4*y\/3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.106.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 11. Let i = q - -1. List the prime factors of -13*1*(i - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 5:17 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = -5*o, 15 = -3*u - o + 3. Let m = 6 - 5. Is (-516)\/u - (m - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/39255 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, 2101 in decreasing order.\nAnswer: 2101, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 79*c + 1601. List the prime factors of j(56).\nAnswer: 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p, -5*h + 5*p - 10*p = -375. Calculate the remainder when 150 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**3 - 6*j**2 + 4*j - 2. Let n(x) = -15*x**3 + 13*x**2 - 9*x + 4. Let l be 10\/55 - (-238)\/22. Suppose -2*q + l = -1. What is q*n(r) + 13*z(r)?\nAnswer: r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**6\/120 + 13*n**5\/60 + n**4\/3 - 3*n**3\/2 - 4*n**2. Let t be b(-12). Is t > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 97627790.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 5, 0 = 3*k + 3*l - 15. Let c = 3 - k. Let v be ((-4)\/8)\/(c\/(-2)). Is -2\/13 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 1. Let t(j) = -13*j**2 + 167*j. Determine -2*m(q) - t(q).\nAnswer: 5*q**2 - 167*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4 + (-190)\/(-48)). Let y be (12\/(-10))\/(i\/(-60)). Calculate the remainder when 14 is divided by 12\/((-6)\/y) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -48b95?\nAnswer: 48b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/1961396 and 63\/19588.\nAnswer: 162795868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 56 + 45 = -b, 0 = 4*g + 2*b + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*x + 5*k - 29, 5*k - 30 = 0. Solve x*v = -38*v - 92 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447961920 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l**3 - 4*l**2 + 4*l - 7. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let g(i) = -4 - 424*i + 210*i + 209*i - 3 + 1. What is 2*g(b) - 11*l(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 38 = 4*i, -1 = -k. Let n be 2\/(-5) + i\/10. Factor 0 + n*f - 2*f**2 + 2*f**3.\nAnswer: f*(2*f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.064725 months to years.\nAnswer: 0.25539375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8800 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**2 + 3140 - 3145 + l - l)*(5 - 1 + 3).\nAnswer: 77*l**2 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((3 - 2) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1)\/(7\/(-14)). Let h be 79*1\/1 + m. What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -11) + (-13 - -29) - -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/252 - 2*b**7\/315 - 3*b**2. Factor r(o).\nAnswer: 4*o**4*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413265307.\nAnswer: 7, 13, 131, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99) + sqrt(11) + 5 - ((sqrt(88) - (sqrt(88) + (sqrt(88)*-3 - sqrt(88))))*-5 + sqrt(88))\/sqrt(8).\nAnswer: 6 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34423, -137808, -310113, -551332, -861459, -1240488, -1688413?\nAnswer: -2205228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 12}. Give prob of sequence rhr.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1547 + 1547 - 10*v)*(4*v - 2*v - v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 210.8372 and -33.\nAnswer: -6957.6276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 730 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(5 + ((sqrt(2) + sqrt(2)*-1)*-1 - (0 + (sqrt(2) - sqrt(18)))) + sqrt(6)\/sqrt(3) + -2 + -5))**2.\nAnswer: -300*sqrt(2) + 551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + 0 - (-52)\/26. Suppose 5 = a*z - 10*z. Let j be ((-5)\/(-25))\/(1\/z). Sort -5, j, 3.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 4*k. Let i(o) be the first derivative of o**4\/4 + 15*o + 1. Let d be i(k). Solve 0 = f - 5*f - 3*r - 31, 3*r + d = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34656, 34501, 34350, 34203?\nAnswer: 34060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t + 1. Let z be -1*(2 - 1)*1. Let i(h) = 8*h**3 + 2*h**2 - 6*h + 6. What is z*i(s) + 6*q(s)?\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**3 + 60*b**2 - 248*b - 480.\nAnswer: 4*(b - 4)*(b + 10)*(2*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 38*b + 146. Give h(41).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010000101110100 (base 2) in base 8?\nAnswer: -420564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 9*z + 5. Let b be u(-5). Let c = -77 - b. What is the highest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 2*r - r - 7*r as s + i*r and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 6 + 3*k - 57*k**3 + 56*k**3 as q + n*k**3 + i*k**2 + m*k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*g = -44, 0*a - g = -5*a + 45. Suppose s = -0*s + a. Solve s = -5*o + o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 6. Let m be -5 + (-3)\/6*-14. What is the first derivative of 3*h**2 + 3 - c*h**2 + h**2 + m*h**2 wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 7*h - 7. Let a be j(-6). Suppose 3*y - 1 = a. Suppose q = -3*q + y. Solve q*o - 5 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*m - o, -m - o = -3*o - 13. Let h(l) = 2*l**2 - l + 1. Let p be h(-2). Let v = 22 - p. Calculate the highest common factor of v and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -7?\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 + 16*t. Let s(d) be the third derivative of d**8\/20160 + 47*d**5\/15 - 62*d**2 + 1. Let z(g) be the third derivative of s(g). What is i(z(v))?\nAnswer: 11*v**4 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 4)*(4 + 5 + 0)*(q + 2 - 2) to the form o + p*q and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-14)*(3\/66)\/((-67)\/(-15812))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 16*u - 16*u + 51*u - 20*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182466 or 182467?\nAnswer: 182467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27258*h**5 + 84*h**2 - 70.\nAnswer: -1635480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -16685, 3, 4, 5, -2 in decreasing order.\nAnswer: 5, 4, 3, -2, -9, -16685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6, v: 1, e: 1, w: 8}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 5 (c) 14754.8 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) + 5 - -6*(1 + sqrt(704)))**2 - (2*sqrt(704)*4 - sqrt(704) - (-5 + sqrt(704) + sqrt(704) + 1))**2.\nAnswer: 912*sqrt(11) + 17001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)*(-1)\/(-2 - -1). Let j(w) be the third derivative of 1\/3*w**3 + 1\/60*w**5 + 1\/24*w**4 + 4*w**2 + 0*w + m. Give j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2323\/312 + 180\/135. Let t = h + -69\/8. Let u = 1 + -1.4. Which is the nearest to t? (a) u (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6223, 6236, 6265, 6316, 6395?\n\"Answer: v**3 + 2*v**2 + 6220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m + 9. Let n(j) = 5*j - 3. Suppose -y - 10 = -2. Determine y*n(h) - 3*v(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*f - 3. Let y = -9 + f. Suppose 2*p = y + 7. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.19308mg to kilograms.\nAnswer: 0.00009219308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12 - (-1)\/(-3). Suppose -2*u - 26 = 4*q, n = -3*q + u + 10 - 27. Let j be 1\/(4 + q + 3). Solve v - 2*v = -j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 3. Let h(k) = 10*k + 9. What is -4*h(f) + 14*t(f)?\nAnswer: 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4585691.\nAnswer: 11, 416881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b99bb (base 14) in base 4?\nAnswer: 13313211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -57. Let r = v - -8. Which is bigger: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*-2*sqrt(126))\/sqrt(6))\/(4*sqrt(21)\/sqrt(3) - sqrt(504)\/sqrt(8)) + -4.\nAnswer: -4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7647, 44271, 105311, 190767, 300639, 434927, 593631?\nAnswer: 776751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:37 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*h + 19 = 73*h - 2*y + 11, 3*h + y = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.6 - 37.5. Which is smaller: p or -660?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -68*b**3 - 4*b**2 - 13*b - 8. Let r be h(-3). Suppose r = w - 268. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243662495?\nAnswer: 5, 29, 1680431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 7*t**2 - 5*t + 4. Let o be i(-6). Let p be o\/6*(10 - 16). Solve -11 = p*q - 4*q - 3*g, -4*q + 5*g = 33 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 9. Let y be 8\/(-78)*3\/(-2). Let t = 1985 - 1986. Which is the nearest to t? (a) y (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5210394 divided by 2605197\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51, 172, 373, 654, 1015, 1456?\n\"Answer: 40*z**2 + z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/3)\/(-2) + 2238\/1008 and 66\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -31*j + 55*j - 23*j - 8 - 4. Suppose a - 5*a - 8 = 4*h, 5*a = h + 8. Let v = a - 1. Determine n(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l + 692 - 832. Let r(o) = 13*o - 11. Give r(l).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 2. Let r = 19 + d. Solve 3*s - 3*b = s - 5, s - 4*b + 15 = r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 541124?\nAnswer: 541102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(160)*-1).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26060915 divided by -1532995.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*7443\/6. Suppose -89 = -7*m + r. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1095481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -57\/2. Let k be (-2*5)\/(0 - 1). Let h be ((-3)\/(-8))\/((-15)\/k). Sort h, o, 1 in increasing order.