diff --git "a/data/dm_maths/full_data_2/11009_11255.jsonl" "b/data/dm_maths/full_data_2/11009_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11009_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 308 a factor of 84441604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*g + 52*g + 2. Let b = 3 + -4. Let o(s) = s - 2. Let v be o(7). Sort g, v, b.\nAnswer: b, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(1300))**2 - (sqrt(1300) + sqrt(1300) + sqrt(1300)*2*-4)**2) + 1 + -5*((-1 + sqrt(117) + -4)*4)**2.\nAnswer: -56850 + 2460*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(3) + (-2*sqrt(275) - sqrt(275)).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(85) + sqrt(85) - sqrt(85) - sqrt(85)))\/((sqrt(80)\/sqrt(2))\/sqrt(8) + sqrt(5) + sqrt(5)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -49*j - 245. Let w be o(-6). What is the highest common divisor of 1421 and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r**2 - 367. Let g(o) = -1101*o. What is h(g(t))?\nAnswer: -23031819*t**2 - 367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 6 - 3)*(0 + 1 - 2) + 0 + 2 + 0)*(19*r**2 + 2*r**4 - 460 + 460) to the form m*r**2 + o*r**3 + h*r + n*r**4 + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -8, -31, -88, -191, -352?\n\"Answer: -2*y**3 + y**2 + 10*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c8410 (base 14) to base 16.\nAnswer: -827abe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2574\/(-24))\/11*(-8)\/42.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 606\/101*(-2)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 146*q**2 + 4*q - 9. Let a(o) = -o + 2. Calculate 5*a(l) + y(l).\nAnswer: 146*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65181313?\nAnswer: 31, 2102623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6088450.665 + -0.016\nAnswer: 6088450.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/11 and -37\/116911?\nAnswer: 1286021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1595*j + 2906 = 327*j - 1638*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 q when three letters picked without replacement from {k: 3, z: 7, q: 4, p: 5}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -1\/6*l**3 - l + 185000*l**2 + 0. Let t be b(0). Round t to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 + u - 3. Suppose 2*x = -2*m - 14, -m - 3 = 5*x + 8. What is the units digit of p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 180351.\nAnswer: 1082106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Suppose 26 = 2*o + 24. Is o less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, e: 5}. Give prob of picking 2 e.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 9*r + 2898. Does 112 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10063100 to the nearest one hundred thousand.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + x - 8, 17 = -x + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**5*z)\/z)\/(z**7\/z))**(-25)\/((z*(z**(-2\/3)*z)\/z*z)**(-9\/5))**(5\/7) assuming z is positive.\nAnswer: z**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 2\/1 + 7. Suppose -3*g + a*c = -g - 34, 2*c - 145 = -5*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-20) + 6\/10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by -42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 293568*x**2 + 3815252*x + 33460824.\nAnswer: 4*(x - 73379)*(x - 19)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166284 and 1860?\nAnswer: 831420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2501 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-480))\/((-4)\/156). Is d greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -703, 5, -1 in increasing order.\nAnswer: -703, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133208412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5342955221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/18 and 101\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 507615439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.604987 millilitres?\nAnswer: 0.004604987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 13 (b) -1 (c) -3 (d) -2 (e) -1\/7 (f) -5527\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.246, 2\/9, 0.4 in decreasing order.\nAnswer: 0.4, 0.246, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 + -14 + 7)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*z**3 + 315 - 161 - 154.\nAnswer: -405*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -346, -691, -1036, -1381, -1726?\n\"Answer: -345*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472 is divided by 124?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, x: 1}. Give prob of picking 1 x and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2 - 111*n**3 + 5*n**4 + 109*n**3 + (2*n**2 + n**2 - n**2)*(-3*n**2 + 2*n**2 + 4*n**2).\nAnswer: 11*n**4 - 2*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1050 - -1497. Suppose 0 = -26*r + u + 1893. Suppose -g = -0*o - 3*o - 36, -2*g - o = -72. Calculate the greatest common factor of r and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -323, -657, -1115, -1697?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1199, -105 in decreasing order.\nAnswer: 1199, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 - 27\/(-3))\/((-5)\/6). Is (-3)\/t - (-33431)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-16)\/(-72))\/((-4)\/826*35\/(-15)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -22*x - 15 + 5 + 1 + 6. What is the tens digit of m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.63 - 0.13. Which is the nearest to -1? (a) -1\/6 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + (-1 - 2 + 2)*(-1 + 0 + 0) + 3 - 5 - 1)*(1 - 3 - 2*u + 3).\nAnswer: 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - -80. What are the prime factors of g?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*k + 20 = 9*k, -k = -c - 3. Let m(n) = 8*n**2 + 66*n + 18. What is m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d - 14*d + 2*d + (3 + 1 - 2)*(1 - 1 - d))*(3*d**3 + 0*d**3 - 2*d**3) to the form v*d**2 + s + f*d + a*d**4 + w*d**3 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:04 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -8*y + 25. What is the highest common divisor of 36 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -4070555?\nAnswer: -4070602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - 10603 - 102*k**3 + 10605.\nAnswer: -111*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1525247614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 3) to base 11\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**3 + 6*j**2 - 3*j + 81. Let g be l(11). Round g to the nearest 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:28 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 403996807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000519124 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.616 (b) -1 (c) -2\/9 (d) -2\/19 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53826.24 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:46 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50682c (base 14) to base 15.\nAnswer: -3871e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:55 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -1137, -1709?\nAnswer: -2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 32, 51, 70?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*w**3 + 290*w**2 + 19268?\nAnswer: 63*w**2 + 580*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 5*t**2 - 174 - 11*t - 22*t + 174.\nAnswer: -t**2 - 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**8*d))**(-8\/9)\/(d\/(d\/(d*((d*d**(-2\/25)\/d)\/d)\/d)))**0)**(-1) assuming d is positive.\nAnswer: d**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. What is the smallest common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2544\/(-2566) - -1*1. Let p = 93439\/25660 + j. Calculate the common denominator of -79\/46 and p.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8975663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 t when four letters picked without replacement from ttsttst?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 60*z - 419 = 22 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 103?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 + 11*i - 10. Calculate u(6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -725.5 rounded to the nearest 10?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 - 9)*(3*n**5 + 0*n**5 - 2*n**5 - 6*n**3).\nAnswer: -10*n**5 + 60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 39, 2\/9, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -255800 at least -255800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3243272 (base 8) to base 7.\nAnswer: 10252442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7091 and 576397.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 34*x**2 + 95 - 36 + 34*x**2 + 3*x**3 to g*x**3 + n + b*x + j*x**2 and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -3*p**4\/8 - 7*p**3\/2 - 3*p**2 + 18*p - 616. Factor o(j).\nAnswer: -3*(j - 1)*(j + 2)*(j + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10045 and 13\/60270.\nAnswer: 60270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -170*v + 173*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*y + 108. Let p(j) = 10*j - 81. Let i(h) = 21*h**2 - 1. Calculate the remainder when p(y) is divided by i(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42879 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*0*1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298\/129 - 154951\/903. Let h = -169 - l. Which is the closest to h? (a) 0.4 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -626137 (base 9) in base 5?\nAnswer: -43400110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 0*j**2 - 2\/7*j + 2\/7*j**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490 - -2690. Does 40 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.122 in 4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 0*i**4 - 3*i**4 + 2*i**4 - i**4 + 3*i**4 - i**4 + 2*i**4 - 2*i**4 + (3*i + 2*i - 3*i)*(0*i**3 - 3*i**3 + i**3).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20225467 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 59 = 2*m, 4*m + 2*q + q - 84 + 71 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750057 + 340?\nAnswer: -1749717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 - ((-72)\/(-9) - 9). Solve 6 = -2*p - l, u*p - 5 + 21 = -3*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(936))\/(-2*sqrt(162)) + (sqrt(468)*-6 - ((sqrt(91)\/(sqrt(7)*-1 - sqrt(7)) - sqrt(13)) + sqrt(13))))**2.\nAnswer: 567853\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (-4 + -1 + sqrt(45) - ((sqrt(45) + 3)*6 - sqrt(45))).\nAnswer: -12*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2799, 4, -4\/9 in descending order.\nAnswer: 2799, 4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 1, d: 1}. What is prob of sequence bii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -28. Let n = q + -43. Calculate the remainder when 41 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -23.3. Which is the nearest to 2? (a) 1 (b) k (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ae7 - -5?\nAnswer: aec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose j - 4 = -o, 8 = z*o - j + 3*j. Factor -1\/3*m + o - 1\/3*m**2.\nAnswer: -m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*0.2.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 44*c + 29*c - 2*c. Let k(v) = -2*v**2. Give k(p(y)).\nAnswer: -10082*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 614 - 612. Let t(v) = -9*v**2 + 6*v**w - 3*v**2 + 0*v**2. Let m(k) = 47*k**2. Give t(m(l)).\nAnswer: -13254*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 525, -5.\nAnswer: -5, -1, 4, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 40. Let a be ((-5)\/(-24))\/(r\/(-20)). Does a = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 - (8 - (9 + -11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 845*g = 840*g - 36, 0 = 4*l + 5*g + 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose -2*u + 84 = v, b*v - 316 = 3*u - u. Suppose -k = -3*k + v. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -1\/11 (c) 0 (d) 0.3 (e) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/1380)\/(3\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - 8*j**3 + 17*j**3 - 4*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46640 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214.42 and 4.46.\nAnswer: 956.3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -27, 20\/9 in increasing order.\nAnswer: -27, 1\/3, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 87206*o**3 - 1 - 87230*o**3 + 8 - o**2 in the form u*o**3 + c*o**2 + z + v*o and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:06 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db + 1d?\nAnswer: -be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -1 + 6 + -5 - -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -26*v + 560. Give a(44).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 0 + 1 + 4 - 2 + 3*y**2 - y**3 + 4*y. Let i be r(4). What is the first derivative of 6*c**3 - 1 + 1 + 2 - i*c**3 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45846 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 11101?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = -3*t + 1, -4*t = -2*g - 10. Suppose 2*f = t + 6. Let i = 186 + -172. Sort f, i, 2 in ascending order.\nAnswer: 2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.065 in 2\/3, 0.55, 8, -3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1075 + -4.324.\nAnswer: 1070.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10 - 90*w - 8 + 87*w. Let o be i(-9). Solve o = -4*j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - g**3 + (162*g - 32*g + 11*g)*(-g**2 - 3*g**2 + 3*g + g**2).\nAnswer: -424*g**3 + 423*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) + -2 - (24 - 15483\/585). Let g = 3\/52 - -5\/26. Which is the biggest value? (a) -1 (b) 1 (c) h (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6305.\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 15*c**2 - 4*c**2 - 13*c**2 - 48 + (-3*c + c + 3*c)*(-4*c - 3*c + 6*c).\nAnswer: -3*c**2 - 3*c - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*m = 10564006, 5*n + m = 14615693 - 1410695. Round n to the nearest ten thousand.\nAnswer: 2640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-75)\/45)\/((-10)\/18). Let r(t) be the first derivative of -6 + 7\/4*t**4 - 1\/2*t**2 + 0*t**o + 0*t. Find the second derivative of r(v) wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223.345919 rounded to the nearest 10?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 5, s: 4}. What is prob of picking 3 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5133?\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 25346?\nAnswer: 228114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(3*l**3 - 4*l**3 + 0*l**3) + 113 - 113 - 3*l**4.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2 - 1 + 838*f - 844*f. Let z be x(-1). Let n(g) = 3*g + 4*g - 12*g + z*g. Let l(w) = 2*w. Give n(l(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67132.4l in millilitres?\nAnswer: 67132400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 484067.\nAnswer: -4\/484067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) + sqrt(36)\/sqrt(6))*-3 + sqrt(48)\/(sqrt(8) - (sqrt(648) + sqrt(8))))\/(-2*(-4*sqrt(128)*1 + sqrt(128))))**2.\nAnswer: 3025\/62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*u - 71 = -79*u + 454. Let -2\/3*d**2 - 5\/3*d + 2 + 1\/3*d**u = 0. What is d?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21468 at least -21468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-24)\/9)\/(-8))\/(55\/6). What is the third biggest value in d, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*s + 146*s = 85200. What is s rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*i + 2*z + 35, 0 = i + z - 11. Suppose y + i = -27. Calculate the lowest common multiple of 18 and (-786)\/y - 18\/(-99).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p + 125 = 52*p. Suppose -15*v + p*v = -1040. Let f = -75 - 30. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*m = 9. Let y be 9 + -4 + m + (-61700020)\/5. Round y to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 21589 = 61571. What are the prime factors of y?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {z: 2, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -5, 32\/6667?\nAnswer: 32\/6667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*s - 4*y = -425*s + 184*s - 56, -s = -4*y - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*w**3 + 36*w**3 + 42*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837 = 2*c - 149. Factor -64*w + 370*w**2 + 245*w**2 - 87*w**2 + 560*w**3 - 1957*w**4 - c*w**4 - 32.\nAnswer: -2*(5*w - 2)**2*(7*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(6080\/665)*(40\/7 - -4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103162548 is divided by 2579063?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741558650 to the nearest integer?\nAnswer: 27232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**4 + 35*h**3 - 27*h**2 + 4727*h wrt h.\nAnswer: -24*h**2 + 210*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 greater than or equal to 1151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**7\/70 - 37*c**5\/60 + 53*c**3\/2 - 1047*c**2. Find the first derivative of x(z) wrt z.\nAnswer: -12*z**3 - 74*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -977628.67 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 8*h**2 - h - 2. Let a(b) = -16*b**3 + 25*b**2 - 2*b - 7. Let r(y) = 2*a(y) - 7*f(y). Factor r(g).\nAnswer: 3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(((j\/j**(1\/2))\/j)\/j)))\/j*j)**(-22)*j**4*j**10)**(-1\/44) assuming j is positive.\nAnswer: j**(-25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.08\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -543332\/3 or -181110?\nAnswer: -543332\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*m**2*o + 2*m**2 + 144960*m - 270037*o - 46 wrt m?\nAnswer: -72*m*o + 4*m + 144960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r - 2*r**2 + 9 - 21 + 7. Let a be g(3). Let x(u) = -u**3 + 4*u**2 + 4*u - 5. Give x(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287657437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -61?\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 72013898?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -163, 36, 573, 1616, 3333?\n\"Answer: 28*f**3 + f**2 - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5 + (-100)\/15)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23407 * -0.1\nAnswer: -2340.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2322, -2855, -3730, -4935, -6458, -8287?\nAnswer: -10410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111.85 + 107.85. Which is the smallest value? (a) 0.7 (b) y (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 20*c + 2479 = 62*c for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 290805 and 290806 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 3, 12.\nAnswer: -3, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75622.05 nanometers to kilometers.\nAnswer: 0.00000007562205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:00 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.095893 to four decimal places.\nAnswer: -0.0959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782451.\nAnswer: 3, 86939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/13, 0.06, 3, 13\/5, -0.3, 6 in descending order.\nAnswer: 6, 3, 13\/5, 5\/13, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 1 + 2)*-2. Suppose -4*a + 20 = h*u, 3*a = 3*u - u + 15. Solve 0 = -4*r + 6*y - 2*y - 4, 5*y + 5 = u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-1)\/1)\/(-1))\/10. Suppose -106*l + 4*s = -105*l - 23, 0 = -2*l - 2*s - 4. Put d, 1\/2, -1, l in decreasing order.\nAnswer: l, 1\/2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1.3. Which is the closest to 0? (a) 2 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/5 and -15\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7300576 times -3?\nAnswer: -21901728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11949567439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37982629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -129, -279, -479, -723, -1005, -1319?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 - 35*j**2 + 75*j - 45 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(2\/(-120)*50)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302.2158 + -3.3458. Let n = o - 295. Let i = n - 4. Round i to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.6 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -106212326 divided by 22\nAnswer: -4827833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8175b (base 15) in base 13?\nAnswer: 114833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + -167. Let a = h + 32. Suppose a*k - 924 = k. What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*((-24)\/(-20))\/(-3). What is the second derivative of 0*g**p - g**4 - 2*g**4 - 6*g wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 13*b - 28. Let d be v(-10). Solve -4*k - d*c + 3 = 13, -2*k - 4*c = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f**7*f*f*f)))\/((f*(f*f*f**(2\/41))\/f)\/f*f))\/(f**(2\/5)*f*f*f**(-3\/4)) assuming f is positive.\nAnswer: f**(4347\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67, 249, 553, 979, 1527?\n\"Answer: 61*z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 2*s - 3. Let x be k(-4). Let c(w) = w**2 + 11*w + 8. Let a be c(x). Let f(l) = l**3 - 9*l**2 + 10*l - 12. Is 2 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (2 - (12 - (-3 + -3))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1675967 or 1675969?\nAnswer: 1675969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*n + 1381 + 1643 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/499?\nAnswer: -1\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7\/20024 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*j**2 + 2*j + 203*j**2 - j.\nAnswer: 109*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28889203 times 1?\nAnswer: -28889203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (23\/((-276)\/(-40)))\/(6\/3123)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15466963?\nAnswer: 41, 311, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*k**2*x - 54*b**2*k**2 + 2*b**2*k + 81*b*k**2*x - 2*b*x + k**2 wrt b.\nAnswer: -4*k**2*x - 108*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**3 + 3\/2*f**2 + 0 + 4*f - 1\/24*f**4. Let y(r) be the first derivative of v(r). Let b(g) = 3*g. Determine y(b(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (18 + (0 - 2) - (48 - 29 - 10))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**5 + 33*f**4 + 75*f**3 + 44*f**2. Let y(q) = -5*q**5 - 33*q**4 - 75*q**3 - 43*q**2. Let k(m) = -4*r(m) - 5*y(m). Suppose k(p) = 0. Calculate p.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 0*h**3 + 2 + 3*h**3 + (1 + h**2 - 1)*(1 - 1 + 12*h) to f*h**3 + x + m*h**2 + j*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 278831\/3 != -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -268 + 268. Let y(j) = j**3 - 3*j**2 - 2*j + 72. Is 6 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - c + 20, 2*s - 777 = -2*c - 773 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, -5\/356 in increasing order.\nAnswer: -0.3, -5\/356, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*a - 190 + 750 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7083*u**3 - u**2 - 2*u - 2. Let y be v(-1). Let h = y - -63832\/9. Let k = 5\/13 - -154\/39. What is the common denominator of k and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 5*n**6\/36 - 7*n**5\/60 - 3*n**4\/8 - n**3\/9 + 329*n**2. Solve r(h) = 0.\nAnswer: -1\/2, -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n**2. Let u(o) = -115*o**2 + 640*o. Determine u(q(b)).\nAnswer: -19435*b**4 - 8320*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -77. Suppose m - s = 3*m. Let u = -2 - -5. Is u >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-12 - -37) - 28 - (-8 - (0 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010493 rounded to six decimal places?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 6*m**2 - 5*m. Let t(i) = 3*i - 2. Suppose 2 = -4*y + 2*y. Let b be t(y). Determine h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*140\/5*-10*6\/(-240).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*z = 28, -5*s + 7 = 4*z - 8. Let w(u) = -7*u - 6. Suppose -11 = -4*o - 3. Let j(d) = 3 - d - o - d + 3*d. Give s*w(i) - 6*j(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f - 36. Suppose 2*c + u - 6 = -c, -2*u - f = -2*c. Is 8 + (-2)\/(-3)*c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 43*i - 2. Let y = -730 - -730. Let d be k(y). Let n = 3 + -2.89. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**4*y - 4*d**4 + 117*d**3*y + 6*d**3 - 144*d**2*y - 5*d - 39*y wrt d?\nAnswer: 144*d*y - 96*d + 702*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17453 + 17876. Solve -426*j + b*j = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 7*t**2 - 7*t + 10. Let f be b(-8). Suppose 5*i - 19 = 2*i - 2*q, 2*q = -f*i + 14. What is the greatest common factor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, 0, 266 in decreasing order.\nAnswer: 266, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2*v**3\/3 + 40*v**2 - 462*v + 2280. Solve o(w) = 0 for w.\nAnswer: 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*k**5 - 8*k**2 - 2*k + 2272.\nAnswer: 960*k**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 4 + w - 4 + (45*w - 23*w - 20*w + 94)*(-10 + 10 + 7*w) as v + n*w**2 + i*w and give i.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 13*f**2 + 7*f + 2. Let o(k) = 2*k**3 + 25*k**2 + 15*k + 4. Suppose -12*d - 15 = -17*d. Let g(p) = d*o(p) - 5*l(p). Determine g(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sudu when four letters picked without replacement from wvdvdudusdudtut.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7604132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148.543391766 - -0.2832.\nAnswer: 148.826591766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g - 78. Let r be t(7). Suppose 12 = -4*j + 2*j. What is the lowest common multiple of (24\/(-10))\/(j\/r) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(-3*sqrt(512)))\/(sqrt(40)\/(sqrt(484)*-1)).\nAnswer: 11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59492 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 830621 divided by 315.\nAnswer: 830621\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 47, 57, 63, 65, 63, 57?\n\"Answer: -2*f**2 + 20*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-912 + 643 - 812 + 242 - 428 - 884)*(3*j**5 - 19*j**5 + 10*j**5).\nAnswer: 12906*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(2\/47))**36*(i**(-4)\/(i**(2\/9)*i*i))\/(i\/i**(-8)*i\/((i**(-6)*i)\/i)) assuming i is positive.\nAnswer: i**(-8752\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22d47 + 27?\nAnswer: -22d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o + 1. List the prime factors of i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1732 and 8008?\nAnswer: 3467464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 9. What is b(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1195 + -1195.07. What is the nearest to -9 in 1, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108149226 divided by 54074613\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:09 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, 4 in increasing order.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23608 - -23608. Let h(m) be the second derivative of s*m**2 + 0 + 2\/3*m**3 + 4*m + 0*m**5 + 1\/2*m**4 - 1\/15*m**6. What is u in h(u) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916008.\nAnswer: 2, 37, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20213\/6 + -3367. Which is the biggest value? (a) t (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12693677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-2)\/(-44))\/((-665)\/3990)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2169 is divided by 247.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 2*x + 0*x)*(4 + 0 - 10 + 0 - 1 - 1 + 0 + 2 + 0 - 2 + 0 + 0 + (0 - 1 - 1)*(-1 + 0 - 1)) + x + 0 + 0 in the form q*x + k and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 35*k = -2*g + 18, 0 = 3*g - k + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 - 1\/8*g**6 + 0*g - 101\/24*g**4 + 0 - 1\/30*g**5 - 60*g**2. What is the second derivative of s(v) wrt v?\nAnswer: -90*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 22 = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 + 27*j**2 - 78*j**2 + 26*j**2 + 26*j**2 + 4*j**3.\nAnswer: -6*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + 1)*(14 - 11). Let d be (9\/u)\/(12\/(-8)). Sort d, -3, -0.1 in increasing order.\nAnswer: -3, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3\/35, -160.36, 1, 5 in decreasing order.\nAnswer: 5, 1, 3\/35, -2, -4, -160.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, e: 3, v: 3, f: 2}. What is prob of picking 2 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*a + 2, 2*q - 3*a + 9 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 358589 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16762 (base 13) to base 9\nAnswer: 64884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3370941 divided by -3\nAnswer: 1123647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4, g - 2*h + 24 = 32 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2492\/126 + -20 + 784\/693\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 + 9*c + 8. Suppose -3*a - 8 = -4*a. Let t be y(a). Solve -4*g + t + 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(70)*2 + sqrt(70))*-6 + sqrt(70))*6)\/(-4*1*sqrt(1440) - sqrt(1440) - (sqrt(1440)*-2*-4 + sqrt(1440))).\nAnswer: -17*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 3*d + 0*d + (-d + 4*d - 2*d + 2 - 2 + d - 5*d + d + 2*d + (0*d + 0*d - d)*(-2 + 4 - 1) - 2 + 2 + 2*d + 2*d + 9*d - 7*d)*(21 + 5 - 7).\nAnswer: 92*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {g: 3, d: 4, a: 1, h: 2, n: 1, z: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5906469986 to the nearest integer?\nAnswer: 76854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 1)*(-3 + 2 - 2)*(-210*w + 124*w - 548*w)*(0 - 3 + 1) to the form m + s*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1 + 1. Let n = -33 - -47. Let j = n - x. What is the remainder when 31 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 197139583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1610 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2416 divided by -21.\nAnswer: -2416\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -18 + (23 - 9 - 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337535*b**2 + 217096.\nAnswer: -675070*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1920390 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2))**(2\/3)*n**(-1\/2)*(n\/n**6*n)\/n)**28)**(-1\/25) assuming n is positive.\nAnswer: n**(574\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 529273 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**2 + 3\/4*t**4 - 2*t**3 - 6 + 6*t. Let g(i) = -3*i**3 + 5*i**2 - 5*i - 5. Determine 6*g(x) + 5*s(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/4 + 29*z - 2. Let y(o) = -31*o. Determine r(y(i)).\nAnswer: -2883*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37951859*k**5 + 31196841*k?\nAnswer: 759037180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 3*q**2 - 14*q - 67. Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -4, 27, 7, 1\/11, 0.4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 3*s**5\/5 + s**3\/3 + 56*s**2 - 19. What is the second derivative of t(f) wrt f?\nAnswer: 36*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 10*d - 6. Let y be c(4). Let h = 193 - 188. Suppose 0*o = h*o + k - 632, 0 = -2*o - 3*k + 258. What is the greatest common factor of o and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49175 is divided by 220?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11370522)\/244*-1*2. Round i to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**6 - i**5 + 297*i**2?\nAnswer: 840*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37328, -37164, -36896, -36524, -36048, -35468?\nAnswer: -34784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3547390 divided by 77\nAnswer: -46070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 + 0*a**2)*(-1366*a + 456*a + 455*a - 25 + 456*a).