\nAnswer: h, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1724 + w - 1724.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -189084 (base 10) to base 4\nAnswer: -232022130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -174, -175, -176?\n\"Answer: -m - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(102)*-1)\/sqrt(6))*-1 - (-5*sqrt(102)\/sqrt(2))\/(6*sqrt(9)\/sqrt(3)).\nAnswer: -5 + 11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-117)\/(-18)*6 - (-5 + 1) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 1985*s + 7958. Let l be q(-4). Let c = -8 + 10. Solve -c*a + 4*g - 10 = -g, -a = -g + l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1, -1.6, -0.1 in decreasing order.\nAnswer: 1, -0.1, -1\/2, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -0.3, 9, -225, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110630*p**5 - 809*p**2 + 6*p.\nAnswer: -6637800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -917, -1924, -2933, -3944, -4957, -5972, -6989?\n\"Answer: -y**2 - 1004*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - sqrt(1500)*4*-5)\/(((-3*sqrt(108) + sqrt(108) - sqrt(108)) + sqrt(3))*4).\nAnswer: -105*sqrt(5)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -52, -2\/3, -1, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*k**3*l + 11*k**2*l - 3012*l wrt k.\nAnswer: 231*k**2*l + 22*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 5*v + 9. What are the prime factors of u(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/5)\/(u*(u\/(u\/(u*u\/u**(-4)*u)))\/u*u*u))**(-11\/6))**43)**32 assuming u is positive.\nAnswer: u**(355696\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -6c857?\nAnswer: -6c858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1843, -3662, -5459, -7234, -8987, -10718, -12427?\n\"Answer: 11*n**2 - 1852*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 8 in increasing order.\nAnswer: -5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let n = u - -0.986. Round n to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 185 = 0. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7763?\nAnswer: 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*l**2 + 24*l**2 + 34*l**2 + 3*l - 92*l**2 to c*l + i*l**2 + b and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:45 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z. Let x(n) = -10318*n - 4 + 8537*n + 4. Give y(x(m)).\nAnswer: -3562*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 29*j + 2*x - 5130 = 0, -2*j + 5179 = -5*x. Calculate the smallest common multiple of 8 and j.\nAnswer: 5144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/5 (b) 2\/3 (c) 0.117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/11 - 3132*v\/11 + 18720\/11 = 0. Calculate v.\nAnswer: 6, 1560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-5\/7))\/k**(1\/56))\/(k**21*k)**32 assuming k is positive.\nAnswer: k**(-39273\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/825 and -67\/110.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -709, -1056, -1399, -1738?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(1\/(-10)). Suppose -a = -s + 1. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 19, 18, 3, -4, 12 in increasing order.\nAnswer: -6, -4, 2, 3, 12, 18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 1295455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832566803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/409535990 or -1?\nAnswer: 3\/409535990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18180\/(-42) + 1\/(-7). Let z = 546 + p. List the prime factors of z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1016 at most 21761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Suppose -4*h - 2*y = -66, 2*h - 12 = -5*y + 9. Calculate the remainder when 78\/14 + h\/42 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:30 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -592 (base 14) to base 9\nAnswer: -1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/4 + (-7)\/(-28). Suppose -3*b + 0*b - 12 = 0. Sort 2, b, y in decreasing order.\nAnswer: 2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + o = 49395, -53*p = -50*p + 4*o - 37069. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 10*f**2 - 36*f - 41. Let l(y) = -2*y**3 - 99*y**2 + 53*y + 163. Let s be l(-50). Give p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4650 and 153975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:30 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2. Let m(b) = -866040*b + 4. Determine m(r(o)).\nAnswer: -1732080*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 - 0 - (5 - 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/138937?\nAnswer: -3\/138937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*v + 2, -7 = p + 3*v - 6. Calculate the remainder when 86 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + i - i**2 + 21 + 3*i - 10*i. Let m be h(-7). Let r be m\/(-18) - (4\/(-9))\/(-2). Is r at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from accclaaalal. Give prob of picking 1 c and 1 a.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1080*d - 20. Let x(k) = 152*k**2. What is t(x(r))?\nAnswer: -164160*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -9d145?\nAnswer: 9d147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29657697 and 348562?\nAnswer: 30006259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 3. Let p be 13 - -66*10\/(-60). Let a(y) = 15*y - 10. Give p*a(i) + 7*l(i).\nAnswer: -5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630979663?\nAnswer: 13477, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -113, -867, -2907, -6875, -13413?\n\"Answer: -107*t**3 - t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/280 + 13*c**5\/35 - 4*c**4 + 326*c**2. Let x(j) = 0. Calculate j.\nAnswer: -56, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -971.4971307 + 0.04\nAnswer: -971.4571307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.35939392.\nAnswer: -0.071878784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1 (c) -2028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-628)\/(-16) - (-2)\/(-8). Suppose -4*g = -g - b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82374594?\nAnswer: 2, 3, 13729099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:30 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -424, 2, 11, -4, -2 in descending order.\nAnswer: 11, 2, -2, -4, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27\/26 (b) 4\/3 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/173, 0.95 in decreasing order.\nAnswer: 0.95, -1\/173, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -10)\/((-1)\/(-11)). Let q be (-1)\/5 + s\/5. Find the first derivative of 17*y + 3 - 3 - 2 - q wrt y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 24 - 74. What is the remainder when 15\/6*(-4)\/q - -27 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 121 = 71. Suppose b*w + 2*w = 132. Suppose 5*c + 2 - 32 = 2*m, -m - 4*c = -w. Sort m, -3, 16 in decreasing order.\nAnswer: 16, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726679121 to the power of 1\/2, to the nearest integer?\nAnswer: 52218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3 + 299. Let c = 32 + -13. Calculate the remainder when n is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**3 + 6*a**2 + 20*a + 34. What is c(-2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**3 - 4133*m - 9. Let p(w) = -122*w**3 - 37198*w - 78. Calculate -3*p(t) + 26*z(t).\nAnswer: 2*t**3 + 4136*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -401*a**3*o - 21*a**2*g**2*o + 4*a*g**2 - 131*a*g*o + a*o + g**2*o wrt a.\nAnswer: -2406*a*o - 42*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31950\/(-54))\/(-25) + -21?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1 + (-6 - -18). Suppose -48 = 6*a - d*a. Suppose -z + 2*z = a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 377\/126 + -45\/14. Sort -27\/4, u, -0.3 in decreasing order.\nAnswer: u, -0.3, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 5 - 5)*(16*p**2 + 41*p**2 + 6 - 2*p - 70*p**2).\nAnswer: -143*p**2 - 22*p + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2. Let x be d(-6). Let n be (5\/3)\/((-2)\/(-192)). Let f be (-4)\/(-6) + n\/3. What is the highest common divisor of f and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - -54. Suppose 50*t = 55*t + 1555. Let i = -287 - t. What is the greatest common divisor of i and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/((-6)\/(-48)). Let d(w) = -26*w - a + 4*w**2 + 13*w + 11*w. Let v be d(-3). Calculate the greatest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4960876.32 rounded to the nearest 10000?\nAnswer: -4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 3. Calculate the greatest common divisor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from clccll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(-57) - (-2)\/6. Let q = 0.019 - -0.481. Let v = -3 - 0. What is the smallest value in o, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/3 - 1578164*u**3 - 2801964687938*u**2\/3 - 14943508662880*u - 179320891932800\/3 = 0.\nAnswer: -1183615, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:17 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let b(o) = 164*o. Let z(p) = 83*p. Let u(i) = 4*b(i) - 9*z(i). Determine v(u(x)).\nAnswer: -8281*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 252305*u**2 + 504613*u - 252307.\nAnswer: -(u - 1)**2*(u + 252307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 436\/482870*10\/(-8). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48100 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuyuuumuuuuyu. What is prob of picking 2 u?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a3ee16 (base 15) to base 4\nAnswer: 131233111032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)*w**2)\/(w\/(w*(w*w**6*w*w)\/w*w)*w*w**(-5\/6)*w) assuming w is positive.\nAnswer: w**(1487\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 8011684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 125*d**2 + 13470*d + 530085. Let g(s) = -22*s**2 - 2377*s - 93545. Let r(b) = 40*g(b) + 7*i(b). Suppose r(m) = 0. Calculate m.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5 - 2*t**2 - 3 - t**4 - 1 + t**2. Let x(o) = -o**5 - 4*o**4 - 4*o**2 + o + 4. Let r(n) = 4*j(n) - x(n). Find the second derivative of r(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993 = 4*v - 103. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**7\/w)\/w*w)\/w**(-1\/2))\/((w*w**(-7))\/w**(2\/11))*((w\/(w**12\/w))\/w**(-2))**(-44) assuming w is positive.\nAnswer: w**(8045\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222952695.\nAnswer: 5, 244590539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddmemedemdedmedevmm. Give prob of picking 1 v, 1 e, and 2 m.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 6*n - 14. Let k(x) = x - 2. What is 6*k(u) - l(u)?\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26642925?\nAnswer: 3, 5, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 301746793 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*s**5*x - 6930*s**2*x - s*x - 9317*s + 28*x wrt s.\nAnswer: -680*s**3*x - 13860*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2723 divide 206457899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -2*i**7\/21 - 5*i**3\/6 + 7*i. What is the second derivative of b(f) wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/666072*-87*12\/(-15)\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-4)\/6*-6)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868 >= 5871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14763 divided by 21\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921000 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -18, -d + 2718 = 4*a - 11062. List the prime factors of d.\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -0.4 (c) -0.5 (d) -0.3 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -910\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 9*y - 5. Let u be c(8). Let k = u - -32. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*d + 32, -6*p - 21 = 26*d - 23*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5565, 11220, 16889, 22578, 28293, 34040, 39825?\nAnswer: 45654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(8)\/sqrt(4)*-1)**2 + 2)*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046701 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 4 + 4 + (1 - 1 + 2*u)*(181*u**2 + 111*u**2 + 47*u**2) to the form c*u**3 + f*u**2 + b*u + o and give c.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19447\/13872 - 7\/1156. Find the common denominator of 23\/33 and g.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 17271*v - 5958498. What is r(345)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -979 (b) -0.5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52537 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -214, 3\/7, -1\/7, -67?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14058207?\nAnswer: 3, 733, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 20.98183033355.\nAnswer: 20.48183033355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 770\/(-1078) - (-3)\/7. Which is the nearest to -8? (a) -0.4 (b) 12 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1\/30*f**5 + 1\/45*f**6 + 1\/54*f**4 + 0*f**3 + 0 + 1\/189*f**7 + 0*f**2 - 14*f. Factor y(t).\nAnswer: 2*t**2*(t + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-94 - -75 - (4 + -28)) + (-1 - -108)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from gjjgjjgggg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8640 and 13120?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(567) + 1 + -3)**2.\nAnswer: 72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4730031445 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gljf when four letters picked without replacement from bolojfg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(3150\/(-900) + (-81)\/(-22))*(-2 + 19)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23187967 and 50?\nAnswer: 1159398350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 29570967.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65486*t**3 - 21907*t**2 wrt t?\nAnswer: 392916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -20120021?\nAnswer: 20120033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 5*o + 2. Let m(y) = -1. What is a(d) + 3*m(d)?\nAnswer: -2*d**2 + 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f + 2*m = 25*f + 9, 0 = 5*f - 2*m + 39. Sort f, 0, 731 in ascending order.\nAnswer: f, 0, 731","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -d + 137, 31 + 131 = d + 3*u. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 4*g, 6 = p + 2*p. Let k(h) be the first derivative of 0*h**g - 2\/3*h**3 - 3 + 8*h. Let k(a) = 0. What is a?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 32*g**2 + 61*g - 6. What is the least common multiple of 12 and i(30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 18. Which is greater: d or -2\/19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -231.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 n when four letters picked without replacement from cnnnnncnccn?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -560922, -560787, -560562, -560247, -559842, -559347, -558762?\n\"Answer: 45*k**2 - 560967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/368897 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d + 2. Let l be z(0). Suppose 24 = 3*j - 3*o - 15, 30 = l*j - 3*o. What is the highest common factor of 99 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1115 - 1114.7. Let h = 0.5 - 0.5. Which is the second smallest value? (a) 2\/15 (b) h (c) r (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34377713 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3) + -57)*1. Let q = m + 60. Let 438*s**q + 3*s**2 - 433*s**3 + 2*s**2 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 0, w = -3*s + 24 - 10. Suppose 3*i + 2 = -2*m + 7*m, -2 = -3*m + i. Suppose 5*a - 21 = -m. Put -8, s, a in decreasing order.\nAnswer: s, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 57*g - 17*g - 5*y - 8, -4*y - 3 + 11 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46515497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -495*z + 491*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 802*z + 5. Let c(m) = 1. Suppose 6 = -5*t - r, t - 3*r - r = -18. Let o(i) = t*c(i) - b(i). Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71459\/5 + 14292. Let r = -9.1 - -9. Which is the nearest to 0.8? (a) 0.4 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(1 + sqrt(1331)) - (5 + sqrt(1331)*-2)) + -1*(sqrt(1331)*-2*6 - (sqrt(1331) + 1)*-3))*2)**2.\nAnswer: -6864*sqrt(11) + 192340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*s*v**5 - 4*s*v**2 + v**6 - 5*v wrt v.\nAnswer: 10140*s*v**2 + 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199308 is divided by 2190.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, 3.\nAnswer: -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -6.15. Let f be (-97768)\/2904 - (-35 + 0). Which is the closest to h? (a) 0.3 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -7 = 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125700 and 488973.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 4*s - 2 + 1. Let i be -1*3\/12 - (-1050)\/40. Suppose -3*h + i = 20. Calculate n(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2812540, -2812426, -2812310, -2812192?\nAnswer: -2812072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*a. Solve a*x = -s + 8, 4*x = 5*x - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/81 - (-122)\/(-18). Let s(n) = -10*n - 3. Let m(q) = -7*q - 2. Determine t*m(i) + 5*s(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/20 - 7*t**4\/12 - t**3 + 3*t**2\/2 + 2*t. Let k be b(-6). Let n = -9 - -4. Sort 0, n, k in ascending order.\nAnswer: n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 37*c**2 - 17*c + 21. Let s be l(-18). Let r(m) = -m + 2. Suppose 0 = -q + 2 - 5. Let u be r(q). Solve 4 = -s*j - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349999 divided by -109.\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 4)*(-2*d**2 - 2*d**2 + 3*d**2) + 2*d**2 - 3*d + 3*d)*(2*d**3 + 8*d**3 - 3*d**3 + 4*d**3 - d**3 - 2*d**3 + (-3 - 2*d**3 + 3)*(2 + 3 - 6)).\nAnswer: 40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((0 - -2) + 12\/(-3)). Let a be 3*d\/(-6)*-4. Which is greater: a or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z = 32. Let o(b) = -1 + 5*b**3 + 13*b + 3*b**2 - 16*b**2 - b. Let q(x) = x**3 - x**2 + x + 1. Let y(r) = -o(r) + 4*q(r). Determine y(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(5\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 less than -11.2332776?\nAnswer: 574.7667224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -7.017, -3\/5, 1, 0 in increasing order.\nAnswer: -7.017, -0.9, -3\/5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(5) + sqrt(220)\/sqrt(11))**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364 - 0. Is f a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*m**4 + 58*l*m**2 - l*m + 13*m**5 + 1 wrt m?\nAnswer: -48*l*m + 780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 9:55 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 59*d - 1527. Let t be x(73). What is the highest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/40 + 17*p**4\/72 - 3*p**3\/4 + 7*p**2\/12 + 8600*p. Find a such that u(a) = 0.\nAnswer: -7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**5 - 10*t**4 + 5*t. Let w(s) = 5*s**5 + 11*s**4 - 6*s. Let p = 201 - 207. Let v(l) = p*n(l) - 5*w(l). Factor v(d).\nAnswer: 5*d**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 - 810*a**4 - 4903*a**3 + 5664*a**2 + 39132*a + 29376 = 0.\nAnswer: -6, -2, -1, 3, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**0)\/t)**(-1\/7)*(t\/(t**(3\/2)*t*t))\/t**(-5))**(-28))**(-10\/3) assuming t is positive.