\nAnswer: a**3 - 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*m - 92, 50 = 36*s - 34*s + 5*m. Let g(i) = i**2 - 19*i - 5. Determine g(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 6 - -7 - -2) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.079 + 78.921. Let p = t + -79.18. What is the nearest to 0 in -2\/9, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c4601 (base 13) in base 7?\nAnswer: 2665541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -b, f - 3*b + 5 + 0 = 0. Let d(x) = -x + 7. Suppose 3*v - 28 = -v. Let s be d(v). Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922\/3943 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1458041\/45 + -32371. Is 29 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302942 equal to 302946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 506968.2 rounded to the nearest 100?\nAnswer: 507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**3))\/y)\/y**(1\/19))**(-2\/5)\/((y*y**(-2)*y)**22)**(5\/7) assuming y is positive.\nAnswer: y**(154\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - b - 1. Determine g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, m: 9, u: 1, x: 2}. What is prob of picking 3 p and 1 m?\nAnswer: 168\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*t = 5 + 19, -3*l + 34 = -4*t. Factor -4\/7*c - 2\/7*c**3 + c**l - 1\/7*c**4 + 0.\nAnswer: -c*(c - 1)**2*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41237.1 and 84.9.\nAnswer: -3501029.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98232.\nAnswer: 2, 3, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/13 + -149\/78. Let i = 7 - 11. Which is the closest to t? (a) i (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332084?\nAnswer: 2, 3, 13, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2636766856 - 0.31.\nAnswer: -2636766856.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.704854m?\nAnswer: 1704854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*w = 15, 2*w - 3*w + 19 = 5*x. Let t = -5 + x. Is t > -1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10052 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 306. Let a = y + 2138\/7. Let k = -54 - -55. Sort k, 2\/7, a.\nAnswer: a, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 77985\/4, 0.3, -0.5 in ascending order.\nAnswer: -0.5, 0.2, 0.3, 77985\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -56. Let x = 22 - u. What is the greatest common divisor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116365277 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7707 - -1243?\nAnswer: 11152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + -0.23. Which is the third biggest value? (a) n (b) 0 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41\/(-5043)*2\/59*-1. Let y = b + 21757\/50799. Factor -y*x**2 - 6\/7*x - 3\/7.\nAnswer: -3*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 2*y, -2*y + 20 = 2*y. Let s(p) = -p**3 + 5*p**2 - 2*p - 5. Let h be s(4). Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/110)\/(-44 + 13688\/319).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.9 - -9.9. What is the nearest to z in -4\/9, -0.07, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1715980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 1)\/(-1) + -12. Let d(i) = -12*i - i**3 + 0 - 7 - 6 - 10*i**2. What is the tens digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 + 5*y - 5. Let a be f(2). Let c be (-1 - a)*21\/42. Let i be c\/1*(-3 + 2). Is 1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * 2.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 1, m: 1}. Give prob of sequence onm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 40*z + 43*z - 25 = 0, -15 = -3*l + 2*z. Suppose -l*w + 3*j = -4370, 5*w - 2621 = 2*w + 2*j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -1 + 7 + 0. What is the third derivative of w**3 + 9*w**2 - 7*w**3 - 4*w**h wrt w?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 29300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 6*c**5 + 33*c**4 + 24*c**3 - 57*c**2 - 30*c + 24 = 0.\nAnswer: -4, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 162 = -16. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406122407231+-784\nAnswer: -406122408015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.8 >= -0.059897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-50)\/20*(-300)\/375\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8368 is divided by 812.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*0\/1)\/(-6 - -9). Suppose -3*j - 327 = -q*y - 2*y, 99 = -j + 4*y. Let f = -68 - j. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.579531 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30*2)\/((-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.02511279 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -43*k + 3842. Let t(v) = 29*v - 3842. What is 2*b(u) + 3*t(u)?\nAnswer: u - 3842","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1053 - -1070. Let q(i) = -23*i**2 - 3*i - 21. Let g(k) = 8*k**2 + k + 7. What is z*g(n) + 6*q(n)?\nAnswer: -2*n**2 - n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 105, -0.2, 4, 1\/4, -0.93?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 705292125 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -78. Let x be 4\/q - (-4)\/35. Put -4\/7, x, -5, 4\/3 in ascending order.\nAnswer: -5, -4\/7, x, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**7\/490 + d**6\/70 - d**5\/28 + d**4\/28 + 21*d**2 - d. Let z(u) be the first derivative of g(u). Factor z(h).\nAnswer: -3*h*(h - 2)*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278202361 a multiple of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*q + 4*q + 10, -5*q - 2*d + 10 = 0. Let p be q\/(-3)*3 - -2. Suppose 12 = -p*u + 4*u. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3 + (29 - 17). What is the greatest common factor of 432 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + n + 100*d - 21 = 99*d, -d + 6 = -2*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.088, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 22. Let z(q) = -10*q**2. Give z(j(y)).\nAnswer: -160*y**2 + 1760*y - 4840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.07 + -12. Let v = l - 0.05. What is the biggest value in 0, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2365\/78 + 181\/6. Sort 3, n, -7 in decreasing order.\nAnswer: 3, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 0.382 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*f = -86 - 7, 0 = 5*c + 2*f - 92. Let h be 3\/(2 - (-6)\/(-4)). Solve 2*z + h = -n, 3*n - 14 = 4*z + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 66577692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 63 = m + 572, 2*b - 259 = -m. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 12. Let i be k(9). Suppose c = 5*c + l - 127516, -95648 = -i*c + 2*l. Let m = -68120 - c. What is m rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1858 divided by -2228.\nAnswer: -929\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 3*l**4 - 5*l**4 + 2*l**3 + 5*l**4 - 3*l in the form n*l**2 + g + t*l**4 + s*l**3 + u*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, -11\/3, 1, -3\/2?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074 times -0.07?\nAnswer: 0.00518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 43303*b\/5 + 1254946\/5.\nAnswer: (b - 43274)*(b - 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -83\/10?\nAnswer: -83\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 285 + 454 = -143 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.5 + -27. Let r = h + 14. What is the third biggest value in r, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 17. Give y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5*((sqrt(7) - sqrt(63)) + sqrt(7)))*2*-1)**2.\nAnswer: -120*sqrt(7) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11313139 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 -0.04, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00165934 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3994 in 1, 2, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/7 - 19*x**3\/7 + 165*x**2\/7 + 4275*x\/7 + 13500\/7 = 0.\nAnswer: -15, -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((-1026)\/6840)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 14 + (-5 - -2) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 115*i**2 - 114*i + 2. Let g be f(114). What is the biggest value in -3\/8, 1324, g, 0, 0.4?\nAnswer: 1324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 263, 609, 1093, 1715?\n\"Answer: 69*j**2 + j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -11*b - 33, -5*b + 5 = 3*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 + 14*r - 2. Determine n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35a - -1?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 498228*u**5 - 18*u**2 + 30708350*u wrt u?\nAnswer: 9964560*u**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1049985)\/23333 + ((-1)\/2*4 - 1*5).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*j + 152*j - 9595 = 267*j + 10059 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o - 2. Is 17 a factor of 268\/16 - o\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/(-14)*(0 - 7). Find the common denominator of -113\/24 and (-982)\/160 - (-8)\/m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 2*h - 8*h + 0*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b - b**3 + 9 - 3*b + 7*b**2 + 5*b. Let u be z(7). Sort u, -3, 1 in increasing order.\nAnswer: u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47561, -47559, -47557, -47555, -47553?\n\"Answer: 2*d - 47563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 3792*s + 11367.\nAnswer: (s - 3789)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 - 13. Let r = -11 - m. Put 1, r, -5 in ascending order.\nAnswer: -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3\/25, 3, -4, -15 in descending order.\nAnswer: 6, 3, -3\/25, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and 37\/3167086?\nAnswer: 6334172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19.8, 2\/3 in increasing order.\nAnswer: 2\/3, 5, 19.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500\/765 + (-2 + -1)\/((-78)\/(-52))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16152 and 26920.\nAnswer: 80760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/20 - 13*j**3\/5 - 156*j**2\/5 - 92*j + 12656. Factor w(b).\nAnswer: (b - 46)*(b + 2)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/13733 and 19\/3987?\nAnswer: 123597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by -44.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*b + 154. Let m be b\/((-1)\/(-5) + 36\/20). Is 2383\/9 + m\/((-198)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 8. Let o be 26\/(-8) + (-1)\/q. Let r(v) = v + 4. Determine r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03, 0.16, -6\/29, -5?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -55*k**2 - 11827*k - 431. Determine d(-215).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 2*t - 5. Let m be n(-4). Suppose -m*y = 2*v + 2*y + 12, 0 = -4*y - 8. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and (4 - 13) + 194 + -42.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21660 and 553128?\nAnswer: 52547160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365785 is divided by 322.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.325 + 9.325. Which is the second smallest value? (a) s (b) -1.49 (c) 0.1 (d) -2\/13 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*p**2 + 3*k**2*p*u + 77*k**2 + 966*k*p**2*u - 3*k*p**2 - 29*k wrt u.\nAnswer: 3*k**2*p + 966*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 4*j - 1470. Calculate the remainder when j is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:12 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 11753033 and -55115.\nAnswer: 11697918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.374 + 0.303. Let b = h + 0.0709889. Round b to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b408 (base 13) to base 8.\nAnswer: 60423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 155 + 74 = t - 53, 28 = -2*w - 4*t for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m**2 + 4*m**2 + 4*m**2 - m + (2*m**2 - 5*m**2 - 2*m**2)*(1 + 1 + 0)*(-3 - 2 + 2) to the form d*m**2 + t + o*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/23 + 72778*z\/23 - 72774\/23.\nAnswer: -2*(z - 1)*(2*z - 36387)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -18, 4, -4, -6, -24 in ascending order.\nAnswer: -24, -18, -6, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 10*b + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12 and (-164)\/80 + (-4)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*(-14 - -1). Let j(x) = -x**3 + x**2 + 22. Let u be j(0). Let c = p + u. Calculate the remainder when 16 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9482566 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20238243 to the power of 1\/2, to the nearest integer?\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:36 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 22*d**2 - 26*d - 124. What is l(-12)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**2 + 7. Let p(i) = 4*i**2 + 3. Let j(s) = 6*h(s) - 14*p(s). Let w(o) = 10760*o - 10760*o + 9*o**2. What is w(j(a))?\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 394*z**2 + 96*z + 712. Is c(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 + 9 = -2*h, -4*c + 8 = 0. Let a be (-5 + (-749)\/(-147))\/(3\/h). What is the nearest to -0.1 in 4, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, 0.4326, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/8*6*-4. Let n = s - -7. Suppose 44 = -0*c + n*c. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-180)*5)\/((-276)\/(-32)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 24*n - 19. Let t(x) = -12*x - 9. Let c(r) = -2*p(r) + 5*t(r). What is the remainder when c(10) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 367, 871, 1577, 2485?\nAnswer: 3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2*54\/15. Let q(h) = -3*h + 13. Let t be q(m). Let x = 14 + t. Put x, -3\/5, -4 in ascending order.\nAnswer: -4, -3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:52 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1308847 (b) 0.09 (c) 3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*a - 51 = -0*p, 2*a - 22 = -p. What is the highest common factor of 132 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*d + 126. Let s = d - 17. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 82847, 165658, 248417, 331100, 413683, 496142, 578453?\n\"Answer: -4*l**3 - 2*l**2 + 82845*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 2 m when four letters picked without replacement from {z: 1, m: 2, b: 2, s: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c - 78 = 0. Let b = -17 - c. What is the remainder when 33 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1052 + 62)\/(-66) + 3130\/(-210)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:34 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.09 + -3.239. Let s = 1.031 - u. What is s rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*h, -4*v + 3*h = -h - 28. Suppose -6 = -v*j - j. Let z(k) = 5*k - 3. Let q be z(j). What is the greatest common divisor of 63 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 31588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1722\/164*(-4)\/6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 880061 (base 10) to base 4\nAnswer: 3112312331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -55 (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 278, 569, 874, 1199, 1550, 1933, 2354?\n\"Answer: i**3 + i**2 + 281*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 404*j**2 + 820*j - 412 = 0. Calculate j.\nAnswer: -103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*d = -310, -2*m + d + 295 = 3*m. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080215651?\nAnswer: 131, 8245921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 484.4 - 484.8. Which is the closest to 2\/3? (a) -1 (b) n (c) -0.288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1 = 4*q, -q - 102 + 92 = -4*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -17?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 79*y + 817. What is q(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 8. Let p be i(-8). Suppose 5*o + 1110 = 2*j, -4*o - 549 = -p*j - j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n + 543 - 254 + 347 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4923441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 34*w**2. Let p = -310 + 312. Let m(y) = 3*y**2 + y**2 + y**p - 3*y**2. Determine h(m(j)).\nAnswer: 136*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95161 (base 14) to base 4.\nAnswer: -1113311001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (7 - 8 - 6) - (-32 + -14).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/189 + 313\/189. Let c = 5 + -4. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 + 1. Let y(t) = 5*t**3 + 10*t**2 - 4. Let r(b) = 6*w(b) + y(b). Calculate r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(-4)\/(-16)*40. Calculate the lowest common multiple of ((-1414)\/56 - w\/1)*-8 and 72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621070576?\nAnswer: 2, 7, 5545273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*k - 3*k - 4*z, -2*k = 3*z - 82. Let p be (42\/k)\/((-2)\/10). Let c be -2*9\/p*1. Solve -3*j = -c - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7414442 or -7414436?\nAnswer: -7414442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 911.83334 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 578 + 388 = 0. Let l be (1 - -1)\/(46\/x). Solve 11*y = l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + 1. What is the least common multiple of 4 and a?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 18529.8 nanometers?\nAnswer: 0.0000000185298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68099725*b**3 + 50861237*b?\nAnswer: -408598350*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 6841011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 8*f + 9. What is the units digit of q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6*o = -714. Let n be 2\/4 - o\/34. Solve -3*p - 13 = -4*k, -4*k - 13 = n*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(12*r - 10 + 10)*(-112 - 73 + 101) + 0 - 2*r + 0 to a*r + g and give a.\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39266807579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -42*y + 1969. What is s(47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12548490 and 3144.\nAnswer: 50193960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -311.897*82\nAnswer: -25575.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 7*g**2 - 10*g**2 - 7*g**2)*(-2*g + 0*g - 4*g)*(-2*g + g + 5*g) to the form n*g + h + v*g**4 + s*g**3 + b*g**2 and give b.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let p(o) = -99*o**2 - 1. Calculate p(x(w)).\nAnswer: -99*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -939253 (base 12) in base 4?\nAnswer: -20311310133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 5. Let x(l) = -l + 1. Let s(r) = -2*r - 2*r + 5*r + 10. Let v be s(-14). Determine v*x(g) - y(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**6 - 148*n**3 + n**2 wrt n.\nAnswer: -840*n**3 - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -8, r + 5*j + 1284 = 1278 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 33 - 1 = 0. What is the remainder when 11 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 7. Let b be d(-5). Let v(p) = p + 26. Let o(k) = -4*k + 12. Let t be o(8). Let u be v(t). What is the highest common divisor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:07 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**4 - 2*d**3 + d + 1. Let f(h) = 6*h**4 - 16*h**3 + 8*h + 30. Let w be (5\/(-3))\/(75\/(-135)). Let l(x) = w*f(x) - 24*z(x). Differentiate l(v) wrt v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**2*j*l**2 + 9*h**2*l**2 - h**2 - 8*h*j*l**2 + 12*h*l**2 - 4*j wrt j.\nAnswer: -3*h**2*l**2 - 8*h*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + -1 + sqrt(242) + sqrt(242) + 1 + sqrt(242) + 2)**2 + -3.\nAnswer: 132*sqrt(2) + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = k + 6, 5*k = 4*t - 4. Suppose -o - o = k. Solve o = -j - 2*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**2 + p + 8. Let i(h) be the second derivative of 3*h**4\/4 - 9*h**2\/2 + 32*h - 46. Calculate -7*f(l) - 6*i(l).\nAnswer: 2*l**2 - 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f = -49*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1088) - (2 + sqrt(1088)*-2)) + -4*(1 + sqrt(1088)) + 1)**2.\nAnswer: 160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*h = 201 - 188, -3*j - 32 = -26*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(208) + sqrt(208)*5))\/(sqrt(32)\/(sqrt(88)\/sqrt(11))))**2*1.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 746226 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 3. Let m = 63 + -35. Suppose -5*s + m = 18. Solve -5 - i = -s*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seaeeeealaeevlveeae. Give prob of picking 1 e, 1 a, and 2 v.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211109 to the power of 1\/2, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, 2\/85, 1\/3, 2, 0.1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 20. Suppose -d*z - 57 = 63. Let c = z + 32. What is the highest common factor of c and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 5*b**2 + 16*b - 107. What are the prime factors of r(14)?\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*r + 4934 - 860 = -3301 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 724532381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 72 = -9*z - 3, -h = z - 3. Let n = -1\/22 - 5\/11. Suppose 0 = 4*r - 4 - 0. What is the closest to n in -2\/19, h, r?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(2 + -1) - -2. Let j be 1 + -3 - v - 3. Suppose d + 2*d = 63. What is the greatest common divisor of d and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 5731*x**6\/120 - 51*x**5\/5 - x**3\/2 - 2787*x**2. Find the third derivative of g(l) wrt l.\nAnswer: 34386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -2253\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1499 - 407 = -2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5468 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/3 - (21 + -22))\/((-16)\/(-144))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*x - 82774 = 0, x = 3*h - 28075 - 21595. Round h to the nearest 100.\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 8 = 0, 2*s = -26*g + 33*g + 4*s - 4 + 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttq when three letters picked without replacement from stqtdq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 20652409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13331331411 (base 5) to base 2\nAnswer: -1000001000100101000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -3*a + 60. Let k(b) = -b**3 - 10*b**2 - 3*b - 6. What is the smallest common multiple of k(a) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -22. Let f = s + -24. Is -0.06 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1162 = j + 145, -4*j + 4079 = -5*d. List the prime factors of j.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10078379948\/234 - (-1 - (-49)\/63). Round y to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 370.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 497414000 rounded to the nearest 1000000?\nAnswer: 497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20624230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r*r*r**(-2)*r*r*r*r**(1\/3)*r**7)**(-10\/13) assuming r is positive.\nAnswer: r**(-250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -519152, -1038308, -1557464, -2076620, -2595776, -3114932?\nAnswer: -3634088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-336)\/10) + (-504)\/(-10).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -706029 (base 11) to base 12\nAnswer: -469066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40d + -20?\nAnswer: -42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320\/2907 - 1\/969. Put k, 4\/83, 2 in increasing order.\nAnswer: k, 4\/83, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1717281 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s + 4*c, 4*c - 2*c - 2 = 0. Suppose 10*y - 8*y - 8 = s. Suppose -5*f = -y*f - 54. What is the highest common factor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 28 (b) 1\/26 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from eeevevevee?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.3 (c) -0.3777 (d) -1\/23 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 81 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 31*g**3 - 8*g**3 - 6*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3101*d - 6199*d + 29 = -3099*d, -d - 33 = -6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + ((sqrt(243) + -1)**2 - sqrt(3)) + sqrt(3))*-2.\nAnswer: -488 + 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + z - 1. Let c = 7 + -13. Let v(j) = 4*j**2 - 6*j - 4. Let u(s) = c*f(s) - v(s). Find the first derivative of u(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 77*b - 341. Calculate v(-34).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100111110110110 (base 2) to base 6\nAnswer: 1050102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 146*p**3 + p**2 - 17*p + 25. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 484653 and 484654 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -336*z**3 - 128*z**2 - 64*z + 64. Let f(h) = 26*h**3 + 10*h**2 + 5*h - 5. What is 64*f(n) + 5*l(n)?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214214895*f*v - 133133784*f wrt v.\nAnswer: -214214895*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(39)*1)\/sqrt(3) - 2*sqrt(13)*-6))**2.\nAnswer: 104*sqrt(13) + 2213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/5 - -4\/15. Let w = -463 - -463.2. Sort -2, w, l.\nAnswer: -2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612455 = 27*n - 6121724. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 3, d: 4, o: 4, k: 2}. What is prob of sequence kok?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f - 41*f + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 3, -1, -3 in increasing order.\nAnswer: -3, -5\/4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 - c + 1. Let b(f) = f**3 - 2*f**2 - 2*f. Let z(r) = b(r) - 2*v(r). What is the derivative of z(m) wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 - y**3\/3 + 3*y**2\/2 + y - 1. Factor c(n).\nAnswer: -(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -314, 0, 2 in decreasing order.\nAnswer: 5, 3, 2, 0, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60600\/216 + -4 + 0. Let x = 277 - b. Sort 2\/3, 3, -0.2, x in decreasing order.\nAnswer: 3, 2\/3, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163358480?\nAnswer: 2, 5, 191, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20206 = -1381*x + 22605 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -5*p, 2*p + 3*i - 4 = -2*i. Suppose -d + 12 = -h, -p*d + 4*h + 15 + 11 = 0. Calculate the remainder when 26 is divided by (-1)\/(1\/2) + d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2\/(-4)*-106. Let d = k - -632. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 3*i)*(4*i - 6*i - 12*i) - 3*i - 2*i**2 + 3*i.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62426099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255 + -1783\/7. Which is the closest to p? (a) -4 (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 11*w + 96. Let g be k(-17). Let q = -184 - g. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**3 + 11*i**2 - 10*i - 8. Let b(r) = 17*r**3 - 23*r**2 + 20*r + 14. Let g(f) = -4*b(f) - 7*q(f). Factor g(z).\nAnswer: -5*z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (3 - (2 - -3)). Let b be 0\/(-1 - (1 + m)). Solve b*s + 6 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204130412 - 3.\nAnswer: -204130415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 7*z**2 + z. What is w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-16)*20\/30)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2036121316 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17586 + 17691. What is the fifth smallest value in 3\/7, -5, -8, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + p)*(-2*p**4 + p**2 - p**2) + (-p**4 + 2*p**4 + 2*p**4)*(-p + 5*p + 2*p).\nAnswer: 24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 46 - 37. Let f(g) = s + 14 + 87*g - 26. What are the prime factors of f(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-20))\/(2\/16). Suppose -2*j + 10 + v = 0. Suppose j = x - 3. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8854 + -1220. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 7*w - 4. Let o be v(8). Suppose -o*b = -2*j + 13 + 15, 4*b = -4. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 83 - 18 = -d, -3*h = -d - 2*d + 12 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -14, -34, 2 in decreasing order.\nAnswer: 2, 0.1, -14, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - -111000100111100?\nAnswer: 111000101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(75))*-6 - sqrt(132)\/sqrt(11)*-4)**2.\nAnswer: -1056*sqrt(3) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.23 or -2\/5539?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 10*l + 15. What is j(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 2*d)*(5 - 5 + 4*d) - 11995*d**2 + 23984*d**2 - 11893*d**2 + 2*d.\nAnswer: 104*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -11885*t**7\/42 + 307*t**4\/12 + 5085*t - 1. Find the third derivative of g(n) wrt n.\nAnswer: -713100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2. Let w(f) = -18*f. Give w(c(z)).\nAnswer: 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 1, p: 1, m: 3, x: 2, w: 4, j: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 572 - -135. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 13. Let h = j - 6. Let v = h + -3. Which is the closest to 1\/4? (a) 0.3 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12009*y**5 + 4*y**2 + 35*y wrt y?\nAnswer: -720540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52\/45 + -14\/15. Which is the fourth biggest value? (a) -0.4 (b) -0.1 (c) j (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34728 or 12222?\nAnswer: 12222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.085723923603+272\nAnswer: 271.914276076397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(204)*-4)\/(sqrt(120)\/(-3*sqrt(10))) + -2.\nAnswer: -2 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120704 + 144?\nAnswer: -120550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 13032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35553 (base 10) to base 7.\nAnswer: 205440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 34. Let j = t - -65. Is j not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 7. Let s = -7.5 - g. Sort -7, -1\/5, s in decreasing order.\nAnswer: -1\/5, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:51 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 419.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10721723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -22. Which is the third smallest value? (a) g (b) -3 (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -5.4. Let b = 9.6 - h. Let x = 5\/24 + 1\/8. What is the closest to b in x, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8455 - 10)\/(1*3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - ((sqrt(108)*-2)**2 + 1)) + (sqrt(48)*2 - (sqrt(9)\/sqrt(3) + 0)) + ((sqrt(9) - sqrt(36)\/(1*sqrt(4)))\/sqrt(3) - (4*(sqrt(3) + -1)**2 + 0)).\nAnswer: -449 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1052 + -628. Let j be -3*(5 - 3)\/(-2 + 0). Suppose -j*h + 4*h = -2*l - b, 5*h = -2*l - 440. What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:40 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*p + 4*a + 38, -3*p - 5*a - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - q = 2, -2*p - 3*p = 4*q + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a century in years?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2346)\/238 + (-10)\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62892 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03500094 - 0.035. Round q to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*c**4 - 2*c - 40.\nAnswer: -372*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.638126 to the nearest integer.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/18 - 3*(-5)\/(1170\/143). Let 40\/9*u + 130\/9*u**3 + 0 - 176\/9*u**g + 50\/3*u**4 = 0. What is u?