\nAnswer: t**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11.1, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 3*h + 3. Let z = 3 + -6. Let y be i(z). Solve -3*w + l - 4 = 0, w + y = 2*w + 3*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/15)\/(2\/(-6))*3. Put n, 5, 0, 3 in descending order.\nAnswer: 5, 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 26 - (26 + -58).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a day in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 878, 1775, 2688, 3617, 4562, 5523?\n\"Answer: 8*t**2 + 873*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/10*80\/(-48) - -231. Let l = -3 + v. Calculate the greatest common factor of 33 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -20*q**3\/3 + 8. Let m(w) be the first derivative of -w**3\/3 - 2. Calculate m(f(a)).\nAnswer: -400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/7 + 30*g**2 - 3828*g\/7 + 6840\/7.\nAnswer: -3*(g - 38)*(g - 30)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(440))\/sqrt(10) + ((sqrt(704) + 1)**2 - sqrt(33)\/(sqrt(3) - 3*sqrt(3) - sqrt(3))))*-3.\nAnswer: -2100 - 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5023978*f**5 + 9*f**4 - 1251*f**2 - 448*f wrt f?\nAnswer: 301438680*f**2 + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3367001 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28244 is divided by 4707.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 262?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1246, 2496, 3760, 5044, 6354, 7696?\n\"Answer: z**3 + z**2 + 1240*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 6)*8\/32 + 0. Let m = 1.6 + -2. Let y = -6 - -9. What is the second smallest value in v, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7842899?\nAnswer: 17, 43, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620724 is divided by 14107.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933449 is divided by 178.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 12, 5?\n\"Answer: -7*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 133442482 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 1\/2 (b) 7 (c) 5 (d) -101 (e) 2\/13 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18*k**2 - 699*k - 4073. Give m(44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2945 divide 416558470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -24*h**2. Let t(z) = 5*z. Calculate w(t(f)).\nAnswer: -600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 3. Let k be (-7)\/(-14) - 9\/2. Let z(b) = -6*b - 4. Suppose j = 4*i + 3, -3*j = -0*i + 3*i + 21. Determine j*q(l) + k*z(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 48, 68?\n\"Answer: 20*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*x + 611*x - 27480 = 0 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 14 = -r + 2*v, 5*v = 5*r + 20. Let u = r - -5. List the prime factors of 15\/(-10)*u*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -37*h**2 - 9*h - 43. Let j be g(-3). Let q = 352 + j. What is the remainder when 17 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 34782257.\nAnswer: -30\/34782257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34710, -69392, -104074, -138756?\n\"Answer: -34682*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 20. Let t(w) = -6*w - 31. Let m be t(-6). Suppose m*p - 1574 = -529. What is the highest common factor of a and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63377 + 63475. Let l be ((-4)\/5)\/(2\/(-315)). What is the highest common factor of l and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 210211?\nAnswer: -210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - bdd7?\nAnswer: -bdd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.6 - -5.9. Let b = x - 1.2. Let z = 1 - b. What is the nearest to 0 in z, 2\/7, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1944727 is divided by 641?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 71. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/5, 5877, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.86 + 0.14. Which is the second smallest value? (a) o (b) 2\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/(-378))\/((-20)\/(-35)))\/((-10)\/8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(f + 1 - 1) + 4*f - 4*f + f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*v = -348*v - 104. Which is the third smallest value? (a) v (b) 15.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 14) to base 3.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 14. Give h(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 2142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(45) + -1 - sqrt(605)*-2))**2.\nAnswer: -300*sqrt(5) + 3161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 + 9*o. Let l be w(-4). Let m be (-2)\/(l\/3) - (-5553)\/54. Let n = m - 120. Which is smaller: n or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 + 0*s**3 + 0*s - 1\/24*s**4 + 3*s**2. Let d(i) = 0*i**2 - i**2 - 4*i**2. Calculate d(f(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from iqgzqiiqigzqqiqqqiq.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.917 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + 1*(-1*(sqrt(2448) + -1) + 4).\nAnswer: -12*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*n + 5*p, 2*p = 2*n + 3*p - 4. Suppose -5*m + n = -2. Solve -2*x + x - 4 = 2*c, x + m = c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 11832130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6766, 6789, 6852, 6979, 7194, 7521, 7984, 8607?\nAnswer: 9414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.8 + 54. Let o = -7.85 + a. Let b = o - 0.35. Which is greater: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1598 = -223. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 29*d - 76. What is q(-20)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25928984 and 46?\nAnswer: 596366632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*n**2*u**2*y - n**2*u*y - 1346*n**2*y + 130*n*u**2*y + 2*n*u**2 - 29*n*y + 9*u**2*y wrt n.\nAnswer: -80*u**2*y - 2*u*y - 2692*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73427 divided by -727?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 69 = -99. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6622\/3 - 2226. Find the common denominator of 115\/696 and k.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13792382101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 11 + 21 = 0. Suppose 5*n - 4*b + 1640045 = 455057, z*n + 473988 = 4*b. Round n to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 408 and -0.1013.\nAnswer: 407.8987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - g**3 + g**3 + (-g**2 + 0*g**2 + 2*g**2)*(0*g**3 + 2*g**3 - 3*g**3) + (-19*g**2 + 19*g**2 + 15*g**4)*(63*g + 4*g + 45*g).\nAnswer: 1681*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*r + 34*r**2 - 31*r**2 - 11 + 11 - 11 + 13 + 2*r**3 - 1652*r**4 wrt r?\nAnswer: -39648*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 4*s + s + s.\nAnswer: -2*s + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {p: 9, h: 6, a: 4}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d. Is 6 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -737 less than -736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47733 divided by -242?\nAnswer: 47733\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -1\/3*w**3 - 9*w + 0*w**2 + 0. Let h(d) = 2 + 0 + 19*d**2 - 2. What is h(c(a))?\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 56784186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.673 (b) -2\/63 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - -5*-1*sqrt(65))\/(sqrt(20)\/sqrt(36)) + -2.\nAnswer: -12*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895184021.\nAnswer: 103, 151, 57557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32913 is divided by 5421.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 94. Let b = -5.051 - -0.051. What is the biggest value in -5\/3, b, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/3 - -5. Find the common denominator of c and 107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - -2 - ((-30 - -33) + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = -4*q + 100, 0 = q + 5. What is the greatest common factor of 210 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - -23. Let h(b) = -2*b + 4. Let q be h(5). Let k = q - -20. Calculate the remainder when o is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 10519 = -13245 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - c = 5, -16*c = -13*c - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let d(i) be the third derivative of -i**3\/6 + i**2. Let b(s) = -2*s**3 - s**2 - 2*s + 4. Suppose 0 = -3*h + 45 - 33. What is h*d(a) + z*b(a)?\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 593*n**6 - 2310*n**2.\nAnswer: 71160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -14, -5, 2\/5, 1, -149, 34?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 5)*(-1)\/2. Let f be 116\/(-30) - (9 - 11) - -2. What is the closest to -1 in 0, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-81) + 2\/3. Which is the fourth smallest value? (a) r (b) -1 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let i(x) be the first derivative of -1\/2*x**2 + 0*x + 5. Give i(l(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1358721, -5435017, -12228841, -21740193, -33969073?\nAnswer: -48915481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*j**4 + 36*j**4 - 10*j**4 + (-3*j**4 + 2*j**4 - j**4)*(-2 + 4 + 0) + (j + 0*j - 3*j)*(j - j + 2*j**3) - 2*j**4 + 0 + 0 - 2*j**4 - 3 + 3.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*o**3*x**2*z - o**3 + 2*o**2*x**2*z + 3*o**2*x*z + 3*o*x*z + 106*o*x wrt x.\nAnswer: 142*o**3*z + 4*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083026354?\nAnswer: 2, 11, 185592107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33 + -10 + 1\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2847 + 4350. What are the prime factors of f?