\nAnswer: -5\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5434 + -688?\nAnswer: -6122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 14 = -64 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**7)))\/n*n**0\/n*n\/n**(4\/5)*n**(-6)\/n)**(-2\/17) assuming n is positive.\nAnswer: n**(148\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 0 + 0)*(-40 - 44*v**2 + 40) to i + y*v**2 + q*v**3 + p*v and give q.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r - 4*i, 629 = -5*r + i + 669. Calculate the highest common factor of r and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 8*g + 189 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwewyewwywkww. What is prob of picking 1 w and 1 y?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 184 = -5*k, -4*k - 2*q = -6*q - 176. Let z = -2 + 3. Let u be 3\/(9\/57) + z. What is the greatest common factor of u and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.9, 0.2, -9.28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**2 + v. Let s(o) be the third derivative of o**5\/30 + 5*o**4\/12 + o**3\/6 - 16*o**2. Let y be s(-5). Determine h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -137*b**4\/6 - 577*b**2\/2 + 73*b - 3. Differentiate q(h) wrt h.\nAnswer: -548*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2*h**3 + 5*h**3 + 3*h**3 + h**3 - 3*h**3 + (1 - h**2 - 1)*(-2*h + 2*h - 2*h) + 10*h**3 - 17*h**3 + 9*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 5971.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:10 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 100961452622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t - 36. What is x(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5 + (1530\/50 - 12 - 15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6324641 tonnes to milligrams.\nAnswer: 632464100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 - 11 = 0. Suppose 0 = k*m - m + 54. What is the units digit of 62\/5 + m\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q - 41. Give t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71193 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-72))\/((-1125)\/(-405)))\/((-22)\/(-5))\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 15. Let s(i) = i**2 + 8. Let t(b) = 8*a(b) + 15*s(b). Let f(w) = -29*w. Calculate t(f(l)).\nAnswer: -841*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20996 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -40*t**2 - 43*t - 99. Does 39 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 80*a**2 - 9*a**3 - 308*a - 207 + 1175.\nAnswer: -4*(a - 2)*(a + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -0.18. Let l(v) be the first derivative of v**3\/3 + 3*v**2\/2 - 25*v + 39. Let c be l(-7). Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242\/5*o**2 + 88*o - 40.\nAnswer: -2*(11*o - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001621 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1294108 divided by 323527.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12407 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (114\/6 - -2). Suppose -19*b + 12 = -g*b. Let a = -8 + 20. What is the highest common divisor of a and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Let u(h) = 12*h**2 + 834*h - 11. Let j(m) = 11*m**2 + 833*m - 10. Let z(c) = -11*j(c) + 10*u(c). What is z(a(v))?\nAnswer: -4*v**4 - 1646*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332968, -665929, -998888, -1331845, -1664800?\nAnswer: -1997753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(4 + 1 + -4). Solve -7 = m*k + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8866692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 6. Suppose -3*s = -c + 1, -c + y*c - 17 = 3*s. Calculate the highest common factor of 36 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7777406321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233, 1195, 1157, 1119, 1081, 1043?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y**2 + 88*y + 358. Determine a(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 14*x**2 + 72*x - 15. Determine t(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.1 (c) -19\/5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 4 (c) 53\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - 103?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686156, 1372350, 2058556, 2744780, 3431028, 4117306, 4803620?\nAnswer: 5489976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40*(84\/35)\/(-4)*(-136)\/(-102)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -51, 1 in decreasing order.\nAnswer: 1, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/2 (b) -0.42 (c) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*i - 176*i - 447 = 19*i + 4431 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401980 - -0.0231.\nAnswer: -401979.9769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001 (base 2) to base 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-20)\/(-5))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.15553?\nAnswer: 0.15553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.5. Suppose 47 = k + 49. What is the smallest value in k, 2\/7, -0.3, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, b: 3}. What is prob of sequence xxxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 2 + 2 + 0*q**2 - 5*q**2 + 3*q**2 + (2*q**2 + 0 + 0)*(3 + 3 - 4) + 4*q**2 - 5*q**2 - 4*q**2 + 77*q**2 + 16 - 16.\nAnswer: 73*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88494.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -643?\nAnswer: -643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Suppose 3*y - 2*y + 3*j + r = 0, 2*j = -4*y - 8. Let c(z) = z**3 - 3*z - 1. Give c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36083 is divided by 824?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10094 = -w, 5*w = -2*z - 0*w + 5056. Suppose 0 = -25*x - z - 24727. What is x rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.07 (b) -2 (c) -296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1 (c) -216 (d) -4\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 u when four letters picked without replacement from {f: 4, b: 2, t: 3, u: 3, y: 1, q: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 - 7*v**2 + 3. Let n(w) = -5*w**3 + 8*w**2 - 3. What is -7*f(c) - 6*n(c)?\nAnswer: 2*c**3 + c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.7655 millilitres in litres?\nAnswer: 0.7987655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000118246 rounded to six dps?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -51\/5, 6\/11, 31, -1, 7\/13 in descending order.\nAnswer: 31, 6\/11, 7\/13, -1, -51\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 + -313. Is 3 - (k + (1 + 0 - 4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174054026 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/10? (a) -0.07 (b) -17 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -242, -244, -246, -248, -250?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*d*n**3*p + 4*d*n*p + 2*d*p + 3*n**2*p - 2*p wrt n?\nAnswer: -1092*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 305*k - 9*k**3 - 155*k - 149*k to the form n*k + u + p*k**2 + d*k**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(5) + 1 - 1*sqrt(180))**2 - (4*-1*sqrt(45))\/(sqrt(27)\/sqrt(3)*-4 - sqrt(9)))*6.\nAnswer: -204*sqrt(5)\/5 + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 8 = 4*c. Let d be c\/7 + 2\/7. Suppose 5*t = l + 63, t + d*t = -l + 15. What is the highest common divisor of t and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37749.57 decades in months?\nAnswer: 4529948.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 27 = 3*n, -3*y - 4547 = -4532 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:22 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)*4\/8. Let j be 0 - (-4 - -5) - (-214 - w). Let s = j - 135. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yufpuyy. What is prob of picking 1 y, 1 u, 1 p, and 1 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 4)*(1 - 2). Let j be (-4)\/(-6)*(-9)\/(-6). Let i = b - j. Which is smaller: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.87626 litres in millilitres?\nAnswer: 65876.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*b = -7*b - 32367, 5*b - 48522 = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.822, -16.6, 7?\nAnswer: 2.822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8046*a - 8046*a + 12*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 61, -21, 3.\nAnswer: -21, -5, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 517 * 1701\nAnswer: 879417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/15 or -3?\nAnswer: -58\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -10. Let d = 8 - o. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/785048 and 35\/1622.\nAnswer: 785048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10 - -1 - (57895\/(-2000) - -20) and -49\/20?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/55, 1842154 in descending order.\nAnswer: 1842154, 5, 3\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 9)*(-n + 15 + 0*n - 18) to the form a + y*n and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 37083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - 0.57. Let s = 162 - 168.9. Let y = i + s. Round y to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*j + 0 - 2*j + 0 + 0 + (-1 - 2 + 2)*(2*j + 0*j - 3*j) + 5 - 7 - 38*j + 5 to the form y*j + s and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**2 + 3*r + 2. Let j be z(-1). Calculate the common denominator of (-2)\/j*73\/(-5) and -38\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 12. Calculate the remainder when 57 is divided by t(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362415.\nAnswer: 3, 5, 37, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155276, -310501, -465688, -620837, -775948, -931021, -1086056?\nAnswer: -1241053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2449341466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*m + 2*m**2 - 2*m**3 + 5 + 2 + 132*m - 267*m to the form b*m + f*m**2 + i*m**3 + h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (2 - 108\/57). Let d = 0.43 + -0.77. Let u = d - -0.74. Which is the biggest value? (a) u (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-94)\/18 + (-12)\/(-54). Let f be (u\/4)\/(4\/848). Let o = f - -456. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:57 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 5*v - 6. Let c(o) = 3*o + 53. Let t(g) = -2*g - 35. Let s(f) = 5*c(f) + 7*t(f). Let b be s(-14). Give a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/21)\/d)*(d**(2\/45)*d)\/d)\/(d**(-4))**(-44) assuming d is positive.\nAnswer: d**(-54826\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/49 and -80\/441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7515927636 a multiple of 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9*j + 8*j + 71650 = 0, -3*r + 53844 = -17*j. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.74600639 - 27.66519531. Let m = z + -5.5887773. Let k = 39 + m. Round k to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 4*q - 504. Let z(l) = l**3 - 8*l**2 + 8*l - 5. Let t be z(7). What is the common denominator of -99\/16 and t - (-64)\/(-36) - (-1762)\/q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)\/(w**(-3\/5)*w))\/(w*(w\/(w**(-2)*w))\/w*w*w*w\/((w\/(w**(-1\/11)\/w))\/w)) assuming w is positive.\nAnswer: w**(-677\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/12)\/((-6)\/15*(-215)\/1204)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1781116, -2, -11 in decreasing order.\nAnswer: -2, -11, -1781116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60364194373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {e: 11, u: 6, d: 1}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 + 82. Let t be (115\/2)\/((-12)\/(-24)). Let h = v + t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10755914*a**3*x**2 - 5*a**3*x + a**3 - 222*a**2*x + a*x**3 - 51*a*x + 7*a - 3 wrt x?\nAnswer: -21511828*a**3 + 6*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(1991\/165 + -12 + (-2)\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 45*s + 139. Let m be b(-3). Solve -110 + 118 = m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 94 + (-2 - (-15)\/3) - -1. Suppose 5*r = k - 13. Calculate the remainder when 30 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x**2 + 36*x**2 - 3*x**3 + 27*x**2 - 131*x**2.\nAnswer: -3*x**3 - 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2699*i - 18. Let s be l(2). What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-4 - -7) + -10 - 20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**(-19)\/(((j\/(((j*j*j*j*j**(-1\/3))\/j*j)\/j))\/j)\/j**27) assuming j is positive.\nAnswer: j**(-367\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*v + 4*t, 7091 = -5*v - t + 7121 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.9825502 nanoseconds?\nAnswer: 0.00000000004970917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*1 - -4*sqrt(84))\/(4*2*sqrt(108) + sqrt(108) - sqrt(108)).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -51. Which is the closest to -2? (a) -0.3 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11121444 (base 5) to base 14\nAnswer: 27bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5250*o**2 + 180*o + 4957. Let c(y) = 1313*y**2 - 40*y - 1239. Let t(q) = -18*c(q) - 4*g(q). Differentiate t(v) wrt v.\nAnswer: -5268*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3 - 1182*g**2 - 166972*g - 329232 = 0.\nAnswer: -361, -228, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(4)*-2 + sqrt(4)))\/(sqrt(576)\/sqrt(4)) - (-1 + sqrt(7) + 2)*6*-6.\nAnswer: 36 + 143*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1573)*-4*3 - sqrt(1573) - sqrt(1573) - (sqrt(1573) - (3*sqrt(1573)*-3)**2)) + 3).\nAnswer: -990*sqrt(13) + 764496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 - (-1 + (2 - -8))) - 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/35 (b) 0.2 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 5:22 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 12\/7 - 4*f - 4\/7*f**3 + 20\/7*f**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(10\/(-24))\/(14520\/(-1584))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1317 - -1321. Solve y = -5*t + 11, 0 = -5*t - d*y + 17 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:07 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 225204491849?\nAnswer: 225204491853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**3 - 4*n**2 + 14*n**3 + 6*n - 5*n**3. Let b(m) = -3*m**3 - 5*m**2 + 7*m. What is -4*b(z) + 5*y(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 974768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369675.\nAnswer: 5, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.112, -0.06, 387\/7 in ascending order.\nAnswer: -0.06, 0.112, 387\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/5 + (-14)\/(-35). Suppose 5 = q*u + 1. What is the third biggest value in 0.5, 2\/9, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 619, 889, 1405, 2251, 3511?\nAnswer: 5269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000089538 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-301)\/172*18\/21.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 7. Let v be (n - 0)\/(-3)*1. Let q(f) = -f**3 - 4*f**2 + f - 4. Determine q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4000171292717*q + 2*q**2 - 4000171292717*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 7202?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 5*h - 8. Let c(s) = 11*s**2 - 2*s - 2. Calculate the remainder when c(-2) is divided by t(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 692*j - 76. Let p be (-160)\/(-72) - (-8)\/(-36). What are the prime factors of r(p)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10174819331 minus -0.29?\nAnswer: -10174819330.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1443232 and 154343?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1147?\nAnswer: -1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 3*a**2 - 6*a + 6. Let x be i(4). Let o be (28\/(-8) - -4)\/((-2)\/(-192)). Let l = 50 - o. Sort 5, x, l in ascending order.\nAnswer: x, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/16)\/((-3)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 59*h + 1.\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-4)\/(-642)). Let i = l - 49. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29100397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1247 divided by 8\nAnswer: 1247\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**8\/28 + 15*b**6 + 1091*b**4\/12 + 3*b - 346. What is the third derivative of d(h) wrt h?\nAnswer: -240*h**3 + 10800*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/(7\/224*-1). Suppose -4*w = -5*r + 15, -2*r + 3*w - 5*w = -6. What is the greatest common factor of x and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by -16\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (-9)\/(-2)*2 - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362822998 to the nearest integer?\nAnswer: 36916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.09 + -14. Let v = r + 10.91. What is the second smallest value in v, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -77. Let d be 7\/j - (-1)\/5. Are 0 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57019650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 13 = -2*f, -34*f + z + 17 = -31*f. Suppose -4*n = m - 20, -6 = -n - 3*m - 1. Solve 0 = f*y + 4*h - 5*h - 24, -3*h = -n*y + 37 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 542272 (base 11) to base 14\nAnswer: 187c66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -3 + (4 + -2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 6. Let u = 7 + o. Let s = 47\/171 - 1\/19. Which is the nearest to 1\/4? (a) 3 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166053 * 0.08.\nAnswer: 13284.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -44.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3711266 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 23*a**2 + 7 - 9 + 0.\nAnswer: -23*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 13 = -1021. Let d = g + 170. Suppose 0 = 3*b - 3 - 15. Solve -w - p = 0, 3*w - b*p + d*p = -21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m**2 + 4*m + 4. Let g be d(-3). Let i be (1\/2)\/(3\/g). Let n = i + -21. Is 0 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 923*u**5 + u**4 - 4071*u?\nAnswer: 18460*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25 - 12075\/(-490))\/(1 + 27\/(-12)). Which is the fifth smallest value? (a) -6 (b) t (c) -16 (d) -0.5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73.21559m?\nAnswer: 73215.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 0 + (1 + sqrt(117))**2 + -5*(sqrt(117) + -2 - sqrt(117))**2 + 2*-3*sqrt(117).\nAnswer: -12*sqrt(13) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*c - 2*c. Suppose 0 = a - 2*i - c - 6, 2*a = i + 27. Let m = 59 - a. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 363 = -15*y. Let l be (-112)\/55 + y\/(66\/12). Let q = -4 + 6. What is the third biggest value in q, 1\/4, -2\/17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 7, -163*l + 158*l + 2*d - 114 = 3*d for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113070*j**4 + 12*j**3 + 16213462*j**2 wrt j.\nAnswer: 2713680*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -3. Let j = -3 + l. Is (j\/(-3))\/(6\/27) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/1047, -5, 4\/9, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7641 * -0.39504\nAnswer: 3018.50064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**2 + 3*a - 1\/3*a**3 + 3. What is n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from tmmsytstxttmtmz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, -443, -37?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/140)\/(-9))\/(2\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 647, 5, 171 in decreasing order.\nAnswer: 647, 171, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 52*z + 346. Calculate the remainder when 434 is divided by w(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:15 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/9 and -63\/176?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29573704 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15222\/(-9933) + 540\/297.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -164?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304*r**3 - 331*r**2.\nAnswer: 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 681, 1365, 2277, 3417, 4785, 6381?\nAnswer: 8205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r - 1. Let j(x) = -9*x**2 - 6*x - 6. Let f(o) = -8*o**2 - 5*o - 6. Let t(p) = 3*f(p) - 2*j(p). Determine t(h) - 5*v(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 411612?\nAnswer: 411616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.229 not equal to -19.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 11*g**2 - 14*g + 17. What is k(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 1, -3, 0.08, 25 in descending order.\nAnswer: 25, 1, 0.08, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.57 + 0.43. What is the smallest value in m, -3, 9, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14265\/29 or -492?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88996738849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/37 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935*g + 931*g = -3*a - 35, 4*g + 4*a = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 2*f**7\/21 - 8*f**6\/15 + 4*f**5\/5 - 319*f. Factor v(m).\nAnswer: 4*m**3*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611866648.\nAnswer: 2, 76483331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9758, 19522, 29286?\nAnswer: 39050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.638 - -141.638. Sort 0, 0.3, -5, b in ascending order.\nAnswer: -5, 0, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - w = 1, 0 = -143*s + 141*s - w - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/6*(-8)\/(-10). Let j be 111\/6 + y\/(-4). Calculate the highest common factor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 331803*x. Let g(s) = 5*s**2 + 1. What is k(g(j))?\nAnswer: 1659015*j**2 + 331803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 1129\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 13 - 28)*(-2 - 3*v + 2) as r + j*v and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 10 + 4 - 17*y - 6. Let f be a(-8). Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**4 - 17337*d**3 + 138567*d**2 - 363627*d + 311634 = 0.\nAnswer: 2, 3, 5771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:32 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*m + 7 = 0, -m - 1 = -u - 3*m. Solve s + u = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4581?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120740887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25086063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**5 + 8*s**4 - 23*s + 9.\nAnswer: -60*s**3 + 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(2\/13))\/(s*s**15))**5)**(-1\/23))**(3\/14) assuming s is positive.\nAnswer: s**(2955\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -22)*10\/3. Suppose 0*i + 3*i = b. Let q be ((-4)\/14 - (-32)\/56)*7. Solve q*f + 2*f = -i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 + 4)*(-4*j - 4*j + 7*j) - 1000*j + 22*j - 340*j + 5 - 119*j - 5 in the form q*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - 2135?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - x)*(2 - 1 - 8) - x - x - 2*x + 3*x - x + 0*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000145715 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 + 566 - 1804 + 3*c**2 + 574.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194 is divided by 2567?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -55. Let k(f) = 2*f**2 + 3*f + 3. Calculate the remainder when u is divided by k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -36.2. Which is the closest to t? (a) -2\/11 (b) -1\/10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7900579, -7900576, -7900559, -7900522, -7900459, -7900364, -7900231, -7900054?\nAnswer: -7899827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - d**3\/2 + 14*d**2 + 8*d - 96.\nAnswer: -(d - 4)*(d - 3)*(d + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -5)\/(1\/5). Let i be (1 - 0)*(4 - 6). Let z = i - s. Solve -2*k + z*k = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 977*x**4\/4 - 359*x**3\/3 - 1349. What is the third derivative of v(d) wrt d?\nAnswer: 5862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279148 by 4.\nAnswer: -69787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 - 165.2. What is the smallest value in m, -0.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 7*y**6\/120 - 37*y**5\/60 + 19*y**4\/12 - 4*y**3\/3 + 3*y**2. Determine k so that l(k) = 0.\nAnswer: 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/6 + l**2\/2 + 23*l. What is f(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = q, 2*q - q - 3*r = 2. What is the highest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 63*h + 351. Let l(k) = -95*k - 526. Let c(b) = 5*l(b) + 8*v(b). Let n be c(-6). Put n, -4, -1, -96 in decreasing order.\nAnswer: n, -1, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 3, s: 3, m: 6, q: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c**2 - c)*(-37 + 37 - 58*c) - 4*c**3 - 2*c**3 + 4*c**3 + 6*c**2 - 8*c**2 - 2*c**3 + 4*c**3.\nAnswer: 116*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or -169868?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/2 + -73\/10. Let k = 0.8927 + -0.7927. Which is the third smallest value? (a) q (b) k (c) -0.1 (d) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -40. Let u = 0.2 - 0. Which is the closest to u? (a) 1\/2 (b) y (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from whwhwhhrih.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/3 + 18776*b\/3 + 88134544\/3 = 0. What is b?\nAnswer: -9388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, 3, -3 in ascending order.\nAnswer: -3, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and 1095.\nAnswer: -109500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 - 1)*(-6 + 2 + 2) + (-1 + 3 - 3)*(0 - 4 + 1))*(-i - 11 + 40 - 59) in the form x*i + c and give c.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1726.\nAnswer: 8630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 897848*d**2*i + 2*d*i - 1185744*d wrt d?\nAnswer: 1795696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 + 7*r**2 + 3*r - 6. Suppose -2*b = 3*f + 13, 2*f = -3*b - 13 + 1. Let z(n) = -n**3 + 2*n**2 + n - 2. Calculate b*u(l) + 7*z(l).\nAnswer: l**3 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/20 - (-138)\/230.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 4. Let s be (-4)\/16 - 34\/(-8). Suppose -2*k - 13 = -k + 3*u, -30 = -5*k + s*u. Solve -n = -2*l + 5*v, 2*l + 2*v - 2 = -k*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 48*n + 80*n**2 + 573*n**5 + 563*n**5 - 1135*n**5 + 15*n**3 - 14*n**4 + 2*n**3 = 0.\nAnswer: -1, 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187*m**2 - 244*m**4 + 429*m**2 + 698*m**4 wrt m?\nAnswer: 10896*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5096167*f*k**3 + 2*f*k**2 - 1584758*f*k + k**3 wrt k?\nAnswer: -30577002*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -195, -206, -233, -282, -359, -470, -621, -818?\n\"Answer: -v**3 - 2*v**2 + 2*v - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxuuxxxxxu. Give prob of sequence ux.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12)*1188\/(-528)*38\/12.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 348, 523, 698, 873, 1048?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -21*r**2 - 2783*r - 1287. Determine y(-132).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 24*j**2 + 23*j + 48. Calculate h(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 + 747*g**3 - 10284*g.\nAnswer: -40*g**3 + 4482*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -9*j + 36. Suppose k - j = -2*k. Let b(d) = -d**2 + 12*d + 4. Let w be b(k). Solve -4*h = -2*r - 4 + 14, 0 = -h - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158360.\nAnswer: 2, 5, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 103*u**6\/120 + 83*u**3\/6 + 23*u**2 + 1. Differentiate w(b) with respect to b.\nAnswer: 309*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*w + 199 = 0, -3*x - 143 = -0*x + w. Let f = -26 - x. Suppose 22 = 4*o - 2*l, -l - 7 = 3*o - 21. Solve -b = -o*b + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.004? (a) -1 (b) 5\/2 (c) 2 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108042 is divided by 3483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 1024?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85316.1 millilitres to litres.\nAnswer: 85.3161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + -113?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 12*f - 2288 = 0. Let k = -85 - f. Calculate the remainder when 109 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0772*0.7\nAnswer: 0.05404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57597\/5 + 11520. Which is the third biggest value? (a) 9\/5 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 772539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0*b**2 + 4*b**2 - 8*b + 5*b as k*b + w*b**2 + p and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -85 + 89 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2497 + 2508. Solve y*o - 18 + 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5, 7888, 20 in descending order.\nAnswer: 7888, 20, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -563, -1005, -1447, -1889?\n\"Answer: -442*o - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 53.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2248962 + 16?\nAnswer: 2248978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/7, 0.1374, 0.108, 0.06.\nAnswer: -3, -3\/7, 0.06, 0.108, 0.1374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 + 6*k**2)*(21*k - 49*k + 13*k + 0*k + 2*k + 0*k + (k + k - 3*k)*(-2 + 2 - 2) + 0*k - k - k).\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.10497 and 54.\nAnswer: 54.10497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (58 - -53) + -139?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(-3*f + 4*f + 0*f) - f + 4*f + 3*f - 1833 + 120*f + 1833 as v*f + r and give v.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -13215\/742 and -18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/60 + r**4\/4 - 423*r**3\/2 - 938*r**2. Differentiate h(n) with respect to n.\nAnswer: -6*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/2 - 83*m**4\/2 + 1533*m**3\/2 + 3851*m**2\/2 - 22367*m + 19716 = 0 for m.\nAnswer: -6, 1, 4, 31, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 181. Let m = -48 + 145\/3. Which is the closest to m? (a) 1\/6 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Suppose -5 = -3*w + 2*w. Suppose -3*z - 17 = 10*a - w*a, -3*a + 4*z = 16. What is the third biggest value in a, 1, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*38\/6897)\/(-3 + 87\/27).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k - 3. Find the third derivative of k - 1 - 10*h**5 - 6*h**2 + 5*h**5 wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-7)\/(-6)*(-72)\/(-112)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(120)\/(sqrt(10) + (sqrt(10)*-1 - sqrt(10) - sqrt(10))).\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.00000022. Round d to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s**2 - 2*s**2 + 0*s**2. Let c be 3 + 1*(1 - 2). Let g(z) = -z**c - 1 + 1. What is j(g(p))?\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 245\/875*10\/(-4)*(-1175)\/(-658)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (40 + -22 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 1. Let a(h) = 3*h + 1. Let i(d) be the third derivative of -13*d**4\/24 - 71*d**3\/6 - d**2 + 13*d. Let u be i(-5). Give u*a(l) + 7*t(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 1549667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -28*f**2 - 3*f + 2. Determine u(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*738\/861.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201946897 less than or equal to -201946901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -27. Let t(h) = 4*h + 107. What is -2*t(g) - 9*x(g)?\nAnswer: -8*g + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, j: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-700)\/(-385))\/10)\/((-92)\/(-88)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3029172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*b + 1924 = 0, 4*b - 9662 = -61*p + 56*p. Calculate the least common multiple of 114 and p.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 5. Let s(d) = d - 1. Let i(c) = 9*c - 13. Let b(n) = i(n) - 4*s(n). Let j(p) = -4*b(p) - 7*t(p). Calculate j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -2 in increasing order.\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*i**3 + 470*i**3 - 90*i**3.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 284, 1156 in ascending order.\nAnswer: 3, 284, 1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -6. Let l be ((-21)\/(-6))\/o*-8. Suppose 0 = -l*f + 51 + 61. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.6 - 0.6. Let d = c + -9. What is the second biggest value in 0.5, d, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + df?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 20.5. Let g = 0.6 - f. Do g and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Solve -5*z - 39 + 14 = 0, t*a - 2*z - 12 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 4*k - 3*q - 21, q = -5*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2123 - -2471. What is the highest common factor of h and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {o: 4, g: 1, n: 4, b: 1, l: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:03 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-1 - -8) + -12 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/46 smaller than 3158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/3 - 7*p**2 - 13*p - 19\/3 = 0?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 2. Let r be o(-4). Calculate the remainder when (r - -1)\/(1\/(-61)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/4 + 6*f**2 - 57*f\/4 + 15\/2.\nAnswer: 3*(f - 1)**2*(f + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -818 - 7720.871\nAnswer: -8538.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-3 - (sqrt(28) - 1*sqrt(448)))\/(((sqrt(80)*-2)\/sqrt(10) - sqrt(8))\/sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8)*(1834\/(-1179))\/((-5)\/(-6))?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 2) + (21 - (6 - 60 - -59))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-8 + (-3 - -5)). Let h = -3 + c. Let m = 453\/68 + -58\/17. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 10*m**2 + 2*m + 7. Let s(x) = x**2 + 1. Let g(n) = r(n) - 4*s(n). Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555.838 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -3. Let r = 44 - o. Let s(v) = v**3 - 3*v + 2. Let c be s(2). Solve -c*g + 0*g = -r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*m - 29 = 0, -4*k - 2*m - 2*m + 12 = 0. Let p = 6 - 3. Solve 0 = k*s - p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. Let s = 10 - y. Suppose -157 = -s*f + 358. What is the remainder when f is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 8746.9342.\nAnswer: -8746.5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 2*f - 1. Give i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 19 = -4*c, 0 = 3*g - g - 2*c - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2 + 176*o - 54. Let k be w(29). Let u(c) = -2*c + 1. Let z be u(-1). Solve -z*h - 10 = 2*a, -2*h - 2 = -3*a - k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -253355\nAnswer: 25335.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*g - 9, -729*w = -727*w + 5*g + 4. Which is the smallest value? (a) -0.3 (b) 0.4 (c) 0.2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -15*b - 172. Let u = 66 + b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7239865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0 + 0*u + 3*u**2 - 19\/60*u**5 - 2\/3*u**3 + 0*u**4. What is the first derivative of s(v) wrt v?\nAnswer: -38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 84 = 24 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.5 plus -19?\nAnswer: 94.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/7 - 3*l**3 + 180585*l**2\/7 - 2393997*l + 16577418\/7 = 0. What is l?\nAnswer: -286, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*t - 153*t + 40 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:19 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 12:59 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38705899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15380 (base 9) to base 4\nAnswer: 2210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*k + 107*k - 144 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -325056, -324690, -324326, -323964, -323604?\n\"Answer: -z**2 + 369*z - 325424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(63) + -1 + (sqrt(63) - (sqrt(378)\/sqrt(6)*5 - sqrt(63))) - (sqrt(63) + 3*sqrt(63) + -5 + 0 + sqrt(1008)))**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d - 15 + 15)*(17 - 14 + 37)*(12*d**2 + d**2 + d**2) to the form n*d + l + b*d**3 + w*d**2 and give b.\nAnswer: -3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3032094 by 77746.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixi when four letters picked without replacement from {i: 3, x: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -3*d = 23 + 1. Let o = d + 30. Calculate the lowest common multiple of o and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 1\/7, -6.37, -26?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345823 is divided by 115125?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*d - 26038, 2*b + 11 = 7. List the prime factors of d.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80521*z**3 + 160498*z**3 - 92066*z**3)*(1 + 0 - 2) - 3 + 3 - 3*z**3.\nAnswer: 12086*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 16. Let n = 2 - 5. What is the nearest to n in k, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -201967\nAnswer: 5\/201967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32061, -32002, -31903, -31764?\nAnswer: -31585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = 0, 709*j = 713*j + 5*o - 2156. Let h = 303 + -625. Let u = h + j. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 - 21*t + 1. Let m be b(-3). Suppose -m = -11*r - 4. Solve -2*p - 8 = 2*x, 0 = -x - 4*p - 4 - r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1331) + 5)*-2 + (1*(sqrt(1331) + -1 + sqrt(1331)) - sqrt(1331) - (-2 + (sqrt(1331) + 0 - sqrt(1331)))))*-1)**2 + -2.\nAnswer: 198*sqrt(11) + 1410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 627746 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -5912 = -5911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/23 - 28\/115. Let u be (-4)\/26 - (-2 + 2). What is the nearest to 0.1 in 2, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68408002 to the nearest integer?\nAnswer: 8271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9030 - 13*m**2 + 4514 + 4516.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2663\/10 - 265. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2167 - -4083. Let v = 2701 - p. Let l = 784.118 - v. Round l to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(162) + (3*sqrt(54))\/sqrt(3))**2 - (-3*(sqrt(150) - sqrt(6)))\/(((sqrt(15) - sqrt(60))\/sqrt(5) - sqrt(3)) + sqrt(3) - sqrt(3)).\nAnswer: -42*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 58. Let t = u - -44. Let s = t - 37. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/69 - -451\/1173. Let k = -61\/51 + f. Let u be -1 - (5\/(-2))\/5. What is the third biggest value in u, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let r(a) = -2*a. Let m(q) = -3*q**2 - 18*q. Let n = 39 + -21. Let c(z) = n*r(z) - 2*m(z). Calculate c(p(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2333*c**2 + c + 1. Let l be v(2). Suppose 4*s + w - 7474 = -w, 5*s - l = -5*w. Let m = s + -1247. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.586316 minus 254906?\nAnswer: -254905.413684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 26. Let l = 6 - t. What is the units digit of l\/6 + 24\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 181. Let p = 91 + q. Solve p*i + 5 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (24 - (15 - 2)) - (-15 + 1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90\/19? (a) -1 (b) -11 (c) 3 (d) -1\/7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 53*q + 229425 = 0. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001665 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*q - 2 = -12, -2*h = 3*q + 6. Suppose h*a - 3*v + 37 = 5*a, 5*a + v = 39. What is the highest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -692503*j**3 + 2*j - 3773379 wrt j.\nAnswer: -4155018*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)**37*(s*(s\/((s\/(s*s**(-1)))\/s))\/s)**(2\/27))\/((s**1)**(2\/23)*s*s\/(s\/s**(1\/2))*s\/((s**(-2\/15)\/s)\/s)) assuming s is positive.\nAnswer: s**(-28853\/6210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxljnbljej. Give prob of picking 1 l and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101723317379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.397*16.6.\nAnswer: 6.5902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*j + 172 = -m, 118 = -2*m - 4*j. Let t = 51 + m. Suppose 3*n = -3*s + 6, -n + t = -0*s - s. Solve -2*z + n = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + p**2 - 8*p + 11. Is 53 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(405\/282) - -1 - (-61 + 56).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469494698 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2571, -5372, -8173, -10974, -13775?\nAnswer: -16576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 35\/21)*(-6)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8342 + 8341.5391. What is a rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 36. Determine x(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192270 - 20105*y**3 + 192270.\nAnswer: -20105*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 21, 243\/34, -2, -0.04, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 62, 127, 228, 377?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 32263983\nAnswer: 12905593.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/(2\/(-5)). Let g be 2\/4 - (-5)\/s. Differentiate -1 + 2 - 5 - g*z**4 wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/21 and -59\/57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110\/713733 or 1?\nAnswer: 110\/713733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10535357 and 184.\nAnswer: 84282856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 664\/(-21580) + (-278)\/(-585). Factor -g*y**2 + 64\/9*y - 20\/3.\nAnswer: -4*(y - 15)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 - 338.402. Let t = w + -141.598. What is the second biggest value in -5, 0, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**2\/f*f))\/f*f**(-2\/17)*f**6\/(f**(-2)*f)*f**(-1)\/f*f**5*(f**0\/f*f)**(2\/23) assuming f is positive.\nAnswer: f**(134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61163032 to the nearest integer?\nAnswer: 7821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -743, -2, -0.1, -6, 1, 4\/9 in descending order.\nAnswer: 1, 4\/9, 0, -0.1, -2, -6, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -275, -77, 201, 559, 997, 1515?\nAnswer: 2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22417.9391 + -22418. Which is the fourth smallest value? (a) 1\/6 (b) 0.1 (c) -3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 62*j**2 + 54*j**2 + 53*j**2 + 5*j + 2 - 170*j**2. Suppose -34 = -5*u - 4. Let p be m(u). Which is the closest to -0.1? (a) 2 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82401101 to the power of 1\/2, to the nearest integer?\nAnswer: 9078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 2, 4, -7, 2.7, 651?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 159*a + 2409. Let r be v(13). Solve r*u = -5*z + 37, -34*z = 5*u - 32*z - 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258151, 258153, 258155, 258157?\nAnswer: 258159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at most -534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovwowvphqwwwww. What is prob of picking 1 o and 1 v?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7122.\nAnswer: -5\/7122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 552*g**2 - 1116*g.\nAnswer: 3*g*(g - 2)*(g + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (-4*sqrt(104)\/sqrt(2)*2)**2 + 2 + 0.\nAnswer: 3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 2*q - 1. Suppose 7*i - 3 = 4*i. Let s be c(i). Solve 0*n + n + 3*j + 13 = 0, -3*n + s*j = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofu when three letters picked without replacement from aaauooaaaofaaa?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304860588.\nAnswer: 2, 3, 25405049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -49. Which is the fourth smallest value? (a) -0.2 (b) l (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-21)\/9 + (2 - 0)). Let x be -21*((-26)\/c + 4). Solve x = -4*l + 3*l + 3*v, -2*v = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/286)\/15*-2 + 1062\/(-66)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8933498758?\nAnswer: 2, 14627, 305377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*o**2 + 0*o**3 + o**3 + 455*o**2.\nAnswer: o**3 + 1805*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - u, 5*l = -2*u - 14147 + 14150 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:33 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101110100111100 (base 2) in base 5?\nAnswer: -14424230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81439622.0000068 - -81439601. Let g = 0.54 + 20.46. Let c = z + g. What is c rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 2:49 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*q - 6801*a + 6804*a, 4 = -2*q + 2*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 5*a - 6. Let g be 75\/(-30)*2\/(-1). Calculate c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 7*d - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 10*r + 272 = -17*r. Let t = 0.01 + 3.99. Sort 2\/5, 4\/5, r, t in increasing order.\nAnswer: r, 2\/5, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(44) - (sqrt(11) + (sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11) - sqrt(11)))*-4.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p + 10. Let d be (p + 4)*-1 + 1. Sort d, 6, 1 in increasing order.\nAnswer: d, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 - 2*a**3 + a**3 + (-1 + 2*a + 1)*(2*a**2 - 4*a**2 - 2*a**2) + 4*a**3 + 2*a**2 - 2*a**2.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -276 + 291. Let h(p) = 7*p - 105. Let l be h(w). Which is smaller: 4\/123 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5466518, -3\/7, -3\/4, -0.1, 4 in ascending order.\nAnswer: -5466518, -3\/4, -3\/7, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 + 9 - 9 + (-2*u**2 - u**2 + 5*u**2)*(-4*u + 3*u - 4*u))*(-2 - 2 + 2).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65757923 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 1. What is o(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*q**3 - 2289*q**2 - 286307 with respect to q.\nAnswer: 48*q**2 - 4578*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8289\/5 - 1658. Sort s, 4\/7, 1.8, -2 in descending order.\nAnswer: 1.8, 4\/7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 113*k + 457. Let f be c(-7). Let u = -338 - f. Sort 61, 2, -5, u in ascending order.\nAnswer: -5, u, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 0.4 (c) -2 (d) 25 (e) -284\/13 (f) -1 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 6*h**2 + 6*h + 1. Let p be u(-5). Let g be (8\/p)\/2 - -4. Suppose -v - g*v + 28 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49937272 divided by 3.\nAnswer: -49937272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2459601 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + -2 + (5*(sqrt(243) + (sqrt(243) - sqrt(243)*1)) - sqrt(243)) + 3)*-4)**2.\nAnswer: 2304*sqrt(3) + 62277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 8623 - 17197 + 8429 + j.\nAnswer: j - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 959000 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5541 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40724 + -36257.4. Round g to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -184386941 to the nearest 10000.\nAnswer: -184390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 + 0)\/(7\/(-21)) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = 8. Let n(i) = -3*i**2 + 10 + 6*i + 0*i**2 - 11 + 2*i**2. Is n(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/120 + 31*f**5\/60 - f**4\/24 + 5*f**3 + 49*f**2. Let q be n(31). Let d(l) = l**2. Give d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 213338.170603?\nAnswer: -213339.070603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2684 (base 11) to base 4.\nAnswer: -312120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 366*y + 4794. Give d(-13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 489761814 take away 0.7?\nAnswer: 489761813.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 3 (c) 2 (d) 13099 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*j + 738, 25*j - 28*j - 1065 = -3*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (16 - 1) - (-53 + 49).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w**5 - 3436*w**4 - 53860*w**3 + 180460*w**2 - 111456*w - 11664 = 0 for w.\nAnswer: -54, -27, -1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -111013, 36 in descending order.\nAnswer: 36, -9, -111013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/168)\/(392\/882)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12 - 10) + (-26)\/5 and 23\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 11*t**2 - 10*t + 69. Give s(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246535141?\nAnswer: 246535141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(2\/3)*s)**(3\/17))**45 assuming s is positive.\nAnswer: s**(495\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + 1) - (-4 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 135 = 5*z, -3*z - 65 = -o. Let p = o + -44. What is the greatest common factor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-44 - -28) + -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/(-9) - (-2)\/9. Let v = 6 - -1. Suppose -3*i = -d - 14, -v*i - d = -3*i - 21. Solve r*s + 3 = -i*b + 28, 0 = -2*s + b + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2.5, 105.57, -4 in decreasing order.\nAnswer: 105.57, 2\/15, -2.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85236118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/29 + 77\/87. Let y = 121.9 + -122. Which is the closest to y? (a) u (b) 33 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20)*(-20)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.036069 - -0.036. Round m to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 8*l. Suppose 2*q + 5*i = 11, -q - 3*i + 2 + 3 = l. Sort -2, -4, q in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a55 (base 16) to base 13\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 332959, 665844, 998729, 1331614, 1664499?\n\"Answer: 332885*s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 1. Let x(u) = u**2 + 2*u - 1. Let m(j) = -2*v(j) + 3*x(j). Let d = -65 + 74. Let o(t) = -8 + d*t - 8*t + 9. What is -m(n) - 2*o(n)?\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 75097 + 74966 - 6*c + 2*c.\nAnswer: -2*c - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85380, 85382, 85384, 85386, 85388, 85390?\n\"Answer: 2*j + 85378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 524857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12*i**2 + i + 1. Suppose -4 = j + 3*j. Let x be k(j). What is the tens digit of (x\/(-36))\/(1\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8933, 17880, 26833, 35792, 44757, 53728?\n\"Answer: 3*l**2 + 8938*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = -38*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1609 is divided by 159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16449 - 364*t - 497*t - 16450 + (5*t + 0*t - 3*t)*(-3 + 6 - 1).\nAnswer: -857*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 140 - 1124 = 0. Let p = o - 84. Suppose 5*w - w = -p. Is -20 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3313 - 186?\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s = -72*s + 92*s - 966 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - r**3 - 3*r**3 + 0*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14 - 2*q**3 - 3*q + q**3 + 22*q - 30*q**2 + 4. Let v(c) = -6*c**2 + 4*c - 2. Let n(y) = -2*k(y) + 11*v(y). What is s in n(s) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12695 - 12632. What is the remainder when 2330 is divided by j?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 284.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 669600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.91 + -0.09. Let i = -3 - c. Is -1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34943 + -134681\/4. Let p = 1281 - r. Find the common denominator of (-4)\/6 + 68\/66 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38723 + 38722. Suppose 2*z = -2 - 6. Put z, b, -2, 1\/3 in increasing order.\nAnswer: z, -2, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 26*p - 9. Let w(d) = -55*d + 19. Let k(u) = -13*m(u) - 6*w(u). Let c(r) = 8*r - 4. What is -3*c(n) - 4*k(n)?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(sqrt(833) - sqrt(833)*-1).\nAnswer: -210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0804 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + z = 10 + 10, -3*a + 3*z + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 238. Let a(u) = 4*u + 240. Calculate -4*a(q) - 5*w(q).\nAnswer: -q + 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13105 + -12236. List the prime factors of s.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3411*d + 355 + 1699*d + 1706*d in the form m*d + k and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3166, -3527, -3888, -4249, -4610, -4971?\nAnswer: -5332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 4*f + 7. Let n(b) = -b**2 - 5*b - 7. Let v(j) = 4*n(j) + 3*u(j). Factor v(z).\nAnswer: -(z + 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 197105, 197097, 197077, 197039, 196977?\n\"Answer: -g**3 - g + 197107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(76) + sqrt(76) + (-3*-2*sqrt(76) - sqrt(76))))\/((sqrt(160)\/sqrt(4)*-1)\/sqrt(10)))**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrrqrrqrr. What is prob of sequence rqq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.75 - 0.75. Let i = 4 + -8. Let o = x + i. What is the nearest to -2\/5 in 5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-4)*v))\/v*v**(-12)*v**(-1\/5)\/v**17 assuming v is positive.\nAnswer: v**(-131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/28 - (-6)\/21. Which is bigger: c or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 7 - 1*(-38)\/(-40). What is the second biggest value in 2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/165 and -37\/709?\nAnswer: 116985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 977.506 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - b**2 + 3 - 4. Let l(o) = -7*o**2 + 8*o**2 - o**3 + 2 - 4 + o**2. What is l(k) - 2*r(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -3 - (12 + 3 + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -59. Suppose 3*q - 117 + i = 0. Suppose t = 5*t - 52. What is the remainder when q is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 5*k**2 + 9*k - 7. What is the units digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -14)\/(219 - -447).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 2*g**2 + 13*g + 19. Let c be a(-9). Let z be -1 - (c\/5 + 4). Let w be (-2)\/22 - (-1246)\/154. What is the highest common divisor of w and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -15. Let y be 0*(q\/4 + 2). Let v = -1324 - -1326. Solve -5*r - v*b - 23 = y, -4*r + 0*b = -2*b + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4644497 divided by -13.\nAnswer: -357269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297028154?\nAnswer: 2, 61, 2434657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/6*(-204)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) + (0 - (-22)\/15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112, 228, 344?\n\"Answer: 116*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3037*o**3 + 3013*o**3 - 6034*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((84\/(-45))\/14)\/((-2)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(5))**2 + 3 + 1 + sqrt(325) + -1.\nAnswer: 5*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8572?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*g**2 + 257208328*g + 48932044373192.\nAnswer: 2*(13*g + 4946314)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b - 5 = -g, 5*b = -3*g + 11. Let f = -0.575 - -0.475. What is the biggest value in g, 1\/4, f, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 28306705?\nAnswer: 849201150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-457*o**2 - 287*o**5 + 457*o**2)*(55 - 21 + 36).\nAnswer: -20090*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -608*v - 617*v - 19 + 1209*v to the form q*v + i and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -158*i**2 + 15640*i + 198 = 0.\nAnswer: -1\/79, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, q: 5, s: 2}. What is prob of sequence qs?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 136.494ml?\nAnswer: 0.136494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - 222034423?\nAnswer: -222034342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/6 - 19*p**5\/60 - 11*p**2. Find the third derivative of h(z) wrt z.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-66)*12\/(-378)*-36.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((-3588)\/(-115))*4\/(-10)*66?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.058 and 126793.895315.\nAnswer: 126793.837315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*w**4 - 7956*w**3 - 3912121*w**2\/4 + 2734875*w - 1890625.\nAnswer: -(w + 250)**2*(8*w - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/32*768\/(-208)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*4 + (sqrt(171) + (sqrt(171) - (-2 + sqrt(171) - sqrt(171)))**2 - sqrt(171)).\nAnswer: 40*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + ((sqrt(480) + -5*sqrt(480) - sqrt(480))\/sqrt(10))**2 + (sqrt(432)*-3)**2 + -2 + -3.\nAnswer: 5078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 56. What is the remainder when 33 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1477 + 0.0477. What is the nearest to d in 11, 0.4, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2244 and 26084817?\nAnswer: 104339268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 23*n = 496. Let b = n - 495\/4. Sort b, -1\/4, -2, 5 in descending order.\nAnswer: 5, b, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27 - 0)*21*(-279)\/31?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*s = -27, -3*u + 16*s - 15*s = -39. Calculate the remainder when u is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/1155 + 13*o**6\/220 - 41*o**5\/110 + 125*o**4\/132 - 14*o**3\/11 + 9*o**2 + 2*o + 17. Factor b(a).\nAnswer: 2*(a - 1)**3*(a + 42)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - v + 609878 = -3*f, 0 = 4*f + 2*v + 813184. Let q = f + 374294. What is q rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -481, -477, -473, -469, -465, -461?\n\"Answer: 4*v - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(1008).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38259 - -38260.6. What is the nearest to 25 in 5, c, -3\/2, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -10. Let m be 54 + 2\/o*-2. Suppose -k + 30 = -4*f, -5*k + 0*f = -f - m. Calculate the least common multiple of 1 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2525.562.\nAnswer: 10102.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s. Let u(x) be the first derivative of 0*x**2 + 2\/3*x**3 + 0*x + 17. What is p(u(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from fwiowi?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -8*p + 63 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:10 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 1\/8 (c) 0.4 (d) 0.6 (e) -298 (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*s - a + 1, -4*s - 5*a + 70 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w + 7. Let m(o) = -9*o - 5. Let u(i) = 7*m(i) + 5*x(i). Let s(j) be the first derivative of 33*j**2 + 4220. Determine u(s(q)).\nAnswer: 132*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoo when three letters picked without replacement from {o: 2, k: 4, t: 5, x: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198132054007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 106*i**3 + 562*i**2 - 15*i + 5. Let a(c) = -2*c**2 + 3*c - 1. Let j(y) = 5*a(y) + u(y). What is the third derivative of j(z) wrt z?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + -61. Let s = -80 - z. Which is the third biggest value? (a) -4 (b) s (c) -2\/17 (d) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28103, -56251, -84429, -112643, -140899?\nAnswer: -169203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 146. Solve -g - g + 17 = -v*u, 4*g = 4*u + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 119 = 70 + 411. Calculate the greatest common factor of r and 7080.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 39825624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -5)\/(4\/(-132)). Let x = 17 + l. Let g be 1\/(-3 + 352\/x). Is 30 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 91476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000110367 rounded to 6 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*c + 57, 3*n + 58 = -n + 2*c. Let f be -1 + -4*12\/n. Find b such that 2*b + 3*b**3 + b**4 - 8*b**4 + 13*b**3 - 11*b**f = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**13)\/s*s)\/(s*s**7*s))\/(s\/s**0)**5 assuming s is positive.\nAnswer: s**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 77 - 6 + 3*j + 26 - 217. Calculate r(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32925373 is divided by 2251.\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 927 + -822. Calculate the greatest common divisor of 861 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428077264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22935 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(567) - (1 + sqrt(567))) + -4 + 4) - (sqrt(567) - 5*(-4 + sqrt(567) + sqrt(567)) - (2 + sqrt(567) + 4 + sqrt(567))))**2.\nAnswer: -3762*sqrt(7) + 68968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7426\/1422)\/(3\/27)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02843213 * 0.01.\nAnswer: 0.0002843213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 4*f - 612 = 0, 0 = 3*p + 3*f + 471. Let l = 493 + p. Does 64 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283858?\nAnswer: 2, 71, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -14. Which is the third smallest value? (a) z (b) -0.034 (c) -1 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 1. Let c(w) = 7*w. Let s(n) = -3*c(n) - 5*d(n). Determine s(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152683623 a multiple of 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46944 by -1.\nAnswer: 46944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 28*h**3 + 36*h**2 - 28*h - 40 = 0?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532195?\nAnswer: 5, 163, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25154 is divided by 367.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152144664 and 4816?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*c**3 + 3*c + 126063 - 126063.\nAnswer: 142*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-16) + -1)*30)\/(128880\/(-384) - -342).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81279, -161713, -241305, -320055, -397963, -475029, -551253?\n\"Answer: 421*d**2 - 81697*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*j + 439*j + 441*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - -13) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10640 + 5328 + 5312 - 93*x - 6*x.\nAnswer: -99*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2157408 and 7656?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from pgtfb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102120221 + 111?\nAnswer: -2102120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42044 and 33028?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 550 - 7?