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31\/6, -790\/11, 2, -49 in increasing order.\nAnswer: -790\/11, -49, -31\/6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437 - 139. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 4162 + 6905. List the prime factors of w.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*z. Let h(u) = -5*u**2 + 0 + z. Let b(t) = 2*t. Give b(h(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*k + v + 2*v, 2*k - 5*v + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -4?\nAnswer: -145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -88780375 divided by -17756075\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**44)**50 assuming d is positive.\nAnswer: d**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15103*x + 15079*x = 264 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (19 - 11 - 15) + 24 + 30.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*n - 1, 3*n = -5*k - 16. Let m(c) = c**2 - 8*c - 6. Let h(l) = -l**2 + 4*l + 3. Let b(u) = 5*h(u) + 3*m(u). Calculate b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-36)*((-750)\/20)\/(-25).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18)*z*z**(2\/5)*z\/z**(-1\/16)*z**6\/z assuming z is positive.\nAnswer: z**(-843\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 + 45. Suppose 17*u + m = 18*u. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 603046448*q**3 - 242251269*q**2 wrt q.\nAnswer: 3618278688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003 is divided by 383.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let r be 18 - (-4 + 6)*-1. Let p = 21 - r. Let g(o) = 9*o + 4. Let d(l) = p*g(l) + 2*z(l). Find the first derivative of d(h) wrt h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -556\/155 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4250014 - 134*p**3 - 52*p**3 - 4250018)*(-3 + 0 + 2) to the form i*p**3 + j*p**2 + o + t*p and give i.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*s - 440*i**2*s + i**2 + 6*i*s - 50*i wrt i.\nAnswer: -18*i*s - 880*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7234098 divided by 2622\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**3 + 47*f**3 - 34*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11583711 + 11583702 - 33*l**3 - 23167413.\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/4160 > -1\/1659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*f + 2*m, -13*f - 5*m = -18*f + 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmvv. What is prob of sequence mfvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577183629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18))\/sqrt(6) + sqrt(108)*1.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 7364, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*v + 304*v = -5*h + 45, -2*v = -3*h + 26 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -30292000 to the nearest one hundred thousand.\nAnswer: -30300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -118, -138?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 35 = -25*b - 4*o, -b + o = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3*g**6\/10 + g**4\/6 - g**3\/3 + 3*g**2 - 4*g - 5. What is the second derivative of p(b) wrt b?\nAnswer: 108*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -19.6. Let l = x - -32.4. Let f = 22.93 - l. Which is the second smallest value? (a) f (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 17*b**5 - 24*b**5 + 15*b**5 + (-2*b - 1 + 1)*(-b**4 + 2*b**4 + b**4) + 0*b**5 + 0*b**5 + 2*b**5.\nAnswer: 6*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701229289 a multiple of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 4*h**2 - 18 + 0*h + 0*h**3 - 13\/4*h**4. What is the second derivative of i(z) wrt z?\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -0.1, 0.068, 620\/3, 1.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 2*c - 9. Let j be g(5). Let l(n) = 41*n + 4. Let a be l(j). Suppose 0*p = -5*p + a. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/160 + -1\/32. Let o = -1.9 - -2.9. Which is the nearest to -0.3? (a) l (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 473*a**2 + 6*a + 417. Let i(m) = 947*m**2 + 13*m + 833. Let v(d) = -6*i(d) + 13*t(d). What is the derivative of v(p) wrt p?\nAnswer: 934*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-1 - 6) + (25 - (58 + -29 - 76)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011110011110 (base 2) in base 11?\nAnswer: -a774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xldcqjd. What is prob of picking 1 d and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 70*n + 15. Let o(r) = -7*r - 3. Let f(u) = -2*g(u) - 10*o(u). Let z(s) = 3*s**2. Determine z(f(m)).\nAnswer: 14700*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -23. Suppose -9 = 4*q - 2*q + p, -25 = 4*q - 5*p. Let v be q + 12\/4 + 0. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134145881.\nAnswer: 59, 2273659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-30))\/((-1)\/(-6)). Is -0.2 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-56)*1488\/1860\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - k - 10 = 0, -2*k - 17 = -7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 357197 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2\/4 - 6092421*m\/2 - 12372531213747\/4 = 0. What is m?\nAnswer: -2030807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*l - 1 = -h, 5*h = 2*l - 13. Let z = 72 - 72. Sort h, -2, z in descending order.\nAnswer: z, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0968 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let p(s) be the first derivative of 21 + 0*s - 5\/2*s**2. Calculate p(l(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/13, -0.3, 0, 80?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*m + 72*m + 380 = -62*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/15))\/l*l)\/(l*l**(-9\/7)*l))\/(l\/l**3)**(12\/7) assuming l is positive.\nAnswer: l**(376\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 140 + 28 = 0. Suppose -3 - y = -n. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/23 - (-130306748)\/12052. Calculate the greatest common divisor of f and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**3 + 8*y**2 - 18 - 1637*y - 2*y**2 + 819*y + 818*y.\nAnswer: -30*y**3 + 6*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -944 = 202*m - 194*m. Let t = m - -118. Let k(q) = -2*q**2 + q - 3. Determine k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.175 rounded to 1 dp?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 250766451 to the power of 1\/3, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -72570995 smaller than -72570989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 + 0 = 0. Which is the fourth biggest value? (a) 3 (b) z (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 7. What is the remainder when 8 is divided by (-4)\/l*24\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17 = l, 4*x = -11*l + 15*l - 40. Solve 2*h - 5*i = 4*h + 6, 0 = l*h + 5*i + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -78\/5. Let r = 20 + -25. Which is the third biggest value? (a) r (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*g + 0 + 6 = 0, g = 2. Suppose -3*y = -4*s + 29, -2*y + 45 = 5*s + t*y. Let l(j) = j**2 - 3*j - 8. What is the tens digit of l(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (21 - 41)) + 2 + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 7 + 2*c**2 - 7 + (-104*c + 14*c - 32*c)*(4*c + 2 - c - c).\nAnswer: -242*c**2 - 244*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 10, 4*g - 8*g = -k - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 7*m**2 + 9*m + 10. Suppose -x - 7 = -3*z, 4*x = z + z + 12. Suppose 3*d - z*w = -24, 17 = -3*d + 3*w - 7. Determine i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12440 + 11830.06. Let o = d + 610. What is the closest to 1\/5 in 2, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -229060 (b) 2 (c) 9.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*c + 274, -1440*o + 1444*o - 309 = 3*c. Calculate the highest common factor of 88 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/5 - 3*i**4\/4 + 2*i**3\/3 - 6. Factor y(f).\nAnswer: f**2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 + (-205)\/(-70). Solve 0 - w*d**3 - 2\/7*d - 4\/7*d**4 - 8\/7*d**2 = 0 for d.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 11*n**2 - n + 13. Let b(q) = q**3 - q**2 + q + 1. Let h(j) = 2*b(j) + y(j). Let l be h(-13). Solve 2*w = -l*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559321058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1737 - 4026. Is d != -2291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16634 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -0.1. Let v = 3.5 - 4. Which is the smallest value? (a) w (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2126.159m?\nAnswer: 2126159000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 325*j**5\/3 + 18995*j**4\/3 + 262400*j**3\/3 - 442520*j**2\/3 + 59600*j - 6000 = 0?\nAnswer: -30, 2\/13, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(0 - 2 + 0)*(-5*z + 0*z + 3*z)*(3 - 4 - 1).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 16. Let o be n - (-4)\/(-8)*0. Suppose 3*t = -5*x + 97, t - o - 3 = -x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1358181 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1444671, -2889343, -4334015, -5778687, -7223359?\nAnswer: -8668031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + 4 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89960062 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 - 7*q - 4. Suppose 20*x = 14*x - 54. Let m be z(x). Let b = m + 21. Sort -8, 1, b in decreasing order.\nAnswer: 1, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -246, -4\/7, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25917 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289 + -283. Let k be (-32)\/(-192) - (-131)\/l. Calculate the highest common factor of 374 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/10)\/((-6)\/15). Suppose 0 = -2*i - 5 - 9. Let a = 12 + i. Solve 4*u - 5*h = -28, -2*u + a + 3 = k*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 33 + 250 = 4*j, 4*k = -j + 67. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 12}. Give prob of picking 3 f.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 181. Let g = k + 60. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (14 - 20 - -1 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1123 + 504 = 212*g + 143. What is the closest to -3\/5 in 3, g, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.968197 - -0.117723. Let i = j - 9.1. What is i rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 4:40 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.2. Let x(a) = a + 1. Let o be x(-4). Let n = 0.3142 - -0.0858. What is the third biggest value in p, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*r = 14, -2*a - 2*a + r = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = d + 2*d - 3, -d = 2*p + 2. Suppose 3*k = -d*w - 3*w - 30, 0 = -2*w + 3*k + 5. Which is bigger: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3 = -l. Suppose -15 = -4*w + z, -5*w - l*z + 3 = z. Factor -5*u**3 + 0*u**w + 4*u**3 - 3*u**2 - 1 - 3*u.\nAnswer: -(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*j + 4, 5*j - 3 = -114*f + 112*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 765*f**2 + 12770*f + 28560.\nAnswer: -5*(f - 17)*(f + 2)*(f + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 387?\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*4\/(-6)*9\/6. Let x(h) be the second derivative of h**4\/12 - 3*h**2 - 10*h + 36. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15504 and 1389937.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350076919?\nAnswer: 19, 257, 71693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 - 2)*(u - 6 - 13 - 29 + (-2 - 2 + 7)*(-1 - u + 1))*(-1 - u**3 + 1) + 0*u**4 - u**4 + 3*u**4.\nAnswer: 12*u**4 + 240*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/20 + l**2. Let p(d) be the second derivative of -d**4\/4 + 2*d - 4. Determine p(c(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 65*y**2 + 1\/6*y**3 + 1 + 0*y**4 - 17\/60*y**5 + 0*y. What is h(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337867 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 634151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwzw when four letters picked without replacement from {z: 10, w: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 6 - (2 - -1)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - 4. Let f = 0.6 + d. Which is the second biggest value? (a) -0.3 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -15*c**3 + 5*c**2 - 6*c - 5. Let p(j) = -j**3 + j**2 - j - 1. Let s(y) = -5*p(y) + z(y). What is the second derivative of s(x) wrt x?\nAnswer: -60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.4 + -8.5. What is the fourth biggest value in 4, j, 12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 363 = -3*r, 4*r - 357 = -v + 132. List the prime factors of r.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 2\/7, 1, -1\/12 in decreasing order.\nAnswer: 1, 2\/7, 0.1, -1\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 19, -1167, 3, 4, -2, -5 in decreasing order.\nAnswer: 19, 10, 4, 3, -2, -5, -1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1103 - -1107. Let u = -2.3 - -0.3. Sort j, -28, u in increasing order.\nAnswer: -28, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 16*o**2 + 27*o - 19. Let q be c(-14). Put -32, -0.5, q in increasing order.\nAnswer: -32, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205294?\nAnswer: 2, 102647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20*r - 358. Calculate t(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 - 0.168. Let u = a + -4.012. Let o = 0.1 + -0.6. Sort u, 1\/2, o in ascending order.\nAnswer: u, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = -1270*h + 1263*h. Suppose -4*j + 12 = -x, x - 14 = -5*j + 2*x. Let p(i) = 1 - j*i**2 + 0*i**2 - 3*i**2 - i. Determine p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -5\/3, 6\/23 in descending order.\nAnswer: 6\/23, -4\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: aa (base 15) to base 11\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (4\/18 - 141\/27). Sort b, -0.3, 2\/15, 0 in descending order.\nAnswer: 2\/15, 0, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1619*t**2 - 3342*t + 3342*t.\nAnswer: 1619*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1239707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 6807*d**2 - 66635 + 66635.\nAnswer: 6801*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -105. Let q(h) = -h**2 + 4*h + 1. What is q(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -32. Suppose 3*i - r = r + 7, -5*i + 13 = -2*r. Put l, i, 4 in decreasing order.\nAnswer: 4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:43 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**(-48)\/((((k**1*k)\/k*k)\/k)\/k**(-2\/7)))**21 assuming k is positive.\nAnswer: k**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(3 + 4 - 2)*(-d - 3*d + 3*d - 2).\nAnswer: -15*d - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2\/5 + 87*w\/5 + 567\/5 = 0. Calculate w.\nAnswer: -21\/4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 72693*o**2 + 8751930*o = 0.\nAnswer: 0, 121, 24110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25902\/511, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let p = g + 3. Solve y = -1 - p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13889143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1224 and 5406?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 85*g**5 + 11173*g**3 - 11173*g**3 + (-2*g**5 - 5*g**5 + 4*g**5)*(-4 + 5 + 0).\nAnswer: -88*g**5 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w = 5. Let m be w*4\/(-150)*-3. What is the closest to -2\/3 in 5, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/(-45))\/((-2)\/9). Solve u*j - 20 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 - 3 + 4*p)*(2*p - 2*p - p).\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 6*g = 28*g - 41 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 830*g**3*p**3 + 11*g**3 - 304*g**2*p**4 + 288*g*p - 19*p wrt p?\nAnswer: 4980*g**3*p - 3648*g**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -46. Let j(k) = -4*k**2 + 5*k + 5. Let x(g) = g + 1. Let y(l) = -j(l) - 2*x(l). Let n be y(6). What is the greatest common factor of n and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*p**5 + 193*p**4 - 141*p**4 + 4*p**5 + 48*p**3 = 0. Calculate p.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let x = c + -1. Let m = 6 - 4. Solve -3*l - x*k = 17, -l + k = m*l + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -839422, -3357680, -7554776, -13430710, -20985482, -30219092, -41131540?\n\"Answer: -839419*g**2 - g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11085 equal to 1075257\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(7\/4)*s)\/s))\/s)\/((s*s**4)\/s))\/(s**0\/(s**(-6\/5)\/s)) assuming s is positive.\nAnswer: s**(-159\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h**4\/2 + 48*h**3 + 285*h**2\/2 + 75*h = 0. Calculate h.\nAnswer: -5, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-162)\/10 - 8\/10. Let h be 9\/(-3) - 2 - o. Which is smaller: h or 13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -629 - -631. Let y = 0.012 - 0.112. What is the nearest to w in y, -5, -14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3230467935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssvssssssss. What is prob of sequence sv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -319, 3, 1.7, -3, -5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-5)\/(-45)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*s + 17, -4*k + 18*s = 13*s - 10. What is the fifth smallest value in 0.4, k, -10, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/15 + -1 + 14\/3. Suppose -3*d = w - 51, 4*w = -b*d + 2*d + 34. Suppose 0*j = -2*j + 68. What is the highest common divisor of j and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*r = 2*w - 1632, 0*w + 20*w - 18*w - 5*r + 96 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**3 + 7*f**2 - 7*f - 7. Let k(n) = 4*n**3 - 5*n**2 + 5*n + 5. Let p be 26\/(-4) + (-2)\/4. Calculate p*k(q) - 5*g(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8520 and 240?\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adra when four letters picked without replacement from raaadaaardraaaadaa.\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1831 - -506.1831. Which is smaller: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2140\/9 - -238. Suppose 5*g - 6 = -0*a + 4*a, 0 = -g + 3*a + 10. Let r = 0.02 - 0.42. Put r, b, g in decreasing order.\nAnswer: b, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y - 7. Let n be -4 + (-1 - 24\/(-3)). Let j(i) be the second derivative of 0 - 2*i**2 + 5\/6*i**n - 2*i. Determine 5*j(k) - 3*v(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 5 + 1 - 57\/19*-4?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*j + 72*j + 180*j)*(j + j**2 - j) - 15*j**2 - j**3 + 5*j**2 + 3*j**3.\nAnswer: 279*j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {u: 1, a: 3, n: 1, f: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1246212 or 1246211?\nAnswer: 1246212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121 - -2?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 285638*y. Let z(w) = 253*w. Let a(i) = 2*s(i) - 2259*z(i). Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - y = 8, -10*y = -v - 5*y - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (12 - 5 - (4 - (-9 - (27 + 3))))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242113410 (base 5) to base 2\nAnswer: 100010011101100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 110 + -2?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-21)*y*y\/(y**(-1\/2)\/y)*y assuming y is positive.\nAnswer: y**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3959\/6 - 660. What is the closest to 0.2 in 4, -0.4, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, -33, -10, 2\/7.\nAnswer: -33, -10, -5, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + c + 0)*(-16 - 10 + 24 + 4*c).\nAnswer: 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329486637 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1176 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 6, -5, 428, 5 in ascending order.\nAnswer: -5, -2, 4, 5, 6, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -9, -4 in decreasing order.\nAnswer: 5, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 90*c**2 - c + 111. Determine l(90).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, h: 5, c: 2, a: 1, p: 4}. Give prob of sequence fpf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let q be f(6). Let v = 14 + q. What is the closest to 1\/4 in v, -2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141*r + 437.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.98 (b) -1 (c) 4\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - 2\/9. Let n = -1.595 + 1.6. Let t = -0.495 - n. Which is the nearest to 1\/4? (a) t (b) d (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + 0.35. Which is the nearest to s? (a) -4 (b) 1\/6 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*p + 17 = -3*z, 4*p - 14 = 2*z. Let f = z + 9. Let b(t) = -t**3 - 5*t**2 - 7*t - 8. Let g be b(-4). Solve f*d - g*d - 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 37 = -26 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/10)\/(2178\/440).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 + 319. Let i be (6\/((-12)\/m))\/(-1). Let z = i + -18. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20.5 in -3\/2, -2\/9, 2\/3, -1\/6, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52\/253 - -16161\/3542. What is the common denominator of q and (1\/(-8)*3)\/2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + -14 + (-14)\/2. Suppose 14 = 4*n - o - 4*o, 0 = n + 4*o + 7. Let f be -2*c\/(-6) + n. What is the nearest to f in -5, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*1 - (-27)\/9)\/(-2 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thomu. What is prob of sequence ohm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - w - 8 = 0, -5*k = -2*k - 4*w - 17. Suppose -934800 = 9*h + k*h. Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 338, -3\/14, 0.3 in decreasing order.\nAnswer: 338, 0.3, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -r - 6 - 12, -4*o - r + 18 = 0. Suppose o*b + j = -0*j + 97, 0 = -b - j + 22. Suppose 0 = -2*x - 3*x + b, -2*g + 47 = 5*x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-5 - -5 - -4) - 17) + 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -10*l + 9. Let g be 10\/7*14\/(-70). Sort l, 0.03, g.\nAnswer: g, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206019 or -1854169\/9?\nAnswer: -1854169\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 566938465 to the nearest integer?\nAnswer: 23810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Let j(y) = -184316*y + 2 - 7 + 184310*y. Let w(v) = -3*v - 3. Calculate p*w(n) - 3*j(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 14 + 0 - 7.\nAnswer: -5*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 + 8*o - 49. Let l be f(7). Solve j = -2, -l*i = -3*i + 4*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/15, 2, 0.5, 1, -5, -2\/13 in descending order.\nAnswer: 2, 1, 0.5, -2\/13, -13\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-132)\/140*(-40)\/840 and 23\/20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 + 4.964. Let u = -0.16 + 6.16. Let s = u + -3. Which is the third biggest value? (a) -0.1 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m. Let l(y) = -3*y. Let p(b) = -3*a(b) - 3*l(b). Let z = 1 - 0. Calculate the least common multiple of p(-3) and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*s - 417 = -23*s + 15 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g - 4. Let b be n(-2). Let o = 0 - b. Calculate the smallest common multiple of (22\/(-5))\/((-2)\/10) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2672248.\nAnswer: 534449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w - 4. Let v(y) = -5 - 9*y - y - 2*y + 3*y. What is -5*a(l) + 4*v(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 - 0.2?\nAnswer: -1422.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 455 + 317 = 5*c, -c + 172 = 4*s. Round c to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.277 - 3.933. Let v = -2.21 - o. Suppose d + 1 = -0. Which is the smallest value? (a) 1\/30 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -7 (c) 224\/71 (d) 2\/3 (e) 1\/4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1601, -3199, -4797, -6395?\nAnswer: -7993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 574 and 21238?\nAnswer: 21238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5757 + 23763. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 94\/(0 - 12\/(-38)). Let k = 1609\/6 - d. What is the common denominator of (-876)\/8*2\/(-12) and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 8 = 3*m. Let t be ((-8)\/m)\/((-8)\/60). Solve -z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*k*l**2*p - 132*k*l*p - 4*k*l - k*p - 2*l**3 + 42*l**2*p wrt l?\nAnswer: -64*k*p - 12*l + 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 19. Let j be (-34)\/(-52) - v\/(-13). Which is the closest to 1? (a) 1 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, -4, -4142 in ascending order.\nAnswer: -4142, -4, -2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 9*u**2 + 7*u + 9. Suppose 5*l + 35 = 0, 91*z = 94*z - 5*l - 56. Give n(z).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = m - 10, m + 5*r - 19 = -0*r. Let g = -6 - 3. Let f = g + 6. Put -5, m, f in decreasing order.\nAnswer: m, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -203, -410, -689, -1040, -1463?\n\"Answer: -36*f**2 - 27*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -12, 3, 1 in decreasing order.\nAnswer: 3, 1, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.391 - 179.609. Let t = -181 - y. Put t, 0.4, -1\/5 in decreasing order.\nAnswer: 0.4, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 14.8869 (c) -4\/5 (d) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067107605 rounded to 6 dps?\nAnswer: 0.006711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.3 (c) 1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299003 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 179.34 (b) -2\/5 (c) -4\/9 (d) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4011 + 146167.7575?\nAnswer: 142156.7575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1629641.1 seconds?\nAnswer: 27160.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-300\nAnswer: -299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/56*(-117)\/(-2808).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 805 + 155. Calculate the remainder when 93 is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31492143, 62984290, 94476437, 125968584, 157460731?\nAnswer: 188952878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7284 - 4*p**3 + 2*p**3 + 3640 + 3644 + p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 907317 = 30*l - 29*l, -4 = -2*l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 196405, 397835, 599263, 800689?\n\"Answer: -v**2 + 201433*v - 5027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 + 1 + -2). Let s(t) = -t**2 - 13*t - 27. Suppose 0 = -b - 4, 2*o + 11 = -3*o + b. Let m be s(o). Solve f = m*d + 2*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.5386 litres in millilitres?\nAnswer: 123538.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.1 (c) 18.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1053 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027 take away 25?\nAnswer: -24.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 25*s**2 - 1106*s + 95. Give o(48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3510 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15220402 (base 6) to base 11\nAnswer: -333368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461 + -322. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1*(sqrt(66) + (sqrt(66)*1 - sqrt(66))))\/(-2*sqrt(6)*2))**2 + 1 + sqrt(11)*-2*6 + sqrt(33)\/sqrt(3)*2).\nAnswer: -27\/4 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -100, -125?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11400 and 900.\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 8*a + 510. Suppose -4*g + 113 = 5*v, -2*v - 52 = -1682*g + 1680*g. Give z(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -2, 9, -1\/4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3906*m**2 - 24*m + 59. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5757012 - 1?\nAnswer: 5757011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2622 (base 7) to base 5\nAnswer: -12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/3 + 1340*t\/3 + 448900\/3 = 0?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1534185195 and 465.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 9*r**2 - 20*r + 20. Let k be n(-11). Suppose -12 = -5*c + 2*c. Suppose 10 = 5*j - 4*s + 40, 18 = -c*j + 2*s. Is j > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -0.052, -0.3, -2?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/516 and -125\/8900454.\nAnswer: 765439044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6*(-3)\/(-4). Let a(t) = 2 - 2 + 11*t + t**x - 2 + 6*t**2. Let s(v) = 8*v**2 + 12*v - 2. What is 6*a(z) - 5*s(z)?\nAnswer: 2*z**2 + 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - p + 15. Let j be c(-4). Solve 7*z - j*z = 4*b, -2*b - 5*z + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 i, and 2 f when four letters picked without replacement from ifffyyyff.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/54 - 7*j**3\/27 + 20*j**2\/3 - 2*j + 3. Factor z(w).