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079043491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = 3*s, 5*o - 3*s - 37 = 26. Calculate the greatest common factor of 135 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(110\/40) - (-288)\/60*-1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 3*q = -3*q + 184 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let y be o(-2). Suppose -2*x = 6, 5*i = x - 22 + 5. Let q be (-50)\/(-30) + i\/6. Solve 2*k + y = -q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4956 - 34684\/7. Find d, given that -12\/7*d**2 - 2\/7*d**4 + n*d + 16\/7 - 10\/7*d**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 317491399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -1.612891 times -0.2\nAnswer: 0.3225782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-238))\/(((-1476)\/42)\/41)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*q = -151*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 202686, 202677, 202668, 202659?\n\"Answer: -9*f + 202695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooo. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5934 rounded to two dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765482 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -108413\/9 and -12045 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xuxuhuxxuhxaxx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*k + 12 - 16, -g = 5*k - 6. Which is the closest to -3? (a) -0.08 (b) g (c) -0.02 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93347 is divided by 97.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50838.\nAnswer: 2, 3, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 184035*m + 38223792.\nAnswer: -3*(m - 61552)*(m + 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 3 - -3) + (-28 - -32)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 2. Let m = -0.6 - -1.9. Let y = m - 2.3. Put x, y, 1 in descending order.\nAnswer: 1, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -641792*v**3 - 6*v**2 - 2528*v wrt v?\nAnswer: -3850752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**6 + z**3 + 0*z**5 + 9*z + 0*z**4 + 0 + 0*z**2 - 3\/14*z**7. Find the second derivative of q(p) wrt p.\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261604860 is divided by 87201612?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from agzaffaagmfgama?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 29933 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1341?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 73.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21984735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 662 - -6613401?\nAnswer: 6614263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 109.892*-0.5\nAnswer: -54.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/t**4)*t))**(-15)*(t**(-4))**30)**10 assuming t is positive.\nAnswer: t**(-750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4698 by -1.\nAnswer: -4698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10002 and 3270?\nAnswer: 5451090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53519626.\nAnswer: 2, 173, 154681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - q**2 - 9*q**2)*(q**3 - 3*q**3 - 2*q**3).\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 212373211?\nAnswer: 212373220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*d, -3*d = -2*f + 2*d + 25. Is -1\/18 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*s + 8, -13 = -2*q - 5. Let i be 1\/(-2) + (-3)\/s. Let r be 0\/(2 + (i - 8\/2)). Sort r, -1, 3 in ascending order.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -421 + 5?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*t + 12 - 15, -4*h + 5 = -5*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -10325\nAnswer: -4\/10325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 1. Let f be a(-1). Suppose -2*k + 2*p = -3*p - 22, 4*k + 4*p = -f. Let v = -3.98 - -4. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -324*y**3 + 94320*y**2 + 466928*y + 573056 = 0. What is y?\nAnswer: -22\/9, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/120 - 3*i**5\/40 + i**4\/4 + 5*i**3\/3 - 12*i**2. Let d(w) be the first derivative of f(w). Suppose d(h) = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31891 from 2.187.\nAnswer: -31888.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2699, -10733, -24115, -42839, -66899, -96289, -131003?\nAnswer: -171035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((104\/(-20))\/1)\/((-72)\/(-360)). Let o(s) = 55*s**2 + 13*s. Let m(u) = -14*u**2 - 3*u. Give d*m(w) - 6*o(w).\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h + 1. Let m be 13\/(39\/(-30))*h. Which is greater: m or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -7. Let w = 0 + 1. Let m(o) = 33*o**2 + 2*o - 1. What is the remainder when m(w) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) - (-6)\/48*-6. Let n = 5.44 + -5.24. What is the closest to n in 1\/6, m, -10, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*t, 4*k = 4*t + 10 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 30*g - 19. What is r(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091575675 to seven decimal places.\nAnswer: 0.0000916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -518 + 938. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = -4*w, 715 = -4*w - q + 710 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7419459*o**2 + 2*o - 2*o + 3544626*o**2.\nAnswer: 10964085*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117040 and 5776.\nAnswer: 2223760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)\/(-35 - (-7163)\/203).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 3 = -a - 5*s, -4*a - 4*s = -20. Let c be (a*-3)\/3 - 4. Let q(r) = -r - 7. Let l be q(-7). Put 3, l, c in increasing order.\nAnswer: c, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Let y be f\/(4 - 10\/2). Suppose w + 4*w = -4*k + 40, y = -4*k - w + 24. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 19063\nAnswer: 59\/19063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361202817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = 33. What are the prime factors of ((-222)\/8)\/(u\/24)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297075.876079 - 297076. Let r = v + 0.124. What is r rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1450 - 1374. What is the remainder when 430 is divided by x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/643 + 104813\/1286. Let c = -62 + 142. Let h = c - u. What is the common denominator of h and 81\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 42*j. Let x(a) = 39*a - 18*a - 25*a. What is x(k(z))?\nAnswer: -168*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l - 27. Let q = 59 + -51. Let x(h) = 3*h - 19. Let w be x(q). Calculate the lowest common multiple of 4 and j(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 15 = 5*r, 0 = -50*l + 51*l - r + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 38914.\nAnswer: -38914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -184, -203, -240, -301, -392?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 10*b - 135. Let s = b - -75. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 + 142*y**2 - 571*y + 572 = 0. What is y?\nAnswer: -572, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-4)\/(-4))\/(-2). Suppose -h + 2 = -0. Suppose 0 = -3*s + 3, h*y - 5*s = 7. Solve -5*q + 3*z + y = a, -4 = 2*q - 3*z - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide (132285\/12 - -1)*(7 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 divided by 45026.\nAnswer: 209\/45026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11653, -11654, -11655, -11656, -11657?\n\"Answer: -r - 11652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 8. What is the units digit of m\/2 + 9 + 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -614 + 613.86624. Let i = -0.141 - m. Let c = 0.006 + i. Round c to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-664)\/3. Let u = -529 + 438. Let z = u - h. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -106. Which is the nearest to 1? (a) v (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -1\/4, -69, -1\/5, -3, -631?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 3 (b) 4 (c) 83108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000457007611 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - ((1 - 21) + -27 + 40).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1272*i + 283*i - 69975 = 0 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 172 - 942. Calculate the highest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 - (3 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8*r = -6682. Suppose -2*f = -3*u + 793, -6*u - r = -8*u + 5*f. Suppose 0 = 11*k - 12*k + u. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 - 27*r + 126. What is the lowest common multiple of g(6) and 243?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2693*p**5 - 3060*p wrt p.\nAnswer: -53860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(7*d**5 + 18*d**5 - 3*d**5) + 8*d + 1 + 2*d**5 - 8*d.\nAnswer: 68*d**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61271?\nAnswer: 7, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.946+-97295.9758\nAnswer: -97295.0298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 - -1347901?\nAnswer: 1347848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1580 divided by -316\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 327 - 2510\nAnswer: -2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 9*d**2 - 40*d - 4. Let f be x(-12). What is the third smallest value in -2, -0.12, 4, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 26*m**2 - 23*m + 32. Let v be l(-28). Let k = 1694 + v. What are the prime factors of k?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 364, 726, 1090, 1456, 1824, 2194?\n\"Answer: d**2 + 359*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 7, k: 1}. What is prob of picking 3 j?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n - 18. Let r be w(3). Let h be 40\/24 + (-2)\/3. Suppose -5*y = 2*m - 26, 0*m + h = -2*y + 3*m. Solve y*i - i - r = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0\/(18\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/13 (b) 1\/10 (c) 18 (d) 0 (e) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2442, 4877, 7308, 9735?\nAnswer: 12158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003093126 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.05 - 0.05. Let t be (2\/(-8))\/(4\/(-8)). What is the closest to a in t, 3, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497697228?\nAnswer: 2, 3, 7, 1974989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5\/6)*p*p*p\/(p**5*p)*p\/(p\/(p**31*p*p))*p**14*p)**(-2\/33) assuming p is positive.\nAnswer: p**(-271\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67798, 135574, 203302, 270982, 338614, 406198, 473734?\n\"Answer: -24*l**2 + 67848*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4 - -3) + (-12 - (-1 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/5 - 144*j\/5 + 248 = 0.\nAnswer: 10, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l**(2\/11)\/l)*l))\/l*l)\/(l*l**(3\/5)))\/((l\/(l*l*l**(2\/9)*l))\/l**0) assuming l is positive.\nAnswer: l**(-1087\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.24988 millennia in months?\nAnswer: 98998.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1881 - 518. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 636600 divided by 159150\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 72 - 6*j + 69 + 13*j. Let p(z) = -2*z + 1. Determine 2*f(g) + 7*p(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10*g = 0. Suppose g*z = -2*z + 90. Let j = z + -22. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, -158.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5.3. Let n = -14 - -11. Which is the nearest to d? (a) n (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.9621 and 0.361.\nAnswer: 11.3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -55*s**2 - 24*s - 154. What is the derivative of x(y) wrt y?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/33))\/h**(-12))\/(h**(-8\/3)*h*h\/(h*h**(10\/7))) assuming h is positive.\nAnswer: h**(3704\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, n: 2, z: 6, r: 1, o: 1, y: 2}. What is prob of picking 1 z and 1 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 - 15*a**2 + 10*a**2 + 22*a**2 + 6*a**2 + 1 + 3*a**2.\nAnswer: 39*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/((-9)\/(-48)). Suppose -2*f + 23 = -5*n, j*f - 11 = -n + 2. Solve 2*h + 9*i - 5 = 4*i, 29 = -f*h + 3*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1583, 1605, 1627, 1649?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -151 + 149 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 897 divide 290753580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -586.\nAnswer: 175.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.4. Suppose -d - 4*d = -10. Let c = 5 - d. Sort -3, o, c.\nAnswer: -3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6440)\/345*(-5)\/(5\/846). Let q = 30932 - b. Round q to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3 + 3 + 2*s. Let o(w) be the third derivative of 1\/24*w**4 - w**2 + 0*w + 0 + 0*w**3. Calculate o(g(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 198, 298, 398, 498?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 2:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354*i*v**3 - 6*i*v**2 - 76*i + 3*v**3 + 2 wrt v?\nAnswer: 2124*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + -f94f?\nAnswer: -f979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1112070269558?\nAnswer: 1112070269553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - -26*(-459)\/663.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 10:05 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00098773885 rounded to 6 dps?\nAnswer: -0.000988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222027 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853052.\nAnswer: 2, 149, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368713758.\nAnswer: 2, 3, 7, 8778899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 108, 275, 534, 915, 1448, 2163?\n\"Answer: 5*s**3 + s**2 + 67*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c - 1014*c**2 + 330*c**2 + 336*c**2 + 16 + 349*c**2 in the form h + o*c + d*c**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 2 - v**2 + 4*v - 5*v)*(93 + 51 - 9).\nAnswer: 270*v**2 - 135*v - 270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.9157l in millilitres?\nAnswer: 965915.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 35 = -3*x, l + 2 = 2*x - 3. Suppose u - r - 98 = 0, -l*u - r + 488 = -4*r. Calculate the remainder when u is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1685, 6744, 15183, 27008, 42225, 60840?\n\"Answer: i**3 + 1684*i**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 683 or 682?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1736 - 664 = -48*n. What is the greatest common divisor of n and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-72)\/24)\/(1\/10). What is the remainder when (384\/i)\/(2\/(-5)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 48441 + 48441.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2. Let n(r) = 2*r**2 + 18*r + 12. Let p be n(-8). Let u = p + 6. Let q(l) = 287*l - 3*l**u - 287*l. What is q(j(s))?\nAnswer: -75*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -39, -48, -61?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 11*p**2 - 8*p**3 + 10*p**3)*(2*p**2 + 0 + 0).\nAnswer: 4*p**5 + 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 1, 0.19 in increasing order.\nAnswer: 0.19, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1253 - 703726.783\nAnswer: -703726.6577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (10\/(-6) - -2). Suppose -5*l + 5 = 0, 4*l - 3*l + 2 = 3*v. What is the nearest to v in q, -1\/6, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.03 - 0.933. Let b = 0.125 + -0.062. Let j = s + b. What is the closest to 1\/3 in -1, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/2)*d)\/d*d**(-15)*d**5\/((d\/(d**(-2)*d))\/d))**(-15) assuming d is positive.\nAnswer: d**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 6 + 10, 0 = 2*r - 2*f - 14. What is the second derivative of 2*g**3 - 2*g + 4*g**3 + 3*g**3 + g**r wrt g?\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086624 take away 16?\nAnswer: -16.086624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 1. Let n(r) = -42*r - 35. Let h(b) = 2*b + 16. Let j be h(-21). Let p = j - 9. Give p*w(y) - n(y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -161*u - 9444. Let y(f) = -88*f - 4721. Give 6*g(d) - 11*y(d).\nAnswer: 2*d - 4733","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 1.2. Which is the second smallest value? (a) q (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 - 2 + 19*n**3 + 3 + 6*n - 18*n**3. Let t be o(-6). Let u be t\/(1 + 2 - 2). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -22, 6, 2 in decreasing order.\nAnswer: 6, 5, 2, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:53 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**3 + 18450*x**2 + 36840*x - 147520 = 0.\nAnswer: -3688, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 9*n + 8. Let k be a(-8). Suppose -q + k*q = -2*q. Solve -4*i + q*m - 18 = 3*m, -i - 9 = 3*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37151834\/43 + -286551174238\/331659. Let i = l + -1\/2571. Calculate the common denominator of i and -29\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -4 (c) 46 (d) 4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4211*m - 7611 = -4082*m for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7374, 13179, 18982, 24783, 30582, 36379?\nAnswer: 42174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and -109\/475090.\nAnswer: 950180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43721518 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Suppose 5 = 5*s - 2*j, 20 = 3*j + 5. Suppose s*z = 2*z - q. Is z smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let j be r(-4). Suppose -14*c + 144 = -197 + 187. Solve -j*k - 14 = t, -c = -3*k + 2*t + 2*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/(((-1)\/(-4))\/(-1)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -130 or -2984\/23?\nAnswer: -2984\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.621 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 4*y**2 + 2*y + 2. Let o(g) = 7*g**2 + 2*g + 2 - g**3 - 4*g**2 - 1 - 4. Let u be o(3). Give k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.5 from -15.57.\nAnswer: -11.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) + (sqrt(504) + sqrt(504)*2 - sqrt(504))*1)\/sqrt(9))\/(sqrt(8) + sqrt(128)\/sqrt(4) - sqrt(392)*-2))**2.\nAnswer: 63\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-2 - 0). Let l(k) = 1 + 2*k**2 + 3*k - 5*k + 0*k. Let z be l(d). Solve -2 = 5*t + z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a microsecond in nanoseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 232979 + 3.16871.\nAnswer: 232982.16871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 10\/30 + 2\/(18\/2157).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008072 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -198 + 18?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 83, -5, -6, -15, -300, 3 in decreasing order.\nAnswer: 83, 4, 3, -5, -6, -15, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*y + o, 11 = y - 2*o - 2. Let j(q) = q**3 - 9*q**2 + 8*q + 8. Let m be j(y). What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/210 + 5*d**4\/12 + 4*d**2 + 17. Factor u(y).\nAnswer: 2*y*(y + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449458?\nAnswer: 2, 224729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4998792, 9997536, 14996280, 19995024, 24993768?\nAnswer: 29992512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -11 - -8 - -4) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2199370 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 20 = -7*l. Let k(n) = -7*n**3 - 4*n**2 + 10*n + 1. Let x(m) = -4*m**3 - 2*m**2 + 5*m. Let s(q) = l*x(q) - 3*k(q). What is s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9301, 9302, 9303, 9304, 9305?\n\"Answer: o + 9300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/8)*h\/(h\/h**(-2\/19)*h))**(-7\/2)*(h\/(h**(-2)*h)*h**(-3\/5))**11 assuming h is positive.\nAnswer: h**(23303\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 2*r - 3. Let x(s) be the first derivative of -s**4\/4 + s**3\/3 + s**2\/2 - 747. What is j(h) - 2*x(h)?\nAnswer: 2*h**3 + h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 63. Suppose -2*t + 3*r - 39 = 0, -2*r + r - q = 2*t. Let y = 51 + t. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d\/(d*d*(d**(-4\/11)\/d*d)\/d))))*d**15)**45 assuming d is positive.\nAnswer: d**(8235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 19*w**5 + 39*w**2 - 751*w - 6. Let v(u) = 37*u**5 + 78*u**2 - 1501*u - 11. Let s(a) = -11*h(a) + 6*v(a). Find the second derivative of s(z) wrt z.\nAnswer: 260*z**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:10 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10) + 1 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/75 (b) 1\/3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5895 and -66?\nAnswer: 65.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 52*j**2 - 3*j - 3. Is 13 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 832298 or 10819886\/13?\nAnswer: 832298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.0529286\nAnswer: -0.00529286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11+-57528.165\nAnswer: -57517.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/168 + 22*j**7\/105 + 14*j**6\/5 + 72*j**5\/5 - 36*j**4 - 864*j**3 + 75*j**2. Factor k(f).\nAnswer: 2*(f - 2)*(f + 6)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5280 + -5275. Let a(g) be the first derivative of 5\/3*g**3 - z*g**2 + 5*g - 4. Factor a(w).\nAnswer: 5*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/702 and -7\/45531.\nAnswer: 3551418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119.743 micrograms in nanograms?\nAnswer: 3119743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/2*(-1)\/(-2). Let f(r) = -r + 2*r - 7 + 21 + 0 - 1. Is 10 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -37856822.\nAnswer: -5\/37856822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867169026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 5:40 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:47 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**4 + 4*g**3 + 33*g**2 - 92. Let k(w) = -w**4 - 2*w**3 + w**2 - 1. Let y(i) = d(i) + 2*k(i). What is the first derivative of y(o) wrt o?\nAnswer: 8*o**3 + 70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21817*c + 21757*c + 3022380. Round c to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2606, 2608, 2612, 2618?\nAnswer: 2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q - 2. Suppose -4*p + 2*v + 56 = 0, p + v + 4 = 21. Let l be 40\/p - (-1)\/3. Solve 0 = 4*k + 4*d, 4*k - 2*d - q = -l*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32927 is divided by 1566?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewwwwweweeewwewewew. Give prob of sequence ewew.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/390 - 4\/65. Let g(v) be the second derivative of 0 - 1\/9*v**3 - m*v**2 - 2*v - 1\/36*v**4. Suppose g(j) = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6234 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1, 0.068, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273360 divided by -6.\nAnswer: 45560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:47 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -3*h**5\/20 + 17*h**4\/6 - 11*h**3\/6 - 5*h**2 - 10*h. What is the tens digit of z(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4404?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (1 + -13 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*k - 1225, 3*k - 50 = w - 462. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2. Suppose -4*n + 224 = 2*y - 5*y, -2*y = 2*n - 126. Let d = n + -51. Let h(b) = 27 - 15 + d*b**2 - 12. Determine f(h(p)).\nAnswer: -320*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/120 - u**5\/15 - u**3\/3 + u**2. Let j be c(4). What is the units digit of (-27)\/j*2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17185678 bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088232.8 rounded to the nearest 10000?\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 22 + 5 - 74.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + 1401. Let z = d + -966. 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 next in -20287, -40576, -60865, -81154?\nAnswer: -101443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39014*k**2*s**4 - k**2*s**2 - 233*k**2*s + 2352*s wrt s?\nAnswer: 468168*k**2*s**2 - 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20389 + 407887\/20. Let j = 147508 + -1178736426\/7991. Let s = 775135\/31964 - j. Find the common denominator of v and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.16 - -24. Is a equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003977594 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**4 - 117*s**3 + 514*s**2 - 373*s. Let b(w) = 3*w**4 - 117*w**3 + 513*w**2 - 375*w. Let d(k) = 7*b(k) - 6*i(k). Let d(y) = 0. What is y?\nAnswer: -43, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 8 + 12 - 10 + 3*l. Let f(m) = 2*m**2 - 4*m + 7. Give 6*d(b) + 5*f(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - 2) + 0 + -1 + (169 + -42 - 120)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*((sqrt(76)*-1 + sqrt(76) + sqrt(76))*-4 + -2)*1 + 0)**2.\nAnswer: 1200*sqrt(19) + 30625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16119 + 2844 = 66*a - 17*a. Solve -3*n - 378 + a = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 18086191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 59*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1353, 2711, 4069, 5427, 6785?\n\"Answer: 1358*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1528249 millilitres to litres.\nAnswer: 0.0001528249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3384 = 10*b - 22*b. Calculate the remainder when b is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676341915 bigger than 676341913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/3 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 591062981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)\/a*a\/(a*a*(a\/a**(13\/3))\/a*a)*a*a**(-1)*((a*a*a*a**(-2\/7))\/a)\/a assuming a is positive.\nAnswer: a**(-209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 243587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605844 greater than or equal to 1605837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 10*a**2 - 52*a - 38. Let s be i(14). Let w(g) = 24*g - 1. Let c be w(1). Differentiate 29*r**4 + s*r**4 - c*r**4 - 2 with respect to r.\nAnswer: 96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -3111, -0.2, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 4326*s + 3 - 3 - 4326*s. Let z(g) = -94*g**2. Calculate z(o(b)).\nAnswer: -376*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(700)*2)**2.\nAnswer: -80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:02 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*g, 2*g + 11 = -0*y - 3*y. Solve -3*f - f = 2*s + 16, g*f = 4*s + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 666606*j - 8665915. Give b(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 + 2*q + 2. Let v be (3 - 2) + -4 + 11. Let z be (64\/(-8))\/v + -8. Let b(i) = -45*i**2 - 9*i - 9. Determine z*s(t) - 2*b(t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ezc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 + 4*t**2 + 2*t**2)*(3 - 1 + 2) - 3*t**2 + t**2 - t**2 + (-2 + 2 - t)*(0*t + t + 0*t) to i + r*t**2 + u*t and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 35, 135, 327, 641, 1107, 1755, 2615?\nAnswer: 3717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 80538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k - 43. Give r(22).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (-19 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 5, -5 in descending order.\nAnswer: 5, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-222)\/((-9)\/3))\/(-7). Let a = 11 + f. Determine i so that 27\/7*i**2 - 2\/7 + a*i = 0.\nAnswer: -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*t**2 - 49*t**2 - 20*t**2 + (-t - t + 4*t)*(2 - 2*t - 2) - 2*t**2 + 2*t**2 + 2*t**2.\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*v + 11*v + 8*v)*(10*v - 6 + 6)*(2 - 2 + v) to the form g*v + c*v**2 + a*v**3 + d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48978 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15764*j**2*p**3 + j**2*p + 2*j*p + 506*p**2 + 2 wrt p?\nAnswer: 94584*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -209 - 81. Suppose 0 = -53*u + g*u. Solve -4*w + u*w - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i - 1. Let v(f) = 117*f + 8. Calculate 2*j(o) + v(o).\nAnswer: 97*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3849*j - 10094659 + 10094659)*(7*j**2 - 3*j**2 - 2*j**2).\nAnswer: -7698*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 557*d**2*q - 2*d**2 + 2*d*q**3 + d*q**2 - 4601*d wrt q.\nAnswer: 557*d**2 + 6*d*q**2 + 2*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/104)\/((-78)\/208)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/110 and 49\/12850.\nAnswer: 141350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6672 divided by 6.\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7108466 - 11?\nAnswer: -7108477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*g + 39, 6*i - g - 62 = 2*i. Let m(c) = 29 - 13 + 4*c**2 - 3*c**3 + i*c - 15. Is m(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2046 divided by -1\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + m**3 - 2*m**3)*(3*m - 4*m - m) + 0*m**4 - 4*m**4 + 2*m**4 + (4*m**4 - m**4 - m**4)*(1 - 4 + 1) + m**4 - 2*m**4 + 0*m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11 (b) 1\/4 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**4 - 71383*s**3 + 6769*s**2 - 3*s + 1 wrt s?\nAnswer: 336*s - 428298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -914, 43, -5, 11?\nAnswer: -914","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozozoozoozoqgzzgx. Give prob of sequence ggqz.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s + 51*s**3 + 3*s**3.\nAnswer: 54*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466.45352 minutes in weeks?\nAnswer: 0.1454815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + x**2 + 43 + 22*x - 16 + 42. Let y be o(-8). Which is the fourth smallest value? (a) y (b) 1\/7 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 + 64*c + 880\/7.\nAnswer: 4*(c + 2)*(c + 110)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808007.\nAnswer: 139, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3088379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 2*x**2 - 3*x + 6*x**3 + 4*x + 0*x. Let r(o) = 2*o**3 + 23*o**3 + 9*o**2 - 52*o + 61*o. Determine -2*r(k) + 9*v(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from ewioeiwiwoweweggi?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 25*p**2 - 13*p**2 + 14 - 26*p - 11*p**2. Let t be j(26). Solve 4*c - t = -3*w + 11, 0 = -5*w + 5*c - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 117324644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 1\/3*c**3 - 5\/2*c**2 + 0*c + 10. Give o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 130\/(-12)*42\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1035586, 1035572, 1035544, 1035496, 1035422?\n\"Answer: -o**3 - o**2 - 4*o + 1035592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 - 4*u. Let h be k(3). Let j(l) = l**2 + 19*l - 6. Let z be j(-19). Let g be -6*z\/(-162) + (-14)\/18. Is h at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.012 + -0.988. Let o = 5 - 5. Which is the closest to o? (a) -2 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26398 + 43808. List the prime factors of s.\nAnswer: 2, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 7630?\nAnswer: -7630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, p: 10}. Give prob of sequence jppj.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277\/201 + -3\/67. Let z be 5\/3 - (2 - 1). Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Let d(m) be the first derivative of -m**4\/4 - 7*m**2\/2 - 5*m - 9. Let x(k) = -3*k - 2. Determine z*d(v) + 5*x(v).\nAnswer: 2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*c - 2*b, 3*b - 32 - 9 = -4*c. Suppose u - c = -u. Suppose -u*g = -8*g + 32. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9947.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 21*k - 36. Let a be (14 + k\/(-3))*2. Suppose -3*f + 82 = a. What is the smallest common multiple of f and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -9*w**4\/4 + 3*w**2 - w + 20657. Let b = -4 + -2. Let i(a) = -19*a**3 + 13*a - 2. Determine b*i(r) + 13*c(r).\nAnswer: -3*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 45495*u = 45491*u - 67, -47 = -v + 4*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 229\/21)\/(18\/189)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1533321 and 0.446?\nAnswer: 1533321.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1366034?\nAnswer: 1366042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 2*p + 24. Let h(q) = -q**2 - q. Let n(c) = -2*h(c) + z(c). Is n(0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -696d (base 16) to base 8.\nAnswer: -64555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 of a day in minutes?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -346*r + 331*r - 225 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-669)\/(-15610)*(-40)\/(-6))\/(2\/98)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, -21, -80, -141, -204, -269, -336?\n\"Answer: -p**2 - 54*p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8190*z - 466659. What is s(57)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1468537 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1163 - 930 = -13*f. Calculate the greatest common divisor of f and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/84 and -89\/210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -37. Suppose -5*z - 2*r = -365, x*z - r + 52 = 282. Calculate the highest common divisor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + 27908*a**2 + 27852*a**2 - 55843*a**2 in the form k*a + s + r*a**2 and give r.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:16 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 2*a + (0 + 1 + 0)*(0*a + 0*a - 2*a))*((-4*a + a + a)*(-1 - 1 + 1) - 2*a + a - 6*a).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56 - 2 - (-30184)\/(-686). Let g = 29 - 11. Let i = g - 13. Solve y*u = i*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 328*l + 27. Suppose 23*x - 25 - 21 = 0. Is k(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (802710\/(-99) - (-8)\/44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*24\/270?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1444343 (base 5) to base 16\nAnswer: 79f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39710138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 11*y = 4*y + 165. Sort 3, -5, y, 4.\nAnswer: -5, 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 28. Let z be d(-6). Solve -5*b + 54 = -5*f + 14, 4*b + z*f + 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s - 78. Let u be c(-11). Solve -8*x = -x + u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.04 (c) -5 (d) 28\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 3*o - 5. Give s(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/30)\/(15\/50). Solve -n - 9 = -5*b, 4 = -t*b + 6*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irr when three letters picked without replacement from riiiirqriir?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 209290, 209014, 208764, 208552, 208390?\n\"Answer: 2*n**3 + n**2 - 293*n + 209580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -11, -1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 4*s**2 + 2*s - 3. Let k(z) be the second derivative of z**5\/4 - 11*z**4\/12 + 5*z**3\/6 - 9*z**2\/2 - 2*z + 4. Determine 4*k(y) - 11*r(y).\nAnswer: -2*y**3 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896 and 153104.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*a*w**3 - 13*a*w**2 + 353*a*w + 17*w**3 + 34*w**2 + 1603*w wrt w?\nAnswer: 528*a*w - 26*a + 102*w + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -533784.6 rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7 (base 14) in base 16?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + o - 16 = 0, -110*s + 72 = -129*s + o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 11*x - 704. Let a = x - 14. Let r = 88 - a. What is the greatest common divisor of 56 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f**(4\/9)\/f*f)))**(-11))**(-1\/12))**37 assuming f is positive.\nAnswer: f**(-2035\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 14*z + 4610. Let h(l) = 5*l + 1536. What is 17*h(m) - 6*o(m)?\nAnswer: m - 1548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240763 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.48 - 0.29. Let d = -0.5 + c. Let r = d + 0.3099915. What is r rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - j**2 - 18*j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492373 is divided by 25914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 3. Calculate g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107933620 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3073140 and 91\/30292380?\nAnswer: 212046660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1751170991 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 1 + 11 - 12 + j**4 - 64*j**3 + j**4 - 66*j**2 = 0.\nAnswer: -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r - 17*r - 14*r)*(4*r - r**4 - 4*r) + 16*r - 9*r**5 - 46*r + 25*r.\nAnswer: 2*r**5 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8) + 19 + 13 + 17.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 2. Let o(k) = -210*k + 33. Let u(a) = 33*n(a) - 2*o(a). Let d(x) = 2*x. Determine d(u(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-8)\/5) + (-12)\/20. Suppose -2*v + r + 3 = a, 3*v - 29*r + 24*r - 22 = 0. Sort 0, 5, 4, v.\nAnswer: v, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2160) + sqrt(60))\/(sqrt(144)\/sqrt(192)).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -6487*q**4\/24 - 6905*q**3\/6 - 1782*q**2. What is the derivative of n(o) wrt o?\nAnswer: -6487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/1981969?\nAnswer: 6\/1981969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481\/476 + -25\/28. Let v = 0.9 + -0.4. What is the nearest to -1\/3 in 0.4, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-12)\/10)\/(270\/(-4500))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64996, -129990, -194984?\n\"Answer: -64994*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31188 is divided by 2255?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/15 + 14*o**2\/15 - 2*o + 6\/5.\nAnswer: -2*(o - 3)**2*(o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x - 3. Let p = x + 5. Find the first derivative of -p + 7 - 3*r**3 + 1 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*v - 6. Let x(c) = -c - 3. Let a(g) = 9*g + 25. Let t(h) = 6*a(h) + 51*x(h). Determine t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Let r(y) = y + 8. Let j(n) be the first derivative of n - 16. Give m*j(s) - r(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 1:55 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220494, 220490, 220484, 220476, 220466, 220454, 220440?\nAnswer: 220424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192)*-3 + sqrt(3) + sqrt(3) - (sqrt(3) + -1 + -3)**2 - -5*(-5 + (2 + sqrt(3)*3)**2)).\nAnswer: -222 - 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/20*(-5 + 1). Suppose -2*u - 6 = 0, 0 = -2*v + r*u + 11 + 10. Suppose 55 = 2*h + v. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 16*k**3\/3 - k**2\/2 - 7*k + 57. Find the second derivative of w(x) wrt x.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307057 is divided by 204.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 5*r**3\/6 + 2*r. Let f be d(1). Suppose -f*j - 164 = -j. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5686335 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 20. Let l be c(-18). Let h be (10\/8)\/(20\/240). Solve -l*k - 5*v = -h, -k + 0 = 2*v - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44922 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, m: 5}. What is prob of sequence mg?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v + 10. Determine o(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245 + 252. Suppose -4*r - 18 = -l*r. Solve 0*w + 18 = r*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 87\/5 of a hour?\nAnswer: 62640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 223645505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 8*z - 8*z - 7*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/109 - 236\/981. Put z, -0.3, 3\/46, -5 in descending order.\nAnswer: 3\/46, z, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-310)\/154 - -2)\/((-19822)\/485639)\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, 10 in increasing order.\nAnswer: -3, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Let s = 4 - b. Solve 4*c - 4 + s = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2\/2 + 4*s + 1. Let z be t(-3). Suppose -4*d - 15 = -z*d. What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 + 25916140*h**3 + h**2 - 25161132 wrt h?\nAnswer: 48*h + 155496840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*p + 4, 3*y - p - 7 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2181326*q**2 - 2. Let c(s) = -s. Calculate c(v(i)).\nAnswer: 2181326*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337804601.\nAnswer: 11, 212527691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 32*y**2 + 63*y + 110. What is g(-30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -17*j**4\/12 - 373*j**3\/6 + 2*j**2 - 66*j. Let l be x(-11). Let z = 5 - 3. Put 0, z, -5, l in increasing order.\nAnswer: -5, 0, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = -0*s - 5*s, -x + 3*s + 3 = 0. Let k be (-1)\/5 + x\/15. Suppose -4*n = -6*n + 6. Solve d - 2*o + 5 = k, 2*o - 30 = -n*d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + (-1161)\/(-18)*-78. Let u = -3089 - h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -0.5.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5514 + -347363\/63. Let l = 21053\/2926 - -4\/209. What is the common denominator of o and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -59, -115, -191, -287?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*t - 1161 - 260, -4*t + 5*y = -1144. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 6*w**4 - 3*w**4 + (-w - 4 + 4)*(2*w**3 - 2 + 2) + 0*w**4 - w**4 + 3*w**4 + (w**4 + 0*w**4 - 3*w**4)*(-2 - 1 - 1).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*p + 2 = 0, 0 = -3*k - 3*p + 3 + 3. Suppose m + n + 3*n - 18 = 0, 5*m - 3*n = -k. Suppose -m*d = -12 - 18. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4 + 12. Let g be (2\/6)\/(l\/4). Let i be ((-1)\/(-4))\/(25\/(-40)). Which is the closest to i? (a) 2\/3 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471904 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 2) - (-9 + -40 + 25)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/(y*y*((y\/y**(-3))\/y)\/y))\/((y**(-2)\/y)\/y*y*y*y**(1\/5))*((y*y\/(y*y**(2\/17)\/y)*y)\/y**(3\/2))**(1\/4) assuming y is positive.\nAnswer: y**(-1091\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 7*b**2 + 72 - 73 - 5*b**2)*(1 - 1 - b**3).\nAnswer: -2*b**5 + 2*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 4. Let l(z) = -z**3 + 6*z**2 - 2*z + 6. Let x be l(6). Let f be 2\/x*6\/4. What is the third smallest value in f, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4\/6 - 475*g**3\/2 + 17040*g**2 - 50410*g\/3.\nAnswer: 5*g*(g - 142)**2*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 1.62. Let a = -0.01 - -0.23. Let k = n + a. Which is smaller: 0.3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -626 + 1383. List the prime factors of c.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x + 4. Let r(n) = -3*n + 2. Let k(h) = 2*b(h) - 5*r(h). Let g be (-1)\/(-2*(-4)\/(-48)). Suppose -g = -5*w + 4*w. Determine k(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4 - 46. Let t = 802 - 792. Calculate the highest common factor of j and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120035, -480039, -1080047, -1920065, -3000099?\nAnswer: -4320155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 14*d**4\/3 - 14534*d**3\/3 + 10336*d**2 + 74680*d\/3 - 91168\/3 = 0.\nAnswer: -2, 1, 22\/7, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, 613, 1947, 3813, 6211?\nAnswer: 9141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -68 * 75278\nAnswer: -5118904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -36*d**4 - 5*d**3 + 8*d - 5. Let f(w) = -90*w**4 - 12*w**3 + 20*w - 12. Let k(h) = -5*f(h) + 12*l(h). What is the second derivative of k(b) wrt b?\nAnswer: 216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v - 3*d, -v = 4*d + 5 + 10. Which is smaller: 89 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o = -2*o - 15*o - 504 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27360*n**3 - 16452?\nAnswer: 82080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3178036\/7 + -453180. Suppose -4\/7*x**2 - u + 304\/7*x = 0. What is x?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256694.\nAnswer: 2, 128347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let p(n) = -n**3 - 6*n**2 + 8*n + 3. Give 6*b(g) + p(g).\nAnswer: -g**3 + 8*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6054*j + 139332 = -2142*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 0, x + 30 = 6*x + 3*o. Suppose -5*y - 42 = -12*y. What is the lowest common multiple of x and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 183, 210, 237, 264?\n\"Answer: 27*d + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983987338 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1704569 is divided by 154958?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1, -1\/3, -13, -47.9, -105 in ascending order.\nAnswer: -105, -47.9, -13, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13316 + -1365?\nAnswer: -15014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1182 in 0.2, -0.1, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g + 4. Let v be c(2). Let d be 2\/6*(-4)\/v*9. Is (1\/d)\/(3\/9) + 8 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = -5. Let t(o) = -5 + 2 - 1 + 5 + 3*o. Let x(r) = -7*r - 3. Let d(h) = -h**3 - 8*h**2 + 8*h + 1. Let n be d(-9). Give n*t(f) + u*x(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-40)\/15)*(-8)\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.5797*5.27.\nAnswer: -66.295019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oms when three letters picked without replacement from mmmscmcmcmcom.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -31. Suppose 5*t = -o*p + 30, 4*p + t + 60 - 156 = 0. Let v be 32\/6 + 2\/(-6). What is the greatest common divisor of v and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.76 - 6.96. Let s = -4.9 - f. Let o = -0.57 - -0.07. What is the second biggest value in o, 2\/17, s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 19*v**2\/2 + v + 2. Let j be g(-1). Let t be 124\/72 + 4\/j. Put 4, t, -5 in decreasing order.\nAnswer: 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-11))\/(f\/(f*f*f**(-11))) assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 66215898 divided by 22071966\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 232726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 1. Calculate the remainder when 14 is divided by f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 288, 1156, 2618, 4686, 7372?\n\"Answer: 2*b**3 + 285*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 25*m**2 + 37*m - 1458. Calculate the lowest common multiple of c(24) and 556.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/23 + 24546*t**2\/23 + 98152*t\/23 = 0. Calculate t.\nAnswer: -12269, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 6*j - 11. Determine o(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 41322274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q**0))\/q)\/q)**(-10))**(-14\/11)\/((q**4*q**(-5\/4))\/(((q**(-5)*q*q)\/q)\/q*q*q\/((q**(-4)\/q)\/q)*q)) assuming q is positive.\nAnswer: q**(-1065\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 85*h - 58. Let y be n(-29). Solve -r + 4*q - 2 = 0, 4*q = 2*r - y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -39*p**2 - 8. Let j(l) = 118*l**2 + 23. Let k(f) = 6*j(f) + 17*t(f). Let z(b) = b**2. Let u(m) = -6*m**2. Let s(d) = -u(d) - 4*z(d). What is k(s(n))?\nAnswer: 180*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19316, 76229, 170754, 302891, 472640, 680001?\n\"Answer: 18806*l**2 + 495*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 149*b + 191. What is the units digit of l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 - 203. Let y(f) be the second derivative of f**4\/12 - f**3\/2 - 3*f**2\/2 + 4*f. What is y(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1648 = -5*x + 17. Suppose -x = -g + 76. Let w = g - 72. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) - -1*sqrt(110)))\/((-1*sqrt(30))\/sqrt(3)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 257849 divided by -388\nAnswer: -257849\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66836 and 8.\nAnswer: -66828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5560603112 and 11.\nAnswer: 12.5560603112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 484*v**5 + 10058136*v**4 + 474655872*v**3 + 5431113088*v**2 - 4140128256*v + 764338176 = 0.\nAnswer: -20734, -24, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92490, -184979, -277468, -369957, -462446?\nAnswer: -554935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtqfqf. Give prob of sequence tqqf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 328126 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 382640.2 kilograms?\nAnswer: 382640200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8581.84cm?\nAnswer: 85.8184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x, 0 = 2*k + x + 2 - 4. Suppose k = -2*b - 5*h + 2*h + 790, 2*h + 770 = 2*b. What are the prime factors of b?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4059061 to the nearest 10000.\nAnswer: 4060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-346)\/(-6))\/(3\/(-198)*-11) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14570 is divided by 4455?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16313970 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41083530 rounded to the nearest one hundred thousand?\nAnswer: 41100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2894*f - 7682 = 13965 + 39127 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:06 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1006005 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/1 - -2)\/1. Let j = -99 - -100. What is the nearest to u in -0.1, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 9*p + 4*p - 34 - 3*p. Let u be k(6). Solve -w + u = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + k - 2*k)*(-2 + 4 - 3)*(0*k + 2*k + 0*k) + 2*k**2 + 6*k**2 + 4*k**2.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 - -190. Find the third derivative of -9 + 2 - 8*k**3 - r*k**2 - k**6 - 10*k**3 wrt k.\nAnswer: -120*k**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Find the third derivative of 6*w**3 - 6 + 1 + j - 5*w**2 wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1049, 5, -31 in decreasing order.\nAnswer: 1049, 5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 115923040.8 to the nearest 100000.\nAnswer: 115900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*0.722\nAnswer: -0.33212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 25*c - 30. Determine n(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, -2, 7, 0, -6, -4, 60.\nAnswer: -342, -6, -4, -2, 0, 7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3172 and ((-918)\/(-119))\/((-52)\/(-35)) - 8.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*x - 34, f - 176 = 2*x - 155. Suppose -4*a = 4*d - 3*a - 49, 2*d = -3*a + 37. What is the greatest common factor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426*p - 421*p = 3190. Is p a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 1, j: 1, y: 1, s: 1}. Give prob of sequence xja.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2 - 4*n + 0*n**2 + n**2 + 3. What is the tens digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/(14\/21). Let d(o) be the third derivative of 2*o**g - 1\/8*o**4 + 0 - 1\/2*o**3 + 0*o. Differentiate d(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 11*l - 3. Let u be (-87)\/(-12) + (-9)\/(-12). Is p(u) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23548 + -23551. Let l = -0.15 - -0.2. Let t = -0.35 + l. Sort y, t, -18 in descending order.\nAnswer: t, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 187*l. Let m(n) = -55. Let b(u) = -2*u - 165. Let a(s) = 2*b(s) - 6*m(s). What is a(j(p))?\nAnswer: -748*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 + 3*b - 3. Let z(y) = -15*y**2 - 11*y + 11. Let a(o) = 22*f(o) + 6*z(o). Let u(r) = 26*r**2. Give u(a(w)).\nAnswer: 104*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 10*w - 204 = -8*w + 29*w for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsmlmhssbdsb. What is prob of picking 1 m and 1 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 1:35 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, r: 1, v: 3, t: 1, w: 1, d: 3}. Give prob of picking 2 d and 1 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + 4. Suppose a + 4*r = -30, r = 3*a + 2*a + 45. Put b, a, 5 in descending order.\nAnswer: 5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 3*f**6\/10 + f**4\/12 + 13*f**2\/2 - 25*f. Differentiate m(h) wrt h.\nAnswer: 36*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, d: 2}. What is prob of picking 3 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59452048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:14 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 15549 = 10467. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 19 = 208. Let m be ((-3)\/b)\/(-1)*(0 - 3). Put -0.5, 1, m in descending order.\nAnswer: 1, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*t - 20, -t = -4*z + 2*t + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f - 6. Let q(i) = -i - 1. Let w(d) = b(d) - 6*q(d). Let j(t) be the second derivative of t**4\/6 - 22*t. Calculate w(j(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 1. Let l(i) = 5*i**2 - 11*i - 19. Let o(c) = l(c) + 6*n(c). Suppose -2*d - v = 16, 71*d - 67*d + 5*v + 26 = 0. Give o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 21. Give p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23886804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n + 732 = 53*n. Let a = 146 - n. What is the least common multiple of a and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*8\/(-28))\/((-9)\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047851218 to four dps.\nAnswer: 0.0479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1604)\/(-3) - (-2)\/6. Suppose w = 3*w + 3*u + 203, 5*w + 2*u + k = 0. Let x = 163 + w. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5360982.\nAnswer: 2, 3, 11, 43, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 6 - (-38 - -34).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*o + 5*o + 100, 3*f + 5*o = 60. Let a(q) be the first derivative of q**3\/3 + q**2 + 17*q + 11. Let c be a(0). Does f = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2364753*v - 1475*v**2 + 2364748*v - 4729501*v.\nAnswer: -1475*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -14. Calculate the remainder when 16*(-2 - 0 - -3) is divided by (36\/15)\/(w\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2104*f**3*r - 58*f**3 + 696389*r wrt f?\nAnswer: 6312*f**2*r - 174*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*t + t. Let d = -69598 - -69638. Calculate the remainder when d is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/20*(-31920)\/(-4788).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 - a**3 + 11*a**2\/5 - 4*a\/5.\nAnswer: -a*(a - 1)*(a + 4)*(2*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -646.43213 - -645.67. Round y to two dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l - 56*l - 47*l + 262*l - 34*l - 50*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -1544 + 312. Suppose 0 = 6*i + 20 - l. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((270\/12)\/(78\/(-65)))\/(1\/(-4)). Suppose 0 = -o + 5 + 45. What is the greatest common factor of o and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669*o**2 - 8464*o + 8464*o - 632*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 216. Let v be (-24)\/s - 35954971\/9. Let d be v\/5 - ((-2)\/5 + 1). Round d to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 9*f**2 - 2*f + 20. Let o be l(9). Solve -o*w = -2*s + 3*s - 5, 4*w = -s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 99*a**2. Let u(q) = -15*q**2 + 11*q - 33. Let x(c) = 3*c**2 - 2*c + 6. Let o(s) = -2*u(s) - 11*x(s). Give o(l(r)).\nAnswer: -29403*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-1\/9)*i)\/i*i*i*i*i**4*i)**(-23) assuming i is positive.\nAnswer: i**(-1840\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*y + 4*n, 2*y - 8 + 3 = -n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58444605?\nAnswer: 3, 5, 432923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10046 - -30140\/3. Is v at most 431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + h + 9 - 1 + h**2 to l*h + q + b*h**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhyjjhhhhjdhshss. What is prob of sequence hysj?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/(-56))\/(202\/2828).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.8152123 seconds in weeks?\nAnswer: 0.00012866271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 423*d**5\/2 + 289*d**4\/6 - d**3\/3 - 2*d**2 + 28*d - 103. Find the third derivative of r(u) wrt u.\nAnswer: 25380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163945203.\nAnswer: 617, 1886459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**3 - 92*w**5 + 2*w + w**3 + 6157*w**2 - 2*w**6 - 6086*w**2 wrt w.\nAnswer: -240*w**3 - 5520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18703160 to the nearest integer?\nAnswer: 4325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v + 3750 = -306 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 + -2360?\nAnswer: -2257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -0.6, 1\/7, -2\/39, -2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 37*r**2 - 124*r**2 - 73*r**2. Let s(i) = -2*i. Calculate m(s(p)).\nAnswer: -640*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101775992 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(156)*-1 + sqrt(156)))\/(sqrt(768)*-1*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*c - c + 153, -40 = -u + 2*c. Let v(m) = 6*m**2 + 43*m + 197. What is the remainder when v(-5) is divided by u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 763*w - 42*w**5 + 2*w**2 - 763*w + (-2 - 1 + 2)*(w**5 - 3*w**5 + w**5) + 4*w**4 - 4*w**4 + 3*w**5.\nAnswer: -38*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-416)\/(-160)*10\/(-4))\/(198\/24 + -8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c, -5*c = -2*h - 0 + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**3\/3 - 6249*j. Let o(t) = -2 - 7 - 4 + 8*t. Determine o(s(c)).\nAnswer: 16*c - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 1\/24985 in increasing order.\nAnswer: -1, 1\/24985, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/7 + 4\/(-14). Let f be 4\/6 + (-33)\/9. Suppose 4*p - 2*p + 10 = 0. Sort p, t, f in descending order.\nAnswer: t, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.020261 (b) -200 (c) -2\/11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*a + 8 = 0, 0 = -0*n - n - 4*a + 26. Is n <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 + -114 + (2 - -1) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 2*r - 13*r**2 + 7*r**2 in the form n + y*r + p*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825669274 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(6) - sqrt(54)))\/((sqrt(84)\/sqrt(4))\/sqrt(7)).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 60 - 52 + 114 - 21*y + 32*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/154584 and -151\/2052.\nAnswer: 463752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/11 - 4*r**2\/11 + 16*r\/11 = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from cczwwcwcwwwqzw.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -29*t**2 + 259*t + 22. What is h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -56 (b) 2\/51 (c) -2\/11 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00149984 rounded to five decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1690 or 1673?\nAnswer: 1690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 - 2) + 3. Sort 5, -2, h.\nAnswer: -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -522 + 589. Let c(i) = i**2 - 6*i**2 + 0*i - 67 + i + i**3 + t. Give c(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32746711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z. Let t(k) = -162*k. Let q(d) = 63*p(d) - 5*t(d). Let c be q(-5). List the prime factors of 2\/(-4) + c\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10073 and 3290993.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1 + 2 - 1189*(-9)\/12*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-87)\/30 - (-6)\/15. Let m = 9.1 - 5.1. Which is the nearest to -0.06? (a) z (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277684 and 148016?\nAnswer: 934128976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-5)*(16 - 21). Let y(z) = -s*z + 21 - 21 + 3*z. Let t(k) = -9*k**2. Give t(y(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 3, s: 9, h: 3}. What is prob of picking 1 s and 2 b?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 + 275 = -323*x - 652 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*d - 37*f + 36*f, -10 = -7*f - 3*f for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 - 4*l - 2. Let j be n(-4). Let t be (-2)\/((-1)\/4*j). Let g be t\/(-3)*6\/(-14). Which is the biggest value? (a) g (b) -2\/7 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a6 (base 13) to base 2\nAnswer: -111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4913?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3522 - -337963\/96. What is the common denominator of f and 47\/21?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-46 - -47 - (22 - -3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6526859 is divided by 295.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + a = -1 - 6, h - 2*a = 12. Let m be h + 341\/30 + -3. Let p = m - 32\/3. Find the common denominator of 99\/4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppfpppffppfp. What is prob of sequence fpp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 77 = 5*f - 0*f, -3*s = -2*f + 41. Let a(v) = -38 - 31*v + 20*v + f*v. Let j be a(9). Solve -3*u - g = 6, -u = -0*u + 2*g + j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2 - 111*t + 116290 = 0.\nAnswer: -401, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmam when four letters picked without replacement from {o: 2, e: 4, a: 3, m: 6, t: 1}.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 614432 and 91996?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:11 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 26*n - 148308 = 0. List the prime factors of n.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-7 - (9 + -17))) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**5\/20 - v**4\/3 - v**3\/6 - v**2\/2 - 13*v + 5. Let z(x) be the first derivative of h(x). Give z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/9 (b) 4 (c) 0 (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7324 is divided by 54?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 844, 3318, 7442, 13216?\nAnswer: 20640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = o + 24, 364*i + 22 = 363*i - 3*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7625468763 by 3.\nAnswer: -2541822921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5281*n + 2513*n + 2611*n. Let p(s) = 74*s**2. Calculate p(w(g)).\nAnswer: 1824026*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 26*o - 24355 = -5*s, o + 8116 = 4*s. Round o to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/49, -0.4, -1\/5 in ascending order.\nAnswer: -0.4, -1\/5, 6\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(363) - (3*(sqrt(363) + 1))**2) + (sqrt(363) + 0)*6).\nAnswer: -6552 - 242*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 - -493. Calculate the highest common divisor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*w = w - 2903, -x - w + 973 = 0. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:51 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 21. Let h(r) = 16*r**3 + 3*r - 2. Let l be h(1). Let p be f(l). Calculate the highest common factor of 91 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) - 5217\/13113.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 112*w**3 - 20518*w**2 + 635576*w - 615171.\nAnswer: (w - 53)**2*(w - 1)*(w + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644362.\nAnswer: 2, 23, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 116719 * 37\nAnswer: 4318603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**2 - 2*q + 17. Let a(h) = -3*h**2 - h. Let j(k) = 3*a(k) - o(k). Let y be j(5). Let x = -2 + 22. Sort y, -4, x, -2.\nAnswer: -4, -2, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196253, -196840, -197427, -198014, -198601?\nAnswer: -199188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = v - 16*p + 15*p, 0 = v + 2*p + 19. Put -2, 6, v, -1, 5 in increasing order.\nAnswer: v, -2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/70 - l**4\/42 + 4*l. Determine z, given that r(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b - 81. Let h be m(0). Let p = 85 + h. Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101986 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - r - 1. Let w(y) = 7*y**3 - 14*y**2 + 4*y + 236. Let o(j) = -4*g(j) - w(j). Find the first derivative of o(a) wrt a.\nAnswer: -21*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 439? (a) 5 (b) -1\/4 (c) 13 (d) 0.1 (e) 0.154 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/4 of a tonne?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 216 + 383)*(-5*s + 4*s - s) + 3*s + 2 - 2.\nAnswer: -447*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64 + 2bc?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 9*m + m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -3 - (-366)\/(-45)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 43*k + 6*k**3 + 3*k**4 - k**3 - 3*k**3 - 42*k to p*k**2 + w*k**4 + o*k**3 + h + v*k and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/10 + 3)*-2. Let w(u) = u**2 + 19*u + 64. Let y be w(i). Solve 18 = g - 4*j, j - 2 = 5*g + y*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002789098 to 7 dps.\nAnswer: -0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 21*l + 5. What is c(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.045 - 57.255. Let c = -58 - m. Put -2, 10, c in decreasing order.\nAnswer: 10, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, 3, 5 in descending order.\nAnswer: 316, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3861*h. Let n(q) = -122*q**2. What is n(g(u))?\nAnswer: -1818693162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8584, -0.5, 0, -831, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 - 191 = -9*q + 5*a, 48*q - 45*q - 4*a = 84 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, -7*u + 9*u - 308 = -2*d. What is the highest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -695.4 - -695. Let l = 7.04 - 7. What is the second smallest value in l, -0.9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519 divided by -4686?\nAnswer: 1519\/4686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-51)*858\/(-4). Let h(l) = l + 14. Let v be h(-11). Suppose 0 = 8*j + v*j - q. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by -1767552.\nAnswer: 33\/589184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (69\/(-13) + 5)\/((-18)\/78). Which is the nearest to 1? (a) -3 (b) -1.3 (c) q (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.343*1005.5.\nAnswer: -1350.3865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 26*p**2 + 26*p - 28. What is j(-25)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973207 is divided by 161.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -16 + (78 - 77) - (-1 - 69).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*(q**(-1\/4)\/q)\/q*q)*q)**(-5))**(-3)*((q\/(q\/q**(2\/15)))\/q)\/q*q\/((q\/(q*q*q**3*q*q))\/q)*(q**(1\/2))**(2\/49) assuming q is positive.\nAnswer: q**(29117\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 60 (b) -1 (c) 1\/5 (d) -0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2*v + 3573603*p*v**2 - 10186221*v**2 with respect to p.\nAnswer: -2*p*v + 3573603*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708855 is divided by 16482?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 7*v**2 + 8*v - 9. Suppose 5*w = 79 + 1226. Let l(p) = -265*p - 1 + w*p + 3. Let z be l(-1). Determine h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)*o*o**(-6\/5)*o*o*o**29*o*o*o*o*o\/o**(-2) assuming o is positive.\nAnswer: o**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 168900 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/(26\/10). Let r = -8.9 + 10. Let w = r + -1. Which is the nearest to w? (a) -1\/12 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 540344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from jjq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from paa?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7178 - 7108. Suppose g + 5*y - 57 = -0*y, -4*g + 153 = -5*y. Calculate the smallest common multiple of g and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 880\/96) + (-2668)\/(-1656)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3368 - 26941\/8. Let m + 9\/8*r**2 - 3\/2*r = 0. Calculate r.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173a2 (base 12) in base 14?\nAnswer: -c24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457715 divided by 91543?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 + -190.9. Are 13 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60.12 + 60.52. Let g = 0.3 - 0.4. Which is the fourth smallest value? (a) g (b) -3 (c) i (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.4003ml in litres?\nAnswer: 0.8694003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 23*a**3 - 2*a + 1. Let j(x) = -x**3 + 6*x**2 + x - 5. Let g be j(6). What is the lowest common multiple of -3*(-3)\/9*16 and c(g)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 170241 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/q**(5\/6)))*q)\/q**(-3\/8))\/(q**(-1\/4))**(-2\/19) assuming q is positive.\nAnswer: q**(235\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 - 7*u - 7. Let k be y(-2). Are k and 66 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 17*r. Let f(q) = 2 - 4 + 2 + q**2. Calculate h(f(l)).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156452006*n**3 + 13135543*n**2?\nAnswer: 938712036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.156 * -0.066.\nAnswer: -0.010296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9549595.\nAnswer: 5, 11, 173629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:13 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-667)*(-294354)\/(-948).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n - 49. Let k be s(-10). What is the greatest common divisor of 248 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 9*w - 11. Let o be i(-8). Let d be (4 + o)*(-2 - -2). Solve 2*x + 3 + 7 = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132642 - -4?\nAnswer: 132646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 150*-54600\nAnswer: -8190000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/((-1)\/2). Let w = -16.8229 - -11.8229. Let b = 1 - 0.9. What is the closest to m in w, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86213 is divided by 271?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*s**2 - 353*s**2 - 196*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53133383*p**4 - p**3 - 29569416*p**2?\nAnswer: 1275201192*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j. Let h(q) = 13*q - 139. Let w be h(11). What is g(w)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/56540 and -91\/22.\nAnswer: 56540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 + 14 + -3 - (-2 + (-61 - 0))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.2 + -10. Let j = y + -0.2. Does 0.2 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4148334.14 - 4148331.24000077. Let x = r + -2.9. What is x rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369055421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -0.0894503.\nAnswer: 1.0734036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -84 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2407 and 4233?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182607*i**2 - 177837*i**2 - 4796*i + 1021*i wrt i?\nAnswer: 9540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n + 16*n + 5*n. Let u = 0 - -2. Let s(b) = -260*b**2 + 534*b**2 - 267*b**u. Determine s(h(a)).\nAnswer: 847*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -207\/2*h - 87\/2*h**2 - h**3 - 41.\nAnswer: -(h + 2)*(h + 41)*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.555 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 1 + 1)*(17777 - 369 - 299) in the form w + i*m and give i.\nAnswer: -17109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**3 - 3*t**2 + 4*t - 3. Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*r + 21. Let a(o) = -6*o + 2*o + r*o. Let l(m) = -5*m - 6. Let h(b) = 20*b + 25. Let u(n) = 6*h(n) + 25*l(n). Calculate u(a(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -15, 3774, 4 in descending order.\nAnswer: 3774, 7, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/30 and -2\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 7*i - 1)*(-1 - 3 + 2)*(36 + 9 - 14) to the form j + c*i and give j.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:01 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 372, 407, 466, 555, 680?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2540*i - 2*o + 6 = 2538*i, -10*i - 3*o - 86 = o for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-12 + 19 - 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 211621 and 0.1?\nAnswer: 21162.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 116784866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-105)\/12*-12. Let n = k - 126. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*7\/28?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noneiqv. What is prob of picking 2 q and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -141375096160?\nAnswer: -141375096159.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - a?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**2 - 103*r + 30. Let x be s(10). Put x, 5, -8, -3 in increasing order.\nAnswer: -8, -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/21 - w**5\/12 + w**4\/24 - 3*w**2 - 18*w. What is the third derivative of s(j) wrt j?\nAnswer: -960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 62. Let h be a(-8). What is the second derivative of -6*o + 10*o - h*o + o**3 + 15*o**3 + 4 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 23. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + 158\/6. What are the prime factors of (j\/6)\/(6\/20)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2736) - (sqrt(2736)*1 + sqrt(2736)))**2 - ((-2*sqrt(931))**2 + (-2*sqrt(228))\/sqrt(12)).\nAnswer: -987 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)\/m**(-23)*(m*m**18)\/m**(-1\/3) assuming m is positive.\nAnswer: m**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -344*d**3 + 75*d**2 - 4*d - 7. Is q(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 11. Let s = -0.3 + 0.2. Let y = -0.08 + 0.08. What is the nearest to y in s, n, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -19*c**3\/6 + c**2 + 10*c + 2. Suppose -22 = 4*b - 10. Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 - 1551*h - 9414 = 0. What is h?\nAnswer: -6, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 16) to base 9\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5294935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -18*b**2 - 12 + 34 + 1541*b - 793*b - 748*b. Let l(t) = 1. What is -2*d(v) + 44*l(v)?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/10 and 37\/13436.\nAnswer: 67180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 10*v - 16. Let g be k(-11). Let u(i) = -i**3 - 5*i**2 - 2*i - 1. What is u(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7070*o + 2275. Let m(d) = -93*d - 30. What is 455*m(i) + 6*q(i)?\nAnswer: 105*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 4 + -1 - 4. Solve -2*u = -2*a + t, -3*u + 15 = 5*a + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 293208353907 and -5.\nAnswer: 293208353902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/168 - -349\/2184. Which is the nearest to -1\/2? (a) 0.1 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p = -12*p + 330 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 36 = -0. Let r(u) = -u**2 - 11*u + 6. Let n(b) = -b**2 - 11*b + 7. Let x(w) = 6*n(w) - 5*r(w). Let q be x(i). Solve q*d = -3*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125964284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + k + 2*k = 2*k - 0 - 0, 4*k = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*240\/32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 17987013*p + 35974032*p - p**2 - 17987019*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 - 117*t - 62. Let l(f) = 17*f**2 - 175*f - 93. Let s(x) = -8*g(x) + 5*l(x). Is 12 a factor of s(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3792629.\nAnswer: 3792629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858584063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221214 + -23?\nAnswer: -221242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36018*s**3*t**3 - 26*s**3 + 2654*s*t**2 - 2*t**5 wrt t.\nAnswer: -216108*s**3 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/(-9) - 5)\/((-1)\/12). Let x = 9 - q. What is the remainder when (-2)\/(-8) + 35\/4 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 13 + 173 = 0. Suppose a - 125 = -3*c, -a = 5*c - 137 + 14. What is the highest common factor of a and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 76*s\/3 + 48.\nAnswer: 2*(s + 2)*(s + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-14)*65\/((-1625)\/30).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((14\/3)\/(-2) - -2)*-3. Which is the closest to 0.1? (a) -1.9 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043*-1.33047\nAnswer: -0.05721021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or -4085\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12820, 14443, 16064, 17683, 19300, 20915, 22528?\n\"Answer: -p**2 + 1626*p + 11195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -1147, -2680, -4837, -7624, -11047, -15112, -19825?\nAnswer: -25192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 5. Let a(y) = 3*y + 4. Let j(b) = 6*a(b) + 5*r(b). Let d(m) = m + 1. Let u be d(4). Suppose -u*x + x - 4 = 0. What is j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/3 + 3289*w**4\/3 + 2194*w**3 = 0. What is w?\nAnswer: -2, 0, 3291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.06 (b) 2.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from pppgprggmpsp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:00 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 8*p - 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182210354 is divided by 4857.\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -514 + 12154. Let j be (-5)\/10*(727705\/(-22) - (-15)\/(-6)). Let k = z - j. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*b = 771*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/64902218 and 143\/18.\nAnswer: 584119962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13936 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 - 7*j + 6. Let q be f(7). Let m be (q\/3)\/2*-6. Let b = m + 10. Solve 3 = b*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/280 and 191\/14760?\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 5*a + 2. Let n be 1*-2*(-6 - -2). Let t be 36\/n - (-2)\/4. What are the prime factors of d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -37.3, -5, 5, -93\/10?\nAnswer: -93\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:49 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -5*i - 55, 2*i + 35 = z. Let s be i\/(-10)*2\/3. Is 6\/2 - s*-27 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69275899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5603.261ml to litres.\nAnswer: 5.603261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -493663 (base 12) to base 14\nAnswer: -22cd87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*s*w*x**3 + s*w*x**2 - 3*s*w*x - 6*s + 16*w wrt x?\nAnswer: -45*s*w*x**2 + 2*s*w*x - 3*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 762511*m + 5 - 6 - 762384*m - 16 as p + k*m and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000006761 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 10*n**2 + 44*n - 30. What is the remainder when l(4) is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 105662906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**36)**1*(m*m\/(m**32\/m))**(-1\/5) assuming m is positive.\nAnswer: m**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0469048 less than -397.7?\nAnswer: -397.6530952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*d + 12 - 3, 5*h - 18 = 3*d. Let b(i) = 5*i**2 + 2 + 0 - 4*i - i - i**3. Let a be b(3). Sort h, a, -3 in increasing order.\nAnswer: -3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422378 - 139398 + 355204 = 12*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -162*k - 335 + 5519 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 116, 261, 464?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6171627 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(147) + sqrt(147) + 5)**2 + 0)*5.\nAnswer: 1540*sqrt(3) + 3545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - n - 1 - 2*n + (0 + 0 + 2)*(2*n + 3*n - 4*n))*(2 - 6 + 3) + 12*n + 4 - 4 in the form l + h*n and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -409 + 4097\/10. Calculate the common denominator of (-65081)\/(-16610) - (-16)\/(-10) and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 98, -3, 4, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + m + m)*(-6 + 4 + 3 - 4 + 5 - 2 + (2 - 5 + 1)*(2 - 6 + 3) + 38 - 10 - 7) in the form y + w*m and give w.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.075?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 8 = 0. Let r be 0 - (-1)\/f*4. What is the lowest common multiple of 0 + r - (-24)\/6 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3777534331.\nAnswer: 3777534331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -16. Let z be (-32)\/(-56)*n\/(-8). Let u = z - -61\/21. Is 1\/2 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14321 + 63?\nAnswer: -14236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 16*l + 62 as a + p*l and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12935.29 minus 85788?\nAnswer: -98723.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:17 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let y(t) = -2 - 7 + 4*t - 3*t. Let i be y(9). Solve i = -g*x - 5*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 796 - -710. Suppose t = l + 22506. Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 - 153.3. Let i = 10 - o. Let w = i + 0.76. What is the third biggest value in 0.5, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37.7 + 41. Let l = -3.7 + b. What is the nearest to 0.2 in -1\/3, l, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251\/156 - -3\/52. Which is the biggest value? (a) 1 (b) o (c) -18 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u - 195 = 0. Let d = 32 + u. What is the units digit of -1 - 7\/(d\/52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1315990)\/(-280770) + 3\/(-147)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52723168 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -50034442 (base 6) to base 2\nAnswer: -101010110111010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/(-60)*1\/(-2). Let n = 2044 + -2044. What is the closest to n in 2, i, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 67*p**2 + 394*p - 17113. What is m(65)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 2*q + 3, 5*q = 15. Suppose 0 = v*b - 5*x - 20, -b = -4*b - 4*x - 16. Which is bigger: -6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -736 (base 14) to base 8\nAnswer: -2614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from dhxalxmdaaaxhllhad?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96980 and 208?\nAnswer: 387920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -200, -449, -798, -1247, -1796?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1347203\/10260544 - 1\/39616. What is the common denominator of y and 60\/259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 7. Let j(z) = -12*z - 5. Let t(b) = -7*b - 3. Let i(s) = -3*j(s) + 5*t(s). Let q(a) = 2*a. Let l(y) = -3*i(y) + 2*q(y). What is w(l(m))?\nAnswer: -m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -44*f - 7. What is the tens digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + 19*b**2 + 3*b + 79. Give m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 80 + 215 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*p - 2 + 2)*(-3 + 6 - 4) - 2*p + 0*p + p + 5*p - 4*p + p)*(-3 + 3 + 6) + 3*p + p - 5*p in the form q*p + s and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*h - h. Let t = h + 29. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 18. Let v be n(-7). Suppose 3 = 2*u - 3. Suppose -u*a - 34 = 5*x, -4*x - 3*a - 2*a - 35 = 0. What is the closest to 0 in x, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*c**2*q**2 + c**2*q - 22*c**2 + 2843569*c*q**3 - 596716*q wrt q.\nAnswer: -18*c**2 + 17061414*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(sqrt(187) + sqrt(187)*1))\/((sqrt(99)*1)\/sqrt(9)*5).\nAnswer: 48*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 48*i + 61. Calculate s(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*182.84.\nAnswer: 9.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - -1 - (2 - 4) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**(-1))\/f*f)\/f*f)**38\/(f*f**(-2\/7)\/f*f)**40 assuming f is positive.\nAnswer: f**(864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62044629 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {z: 6, t: 5, i: 5, q: 1}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 2*x + 2*x + 5*x - 3*x - 4*x + 4*x - 2*x - 4*x + (1 - 2 - 1)*(-2*x + 2*x + 2*x) + 0*x + 0*x - 4*x + x - 1 + 1 to u + k*x and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-6) - (-5 - -8 - 120\/(-6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1362 - -1364. Suppose 15 = 3*u, -25 = -3*x - 3*u + u. Solve -5*n - 33 = -p*v - 11, n = v - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*v = -2*m - 2*m - 336*v + 686, -35 = 2*v + 43 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 251?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2*m - 0 - 1, 4*g + 4 = -4*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36251 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 44. Let u = 5934 + -5626. What is the greatest common divisor of w and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76475 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose -7 = n*a - 55. Calculate the remainder when 22 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3307 - 1634 - 1673 + 5*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 4*r**2 + 2*r + 2. Let p be u(4). Let q(v) = -v**2 + 12*v + 10. Is q(p) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*q + 37, 5*a + 6*q = 2*q. Is (59\/(-3))\/((a\/(-762))\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*16652\nAnswer: -1498.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + s + 4. Let z = 8 - 12. Let n be g(z). Let c be 63\/(-138) + 2\/4. Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/4 equal to -75579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from ueizgeiizhzzgezzehiz.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100688 divided by 1736?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-2 - 3) - -36. Suppose 4*j = -5*c + j + d, -3*c = 3*j - 27. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i, 5*p = -i + 103 + 4850. What are the prime factors of p?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 19*c + 12. Let r be q(16). Calculate the highest common divisor of 24 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402430130.\nAnswer: 2, 5, 139, 467, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p - 7. Let v(l) = 9*l + 8. Let n(i) = 3*m(i) + 2*v(i). Let y(t) = -2*t - 4. Calculate -4*n(u) + 5*y(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = -5*f, k - 5 = -2*f + 2. Let p be ((2 - 1) + 2)*f. Find the third derivative of -20*r**2 + p*r**2 - 11*r**2 - 38*r**3 wrt r.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3406\/(-65) - (-3)\/(-5). Let v = -59 - t. Let m = v - -12. What is the highest common divisor of 8 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 4*x + 4*x)*((38*x + 44*x - 20*x)*(2 + 14 + 4) + (0 + 3 - 4)*(x + 2*x - 7*x)) - 2*x**2 + 3*x - 3*x.\nAnswer: 2486*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 7 - (10 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (-29 - 139) - -58?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/60 - 7*w**4\/24 + 5*w**3\/6 + 2*w**2. Let x be a(-7). Suppose 63 + 67 = x*u. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-35)\/(-140))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 548400 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108800, -217605, -326410?\n\"Answer: -108805*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/53425861 and -83\/115018.\nAnswer: 106851722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((((-3)\/((-9)\/(-2)))\/((-13872)\/(-1224)))\/1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23156084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2030.2687 + -2030. What is z rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t\/(t*t*t**16))*t)*t*t*t))**0\/(t\/(t**(-2\/27)\/t))**(-1\/16) assuming t is positive.\nAnswer: t**(7\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 5*c**2 - 10*c - 32*c - 7*c + 10*c**2 to f*c + b*c**2 + i and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -0.1253479275785+-0.2\nAnswer: -0.3253479275785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3 (b) 3 (c) -2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0 - -6)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 + 11*l**2\/2 + 10*l - 5. Let x be y(-8). What is the least common multiple of 8 and 21\/x*66\/(-9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/154)\/(3\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3771 = 1457. Let h = f - 1727. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 195*g**2*j + 2*g**2*s + 13957*g**2 - 239*g*j*s - 364*g*s - 20*j*s wrt j?\nAnswer: 195*g**2 - 239*g*s - 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 45*w**3 - 168*w**2.\nAnswer: -3*w**2*(w - 8)*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 31. Calculate the remainder when 6\/10 - 2364\/(-10) is divided by d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 + 2*o - 6. Determine p(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8\/123 (b) -0.5 (c) -0.2 (d) -0.05 (e) 4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111111011101000 (base 2) to base 8.\nAnswer: 1177350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*((-56)\/21)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10312777.\nAnswer: 29, 199, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653420 is divided by 1833.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:49 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-27)\/48) + 5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:15 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28480862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -392\/5 - -78. Let p = 2572.43 + -2592. Let b = p - -19.5. Put -2\/13, s, b, -2 in descending order.\nAnswer: b, -2\/13, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s**(2\/7)*s*s)))*((s*s**(-1))\/s)\/s)**(-39) assuming s is positive.\nAnswer: s**(897\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 575*h**2 - 20126*h + 35. Give d(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227318677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 44, -8, -92, -214, -380, -596?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/24)\/(36\/64)*(-9)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61075426 - 6?\nAnswer: 61075420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = k + k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4050*c**2*x**3 - 2*c**2*x + 3*c**2 + c*x**3 + 3*c*x**2 - 109*c wrt x?\nAnswer: -24300*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/192)\/(((-8)\/(-4))\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f - 5. Suppose 368 = 8*d + 408. Let o = 0.07 + -0.37. Which is the nearest to f? (a) o (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(-5*(sqrt(275) + sqrt(275) + 1)**2 + (sqrt(275) - (1 + sqrt(275)))**2 + -5).\nAnswer: -66108 - 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -827\/2 - -403. Suppose 2*x + 10 = -4*j, 5*x - 3*j = x + 2. What is the third smallest value in i, -4\/5, -2\/3, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 4*i**2 + 5 + 3*i**2 + 4*i**2 as u*i**2 + l*i + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-96)\/(-9) + (-4)\/6. Suppose -672 - 348 = -g*c. Does 34 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0\/f)**(-2\/47))**(-2\/27)\/((f\/f**0)\/f*f*f**(1\/5)\/f*(f**1)**(-19\/2)) assuming f is positive.\nAnswer: f**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 294 + -292. Factor 3\/2*m**4 - 3\/2*m**3 + 3 + 3\/2*m - 9\/2*m**x.\nAnswer: 3*(m - 2)*(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - 1334 = -195 - 416 - 123 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092.349 rounded to 0 dps?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**3*v**5 - 5*h**3*v**2 - 198*h**3 - h**2*v**2 + 1505*h*v**6 wrt v?\nAnswer: -180*h**3*v**2 + 180600*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11187 - -16124. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {c: 5, u: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 1808615720?\nAnswer: 1808615716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {y: 2, z: 9, f: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 - 4*k**3 - 1388 + 516 + 546.\nAnswer: -4*k**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344846.\nAnswer: 2, 172423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*t - 9 - 13, 5*t = -2*y + 19. Suppose 0*k - t = -4*l - k, -2*k = l + 8. Is ((-3)\/l)\/(6\/(-2972) + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/9, 0.04, -1\/2, -146?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(1190\/(-3349)) + -37. Factor 2\/5*b**2 + 2\/5*b**4 + 0 - 8\/5*b**3 + x*b.\nAnswer: 2*b*(b - 3)*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2400)*-1*-4)\/(-2*sqrt(512)*2).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from {g: 7, q: 3, k: 2}?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose 15 = -n + 4*p + 21, -126 = -5*n - 4*p. Suppose -n = -f - s. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 1\/9, 0.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 3 (c) -0.4 (d) 1.6 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-70)\/21)\/(6\/9). Let j(z) = 2*z + 3. Let r be j(p). Let t(l) = l**2 + 10*l + 10. Give t(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b + 11. Let h(x) = 4*x - 4. Let g(s) = 8*h(s) + 3*m(s). Let t be g(-1). What is the third derivative of 2 - 2*i**2 + i**3 - t wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 6. What is the units digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1352)\/(-144) - -15) + -25)*(1 - 5)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/558 and (42\/(-16))\/(-2 + (-113)\/(-52)).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -10*h**2 - 12*h**2 + 8*h + 21*h**2 + 6. Let c be m(0). Solve 5*y - c - 29 = -4*b, 3*b + 5*y - 34 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -13 - -4) + 12 + 11 + -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 18 = -2*y - 4*r, 5*y = -4*r - 41 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4318117*n - 2401435 wrt n?\nAnswer: 4318117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017295127 to 7 decimal places.\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133165521.\nAnswer: 3, 53, 279173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.6. Let q = -269.5 + 269. What is the third biggest value in r, q, 0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/12 + 13*g**3\/6 - 3*g**2. Let k be d(9). Put 1, k, 4 in decreasing order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 25*q**7\/42 - 3*q**4\/2 + 23*q**3\/6 + q**2\/2 + 491*q + 2. Find the second derivative of c(f) wrt f.