\nAnswer: -2*(w - 5)*(w + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*6*2\/8. Let u(q) = 1 + s - 2*q - 3*q**2 + 6*q**2. Let y be u(8). What is the highest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*z - 211, -2*i - 78 - 10 = -2*z. Sort i, -4, 8 in ascending order.\nAnswer: i, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-4095))\/(1\/3)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -49 - (52 + -33 - 4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1306 (base 8) to base 9.\nAnswer: -868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 16 = 2*k. What is the smallest common multiple of (-13)\/(k - (3 - -2)) and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**3 - 21*u**2 - 28*u + 101. Let c be o(13). Is c at most -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = m + 2*m - 3*i, -5*m + 2*i = 150. Let d be 4\/m - 22\/16. Which is the second biggest value? (a) -3 (b) 2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 66*o**2. Let g(b) be the second derivative of b**4\/6 - 1080*b. Give u(g(l)).\nAnswer: 264*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(51)*3*3)\/(sqrt(21)\/(sqrt(49)\/sqrt(7))))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 717584 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = 0. Let q(d) be the third derivative of -d**5\/30 - d**4\/24 + 10*d**3\/3 - d**2 - 90*d. Is 10 a factor of q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -5, 24180, -4, 1, 4 in ascending order.\nAnswer: -5, -4, -2, 1, 4, 16, 24180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 - 406 - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 52252032*j**2 + 170641916747604*j + 1706424392683240 = 0.\nAnswer: -10, 6531509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10687*i**3*m**2 + 769*i*m**3 + m**3 - 15*m**2 + 588*m - 1908 wrt i?\nAnswer: -32061*i**2*m**2 + 769*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -1 + (61 - 27 - 24)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t - 3. Let l be x(1). Let c(o) = o**3 - 8*o**2 + 4*o - 8. Calculate the remainder when 45 is divided by c(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -3383 and -3384 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -239*a - 203. List the prime factors of j(-4).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.01, -0.3, -1\/3, -5, -4.48, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(24) + (sqrt(24) - sqrt(120)\/sqrt(5)) + sqrt(24)) - (sqrt(180) - sqrt(5))*-2.\nAnswer: 41*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 13. Let z = y - 22. What are the prime factors of (z\/15)\/(2\/(-50))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - 1*(-3)\/((9\/(-4))\/(-3)). Which is the nearest to -2? (a) h (b) -1\/9 (c) -0.3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let g(w) = -w**3 + 8*w**2 - 5*w - 10. Let b be g(7). Suppose 4*x + b*a = -8, a - 6 = 3*x - 0. Calculate r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 5. What is x(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 s when four letters picked without replacement from {w: 15, s: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6264, 8907, 13334, 19563, 27612, 37499, 49242, 62859?\n\"Answer: 3*w**3 + 874*w**2 + 5387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172514 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1343 or 1351?\nAnswer: 1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -113, 0, -4, 1\/4, -3, -92?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378 - 2245\/6. Suppose 2*q = -5*a + 115, -3*a = -5*q + 2*a + 235. Find the common denominator of j and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/754 - (144\/406 - 1)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/7 (c) 561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 158577780.4274548 and 4.\nAnswer: 158577784.4274548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -28\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1 + 3 - 7*v + 0 + 3 - 2. Determine r(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6563*g - 2495*g - 2652*g - 3.\nAnswer: 1416*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -177? (a) -0.2 (b) 1925 (c) -4 (d) -2 (e) 2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let q(z) = 8*z**2 + 32. Give q(v(h)).\nAnswer: 8*h**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -674 + 752. Sort -2, 2, d, 0 in ascending order.\nAnswer: -2, 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 171. Let j(g) = -7*g + 340. Determine 5*c(m) - 2*j(m).\nAnswer: -m + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16895 by 31.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 2*s + 3*i + 30, -3*s + 163 = i. Differentiate 150 - s - 53 - 4*x**3 wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 119.8340514 seconds?\nAnswer: 0.0001981383125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -4, -200, -307?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24469693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 478*4694\nAnswer: 2243732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 3. Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201498, -201488, -201480, -201474, -201470?\nAnswer: -201468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1a61?\nAnswer: -1a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 7\/9) + 6440\/180. Let i(w) = -w**2 + 4*w - 2. Let g be i(4). Let l be -3*2\/3*g. Solve -3 = -4*f + 17, 4*t - d = -l*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t - 3 + 1 - 5*t - 6*t**2 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 + 29. What is n(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 1715*q - 17043. What is v(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282\/23 - -21104\/1725. Is w != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12666)\/8*(48\/(-18))\/2. Let v = -820 + g. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 5*x**2 + 0*x**2 + x - x - 2*x**2 + (1 - 1 - 3)*(0*x - x**2 + 0*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18430?\nAnswer: 2, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Suppose 0 = 3*c - 32 + 11. Let n(r) = c - r - 6 - 1. Calculate n(h(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.3. Let s = 0.05 - -1.95. Sort j, s, -3\/7.\nAnswer: -3\/7, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2424030 divided by -5.\nAnswer: -484806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 - 10*g + 139)*(-2 + 0 + 0)*(-2*g + 2*g + g - 2*g - 3*g + 3*g + (6*g - g - 4*g)*(-1 - 2 + 1) - 2*g + 4*g - 4*g + 2*g + 11 - 11).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -545106, -545113, -545120, -545127, -545134, -545141?\n\"Answer: -7*m - 545099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841687323?\nAnswer: 3, 17, 23, 717551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -28*n**2 - 7. Let d(u) be the first derivative of 2*u**3\/3 - 171. What is d(s(p))?\nAnswer: 1568*p**4 + 784*p**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 0*l**3 - 12*l + 0*l**2 - 7\/4*l**4 + 7. Find the first derivative of m(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 - 148. Is 6\/30 - (-32056)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -1.2, 2\/15, -5, 2\/11, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -574, -579, -596, -631, -690, -779, -904, -1071?\n\"Answer: -i**3 + 2*i - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -436 - -2585\/6. Calculate the common denominator of p and 21\/218.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**10\/105840 - u**9\/26460 + u**7\/4410 + u**6\/2520 - u**4\/12 + 3*u. Let r(m) be the third derivative of i(m). Factor r(t).\nAnswer: -2*t*(t - 1)*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 - 222. Solve 13*t - j*t - 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 17*y + 12*y**2 - 17*y - 5*y**2. Let b(h) = -2*h**2 + 84904 - 84904. Calculate m(b(k)).\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46760 - 46560. Calculate the remainder when 273 is divided by m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933084403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480832 and 177672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scd when three letters picked without replacement from gggcddgs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1246 by 7.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-29))\/y**(7\/8) assuming y is positive.\nAnswer: y**(-231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*2\/7. Let f = 6 + -10. Which is the third biggest value? (a) -0.3 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6 and -91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 179*c**2 - 181*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 324308489?\nAnswer: 1621542445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1937 and 923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/11 - 717*f**3\/11 - 3257*f**2\/11 - 3627*f\/11 - 99 = 0. What is f?\nAnswer: -3, -1, -1\/2, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439158968?\nAnswer: 2, 3, 13, 512521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 39. Let t = g - -5. Let s = 83 - 83. What is the nearest to t in -0.3, -4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 2030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1452 and 1469127?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55665324*0.4.\nAnswer: 22266129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-31)\/(-3) - 56\/42. Suppose 0 = -3*w + 2*v + 37, -j*v = w - 7*v - 15. What is the third derivative of -4*n**2 + 3*n**2 + 5*n**2 + w*n**3 wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2559 - -6705. Calculate the remainder when x is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + (-72)\/6 + 1 + 0. Find the third derivative of -4*z**l + 37*z**5 + 97411*z - 97411*z + 265*z**2 wrt z.\nAnswer: 2220*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11733261.\nAnswer: 3, 3911087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 25, -7, -2, -0.66, -5, 2\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6263609 and -0.4?\nAnswer: 2505443.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}