\nAnswer: 500*f**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151239012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4253577 divided by -89\nAnswer: 47793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -102. Let m = v - -45. Suppose 4*r - 4*n = 12, 5*r + n - 15 = -0. Which is the third smallest value? (a) r (b) m (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p - 40. Let c be k(7). Let l = c - -1. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 7713 = -7923. Let q be (-3)\/1*(-2)\/(-1). What is the common denominator of 13\/47 and (-249)\/o - q\/12?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/5 + -19\/15. Sort x, 0, 7.\nAnswer: 0, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2. Let w(i) = 14*i**2 + 9513*i - 9513*i. Calculate y(w(x)).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let m(k) = -53*k + 10. Give m(t(h)).\nAnswer: 53*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n + 2. Let y be p(-4). Let q = y - -11. Let f(l) = l**3 - 5*l**2 + 2*l - 7. Let r be f(5). Calculate the highest common factor of q and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*4\/6*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 3 + 598*a + 704*a - 911*a in the form f + s*a**2 + u*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 11*c**2 + 4*c + 2. Let t(m) = -2*m**3 - 19*m**2 + 4*m + 3. Let w(b) = -3*j(b) + 2*t(b). Factor w(v).\nAnswer: -v*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8794 and 2.\nAnswer: 8794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*n = -42*n - 143705. Calculate the remainder when n is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109576?\nAnswer: 2, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13531*p - 90*p**2 - 13531*p - 2*p**2 - 4*p**2 + 3*p**2 + (p + 4*p - 2*p)*(p - 5*p + 2*p).\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18573556637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmgfydmfrggyfyrrrmd. Give prob of picking 1 m, 1 y, and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*k**3 - 5 + 35*k**3 - 2*k**2 + 6 + 6 + 3*k as w*k**2 + r*k**3 + h*k + b and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 1. Let p(z) = -4*z. Calculate 5*p(x) + 3*q(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (7 + 33)) + 0 + -42?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j - 16 = 0. Let g(r) = -8*r - 4. Let c(b) = 15*b + 10. Let n(f) = 3*c(f) + 7*g(f). Is 23 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 36\/(-28) - 3. Sort 0.4, i, 4 in decreasing order.\nAnswer: 4, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 57, 2, -2 in decreasing order.\nAnswer: 57, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-42))\/(25\/120)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + i + 3. Let g be d(0). Let c be 129\/3 - (1 - g). What is the greatest common divisor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*k + 2*p - 0, 2*p - 1 = -5*k. Let j be k\/3 + 212\/(-24). Let s = j - -8. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*f + 643*f + 21308 = -626*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-17)\/o))\/(o\/((o**(5\/2)*o)\/o)))\/(o*o**(11\/5)*o*o)**(-42))**23 assuming o is positive.\nAnswer: o**(54947\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 14*c - 27. Calculate g(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s**(2\/13))\/(s\/s**26*s**(-32)) assuming s is positive.\nAnswer: s**(739\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*o + 19 = 0, 4*b - 15 - 38 = -o. Suppose -5*p + b = -6. Let z(d) = 4*d. Let l be z(1). Solve -l*u + u = -p*j + 9, 5*j = -u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 155*d**2 - 1370*d - 3600.\nAnswer: -5*(d + 5)*(d + 8)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 785 = 26*h. What is the remainder when 70 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 + -333. Sort 6, -5, s, -3\/2 in ascending order.\nAnswer: -5, -3\/2, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(18\/2))\/(1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6148 + -0.3852. Let x be -2 + 2 + -3 + 9. Suppose -c + x = 10. Sort 4, h, 5, c.\nAnswer: h, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*j**3 - 76*j**2 + 106*j - 562713 wrt j.\nAnswer: -150*j**2 - 152*j + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 30\/4*5\/((-100)\/(-112))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -8, 0.3, 5, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*u**2 + 119*u**2 - 293*u**3 + 3 in the form p*u + t*u**2 + o*u**3 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186050117?\nAnswer: 3, 7, 257, 219761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 3*g - 48. What is t(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3)*(-1)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 - 1972 = -218*r. Let w(c) = -c**3 + 8*c**2 + 4*c - 8. What is the remainder when w(8) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = 3*l - 2*i - 1084, -2*i + 1176 = 4*l. Suppose -l = 15*m - 14*m. Let v = -158 - m. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479634 to the power of 1\/2, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -14484 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -481 + 480.5. Which is the nearest to 1? (a) -2\/21 (b) -1 (c) y (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652325 by 269.\nAnswer: -2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 2*u**2 + 11*u + 8. Let f be z(-4). Let c be ((-2)\/(-4))\/(1\/2). Let h be (c + 3)\/(-2) + -2. Is h greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 111*f - 762. Does 6 divide x(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000021202201 - -1021001?\nAnswer: 1000100000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443.99999371 - 444. What is t rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886377901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/(4\/(-20)). Suppose -x = x - 4*o + 10, -2*x = -g*o + 14. Let y = 2 + x. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 - 2\/3*h + 2\/3*h**2.\nAnswer: 2*(h - 2)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958760489.\nAnswer: 3, 7, 93274309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47085220 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87803359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 6. Suppose 2 - 8 = -2*g. Let w = g - 3. What is j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (28\/6)\/(8\/252)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**17)\/x)\/(x\/(x\/x**6)*x))\/(x*x*x**(-1\/25)*x**(-12)) assuming x is positive.\nAnswer: x**(-324\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 550 = 3*n. Suppose w - 535 = -n. Suppose j + 3*p = 147, -j + 4*j + p - w = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3 - 1. Let v = 1\/138 + -283\/966. Which is the second smallest value? (a) i (b) v (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304187030 to the power of 1\/2, to the nearest integer?\nAnswer: 17441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let z be v(3). Suppose -z*f = f + 3*k + 3, 5*f + 2 = -2*k. Solve f = -4*m - 18 + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 2*q + 5. Let v be i(0). Suppose 4*w + 6 = -5*u + 17, w + 1 = 0. Suppose 2*n = 2*b + 10, -v*b = -4*b - u. Solve n = 3*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0.2 (c) 0.8 (d) 2\/27 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 4. Calculate n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 6 + 6)*(-4 + 4 - 3*p**3) to the form r*p + j*p**4 + b*p**2 + y + c*p**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210120 (base 5) to base 12.\nAnswer: -1a100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 164, 330, 496?\n\"Answer: 166*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71246 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 16*a + 4. Let t(x) = 5*x**2 - 15*x + 4. Let p(u) = -5*t(u) + 4*w(u). What is p(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -0.108 in increasing order.\nAnswer: -4, -0.108, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwrrrwrrrrr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3*(2 + -2). Suppose o*h = -3*h - 2*w + 13, 3*w + 8 = h. Suppose 10 = j + 4*j. Solve j*d - 4 = 2*r, -3*r + h*d - 5 = 3*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058595778 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t**2 - 20*t + 74. Let g be l(4). Suppose -14 = -8*y + g. Calculate the greatest common divisor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26125 by -2948.\nAnswer: -2375\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -12 (c) -2\/13 (d) 700\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*r - 15, 5*r - j - 1 = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-24))\/((-6)\/72). Let j(a) be the third derivative of -7\/12*a**4 + 0*a - 16*a**t - 1\/6*a**3 + 0. Differentiate j(p) with respect to p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:03 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336695 and 9427460?\nAnswer: 9427460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 4*l**2 - 3*l - 4. Let a be 4\/6 - (-2)\/6. Let t(s) = -s**2 + s + 1. Let z(m) = a*k(m) + 4*t(m). Find the second derivative of z(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 + 362 - 269 = 4*c. What is the remainder when 742 is divided by c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 808592801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.2*-558714.\nAnswer: -21342874.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7217 - -7220. Sort w, 1124, 1 in descending order.\nAnswer: 1124, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15836 + -475259\/30. What is the common denominator of (-45)\/36*(-366)\/45 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(637)).\nAnswer: -1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2541.985 and 2.9.\nAnswer: 7371.7565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y + 8 = 0. Suppose -4*c = -y*c. Suppose c = 5*r - 11 - 14. Solve 0 = -3*m + 4*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5381*j**5 + 21*j**4 - 2*j**3 - 1349749*j**2 wrt j?\nAnswer: -322860*j**2 + 504*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.03 (c) -31106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.04. Let w be 1 + 34*(-5)\/150. What is the third biggest value in f, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000197860134 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23825397595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 15. Suppose 460 = y*w + 2*w. Calculate the highest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let p be r(4). Suppose -p*g = -g. Suppose 9 + 8 = -2*f - 3*w, 0 = -4*f + 5*w + 21. Which is greater: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7))**35*(l**(5\/8))**(-1\/21) assuming l is positive.\nAnswer: l**(-35285\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.65 + 0.65. Let k = h + 29. Let a = -6.73 - -0.73. Sort k, a, -3 in ascending order.\nAnswer: a, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21492121867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270752, 541580, 812482, 1083458, 1354508, 1625632, 1896830?\nAnswer: 2168102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 times -5274879?\nAnswer: 263743950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21231 = 3*k + 3*x, -9210 = -k + 4*x - 2153. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:36 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 25. Let d(q) = q**3 - 2*q**3 + 0*q**3 + 1 + q + b. Let s(n) = -16*n**3 - 4*n**2 + 20*n + 20. Let a(u) = 20*d(u) - s(u). Let a(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 19*i**5\/60 - i**2. Is r(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 55330202*i\/5.\nAnswer: 2*i*(i - 27665101)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 - 6*f + 6. Let h be (-3)\/(-6) - 18\/(-4). Let z be d(h). Let g = -0.9 - -1. Is z less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 34 - 10. Let w = x - 40. Let r be (4*(-18)\/w)\/(2\/4). Calculate the greatest common divisor of r and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*m + 27, -19*m - 4*r + 4839 = 5010 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 62753 to the nearest one hundred.\nAnswer: 62800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 380239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 217. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/1221?\nAnswer: 7\/1221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 14. Let r be d(-6). Suppose -5*y = 6*h - r*h - 70, h = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s, 92 + 58 = 5*a + 3*s. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 23 = r. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:10 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/3 - 490*b**4\/3 + 1994*b**3\/3 + 490*b**2\/3 - 664*b = 0.\nAnswer: -249, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + 1 + 1*sqrt(99)*-3 + -4 + sqrt(99)*2)**2.\nAnswer: 18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 9*b**2 - 13*b - 32. Calculate x(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12 + 51\/12. Suppose k*s - 4 = 0, 5*j - s - 4 = 10. Solve -5*y = -7 - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/5 + 1399*y**3\/10 + 1403*y**2\/10 - 1399*y\/10 - 1401\/10 = 0.\nAnswer: -1, 1, 1401\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 8:12 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102, -126, -272, -600, -1170, -2042, -3276?\n\"Answer: -10*i**3 - i**2 + 49*i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, -3, 0.2 in increasing order.\nAnswer: -3, 0.2, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10776601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let o(g) = -g**3 + 4*g**2 + 5*g + 8. Let r be o(5). Let i = -4 + r. Solve 0 = -y + b*y - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*g - 21394 = 881*g + 16441 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4192 + 4194. Let u(v) = -11*v - 6. Calculate u(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5249357601.99999977 - 5249357567. Let n = 0.03 - 35.03. Let l = k + n. Round l to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2)*30 + 0 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.7. Let s = -0.9627 + -0.0373. Let r = 25 - 74\/3. Which is the closest to 2? (a) r (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071037545 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.225221 rounded to three decimal places?\nAnswer: -1.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 146.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19800 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 8*o**2 + 7. Let i(t) = -t**3 + t**2. Let p(q) = 2*i(q) + z(q). What is p(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -18 - 19 - -49\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 - 32695*h**4\/9 + 24229*h**3\/3 - 15751*h**2\/3 + 7270*h\/9 = 0 for h.\nAnswer: -3635, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7723014, 7723036, 7723060, 7723086?\nAnswer: 7723114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 plus -215?\nAnswer: -210.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/258 and 77\/423120.\nAnswer: 423120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {j: 2, l: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 7. What is the second derivative of -3*f - 2*f**2 + f**t + 5*f**2 wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 483, 1260, 2367, 3816?\nAnswer: 5619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llsssslslsls. What is prob of picking 2 l?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (-20 - -18) - 74\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753117463.\nAnswer: 7, 683, 157523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*h + 862*h + 244*h.\nAnswer: 1423*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -39*h + 234 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 16*o - 29. Give x(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99\/34 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 4*a + a - 8371887*a**2 + 8371890*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77\/4, 2\/1873, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/((-134)\/536*(-33)\/(-6)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/12)*w**(-2)*w\/(w*w\/(w\/(w\/(w\/(w*(w**(-3\/5)*w)\/w*w)))))*w**(-6\/11))**(-3\/53) assuming w is positive.\nAnswer: w**(2659\/11660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 - 2492220*a**3 - 3749*a**2 + 59*a + 7 wrt a.\nAnswer: -24*a - 14953320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/13, 598.6, 11, -0.1, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 6. Let n be v(-9). Suppose -n*l = -5*l + 76. Suppose 5*k - 2*k - i - l = 0, -5*k = -5*i - 50. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**5 - l**3 - 1. Let v(o) = -11*o**5 - 12*o**4 - 10*o**3 + 10*o**2 + 9*o - 4. Let m(p) = -30*a(p) + 5*v(p). Suppose m(w) = 0. What is w?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.57631 nanometers to meters.\nAnswer: 0.00000004257631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least -7327\/445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-2*v**2 - 6*v**2 + 2*v**2 - 4*v) + (v - 6*v + 3*v)*(-3 + 3 + 2)*(6 + 5*v - 6).\nAnswer: -14*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*r + 301*r - 302*r**3 - 77*r - 78*r - 74*r + 65*r**2 wrt r?\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t - 646*t**3 + 1282*t**3 - 60*t - 651*t**3)*(4*t**2 + 4*t**2 - 4*t**2).\nAnswer: -60*t**5 - 296*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 267\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6098 - 4308 + 3439)*(y - 1 + 1).\nAnswer: 5229*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o**(5\/2)*o) assuming o is positive.\nAnswer: o**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.03kg in tonnes?\nAnswer: 0.55503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 2. Let m(p) = p + 1. Let u(c) = -3*b(c) - 6*m(c). Suppose 0*w + 3*w = -15. Does 6 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*6\/(108\/78). Let k be ((-22)\/4)\/((-1)\/2). Suppose 26 = r*o - k*o. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37092, -73610, -110114, -146598, -183056?\n\"Answer: d**3 + d**2 - 36528*d - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3986164, 3986137, 3986088, 3986011, 3985900?\n\"Answer: -d**3 - 5*d**2 - 5*d + 3986175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 78, 203, 440, 825, 1394, 2183, 3228?\nAnswer: 4565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 3, q: 2, v: 9}. What is prob of sequence qm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070276 rounded to four dps?\nAnswer: -0.0703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*y + 192, b + 267 = -y + 57. Let w = b - -206. Put 0, -8, w, 4 in increasing order.\nAnswer: -8, w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 21*v + 1 - 1 in the form t + m*v and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1836 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 31. Suppose -m*o = 2*j - 8, 2*o = j - 17 + 4. Suppose -t + 35 = 5*a + 8, -2*t = a - j. Solve 10 = a*g - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.1. Let g = -7.2994 - -7.2994. What is the closest to g in -2\/3, 19, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.042\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + (3 - 0) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6625 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 2131*l + 330163. Determine a(-482).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27511 and 2989?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(-36))\/(3\/12). Solve h*d + 18 = -5*r, -5 + 15 = -3*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3061951, -6123740, -9185529, -12247318?\n\"Answer: -3061789*o - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14452*p - 21. Let h be o(-15). Suppose 0 = 2*w + 2*q + 21235 + h, 5*w = 4*q - 595012. Round w to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742689326.\nAnswer: 2, 3, 7, 2953, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 145\/20 + (6\/8 - 0). Suppose f*w = 31*w - 3703. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215676.24 to the nearest one hundred.\nAnswer: 215700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-2)\/(-6)). Let h = -451 + 455. Let s(j) = -c + 11 + j - h. What is s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 40.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10980 is divided by 5356.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 29 = n + 5*i, -5*i = -5*n + 35. Solve 3*b - b - n*a = 4, 0 = -b + 5*a - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 13*z + 60. Calculate the remainder when a(-15) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7143 or 6\/5?\nAnswer: -7143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*r**2*z**3 + r**2 - 2*r*z - 452*z**3 wrt r?\nAnswer: -152*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 7. Suppose -4*x + 3*c + 3 = -2, 2*c = 2. Let g be l(x). Calculate the common denominator of g\/(-18) - 10\/40 and -57\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/((((y\/y**13)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 32410161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 0.08\nAnswer: -24.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.5687\nAnswer: -1.7061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*v + 5*v + 0*v**3 - 3*v**3 + 0*v**3 as h*v + c + g*v**3 + x*v**2 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k = 63*k - 20780. What are the prime factors of k?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4767 - 4767.4. Let m = 557\/6 - 93. What is the closest to 0.1 in x, m, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -89995*b**2 - 11*b - 16. Let g(c) = c**2 - 1. Let i(n) = 6*g(n) - v(n). Let m be i(-10). Round m to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.2, 3\/7, 6.4 in increasing order.\nAnswer: -0.2, 0.3, 3\/7, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 36.04, -3\/2, 2\/5, 0.2, -1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 + -2136\/11. What is the second biggest value in 3, p, -0.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxxxjjjxjjjjjxjjj. What is prob of picking 2 x?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(2\/(-4)*2). Suppose j*w - 7010 = 14590. What is w rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214452 - -301?\nAnswer: -214151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/6))**(-1\/15)*q**(-11)*q**(-11)*q*q*q)**27)**25 assuming q is positive.\nAnswer: q**(-25755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 70. Let w be l*((-6)\/(-4) + -1 - 0). What are the prime factors of (-4)\/w + (-311)\/(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.021 + 0.121. Which is the nearest to -1\/5? (a) 1 (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206, 214, 234, 272, 334, 426, 554, 724?\n\"Answer: u**3 + u + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4\/7 (c) 125 (d) -3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13, 2, -1\/4, 1\/8, 2\/5, 63, 1.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*k**4 + 0*k - 2\/5*k**2 + 4\/5*k**3 + 0.\nAnswer: -2*k**2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 11) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let z = 5 + w. Calculate the remainder when 5 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-11)*z)\/(z*z**(3\/2)))\/(z**(1\/34)\/z*z*z**(5\/2)) assuming z is positive.\nAnswer: z**(-511\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 divided by -11585?\nAnswer: 867\/11585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931 and 3577?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599794?\nAnswer: 2, 7, 229, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(122*w**2 - 83*w**2 + 254*w**2) to g*w + y + t*w**2 and give t.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34475, 48415, 62353, 76289, 90223?\n\"Answer: -b**2 + 13943*b + 20533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3004 is divided by 500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2543, -5250, -8121, -11144, -14307?\n\"Answer: 2*q**3 - 94*q**2 - 2439*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 4*g - 3. Let x be z(-5). Let b be (-39 - -36)*(1*-2)\/2. Suppose 3*a + 12 = 0, -k - x*k = -b*a - 291. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -36*g + 50*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 99\nAnswer: 133\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31569)\/1581 + (-1)\/31.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 46 - 3 = 3*l, 4*d - l + 3*l - 33 = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3643*d**2*z**3 + 59*d**2*z + 37*d*z**2 - d*z - 2*z**3 - 17650 wrt d.\nAnswer: 7286*z**3 + 118*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/(1 - -1)). Let q be (-2)\/(6\/(-9))*k. Suppose 5*y - w - 237 - 149 = 0, q*y - 226 = -5*w. What is the greatest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 + 109. Let f = 1.7 - -0.3. What is the second biggest value in f, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2307, 2305, 2303, 2301, 2299, 2297?\n\"Answer: -2*h + 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r - r**4 + 7*r)*(-5*r + 8*r - r).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = -5*z + 4*d, 3*d = -z + 49 + 55. Is 50 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 110337*u - 11865. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 11) + 6 - (10 - (11 - -3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 6*a + 9. Let d be z(6). Let j be (-10)\/(-45) + (-74)\/d. Let u be (-10)\/j*2*2. Sort 2, u, 1.\nAnswer: 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 305 = 19*g - 4*z, g - 5 = -4*z for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 40 + 7 = -316. Calculate the remainder when 3228 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 14. Let d be b(-10). Suppose -2*p + 7 - 15 = 0. Is p at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34108 or 34112?\nAnswer: 34108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from {i: 1, z: 14, b: 5}?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -24*c - 21. Let b be w(-8). Suppose 5*j + 1 - b = 0. Suppose o + j = 18*o. Calculate the remainder when 11 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 1439 - 1439.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 212*a**2 - 6341*a + 51442.\nAnswer: -(a - 178)*(a - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 457109*d**2*w**2 + 430346*d**2 + d*w**2 wrt w.\nAnswer: 914218*d**2*w + 2*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 200 - 202 = -206 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and 12?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from ssswwwrrmrrlslsnmwwm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - d**3)*(0*d**2 - d**2 - 9*d**2).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 4*s**3 + s**2 + 5*s**3 + 2*s**2 - 7*s. Let f be x(-3). Factor -y**4 - 19*y**2 + f*y**4 + 36*y + 18*y**3 - 20*y**2 - 12 - 5*y**4.\nAnswer: -3*(y - 2)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113497.7 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28.53 * -0.08025\nAnswer: 2.2895325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(77)\/(sqrt(121)\/(sqrt(11) + sqrt(33)\/sqrt(3))))**2 + 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14354, 14207, 14060?\n\"Answer: -147*n + 14501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4167, -0.3, 0.1143?\nAnswer: 0.1143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (2 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.17 + 0.17. Let n = 5 + j. Let l = n + -0.9999892. What is l rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/132 and 73\/3804.\nAnswer: 41844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1242)\/(-92) + 0 + 1 + -5. Is 3 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4010 + -24424?\nAnswer: -33434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/10 + 609*x**4\/2 - 370881*x**3 + 225866529*x**2 + 2*x - 1807. Find d, given that t(d) = 0.\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280015 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(6)\/sqrt(3) + -3 + -3.\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 4. Let m = -598.7 - -601. Let f = m - y. What is the third smallest value in f, -3, 15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/25 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + g + 39 = -g, 4*g - 144 = -4*c. Suppose -5*v + c = -43. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2. Let v(j) = 1. Let w(z) = h(z) + 6*v(z). Let q be w(-5). Suppose 0 = -4*d - c + 93, -c - 24 = -2*d + q*c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 12}. What is prob of picking 3 f?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*x = -6506, -69*x = -73*x - 12. What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/4 bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 + 2*p - 4. Let r be c(4). Suppose 2*z = -h + 5, -z - r = -4*h + z. Put h, -4, -2 in increasing order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3034332 (base 5) to base 7\nAnswer: -263566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 26 = 4*q, -k + 18 + 0 = q. Let j = 9 - k. Suppose -15*b + 10*b = -5*u - 25, -4*b + 18 = -3*u. Put j, -4, b in descending order.\nAnswer: b, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 651 = -5*g, 256 = 2*g - 3*z - z. Let s = g - 105. Solve 4*j - 2*u + 0*u - 10 = 0, 2*j + 5*u + s = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 3*w = 5*i + 85, 2*i - w = -35 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:40 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261*j**3*v - 35*j*l*v**2 + 4*j*l + 59*l*v**2 + 11035*l wrt j.\nAnswer: 783*j**2*v - 35*l*v**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/11)\/(0 + 1). Suppose 0 = -j*t + 6 + 30. Solve -3*c = c - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(o**5 + 4*o**5 - 4*o**5) - 7*o**5 - 11*o**5 + 0*o**5 + (-3*o**2 + 2*o**2 + 0*o**2)*(2*o**3 - 4*o**3 + o**3) + 2*o**5 - 3*o**2 + 3*o**2.\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56657.\nAnswer: 53, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -1.065?\nAnswer: 1.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (-17 - -4 - -1) + -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*18\/135*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 15 + 4 - 2 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21763281 divided by 17.\nAnswer: 1280193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50813 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.001 - -0.499. Let r(m) = -m**2 - 16*m - 41. Let o be r(-2). What is the biggest value in o, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004696577 rounded to 5 dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10380 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: Calculate prob of picking 1 o, 1 t, and 1 l when three letters picked without replacement from llxxolxotllllollllo.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 9*l - 151 = 6*l - 28, 11424*l - 205 = 11419*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 865523505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/((-207)\/(-144)) + 86. Suppose -5 = k - 40. Calculate the greatest common divisor of p and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, -2\/17, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11643 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5510 - -13?\nAnswer: -5453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + (-153 - -131).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = -2*u - 113, 3*r + 3 = 0. Let d = u + 287\/5. Let x = 0.53 - 0.37. What is the nearest to -2\/5 in d, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.3. Let j = 46 - 43. Sort b, 0.3, -4\/3, j.\nAnswer: -4\/3, 0.3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22150 and 2658?\nAnswer: 66450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let n(c) = -17*c - 11*c + 2 - 2. Calculate j(n(x)).\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 37*w + 1148. Is 6 a factor of l(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:30 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84809859?\nAnswer: 3, 28269953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 - 69*m**3 + 30*m**3 + 6*m**3 + 10*m**3 + 10*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 5400 = -0*u. Calculate the remainder when u is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 100*o. Let m(n) = -n**2 - 11*n**2 - 7*n**2 + 22*n**2. Calculate m(c(q)).\nAnswer: 30000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = -2*f, -2*b - 12 = -4*b - 4*f. Let n(i) be the second derivative of -i**3 - 11*i - i**b + 13*i + i**2. Let c(w) = -w. What is n(c(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -633.5544 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 469697259?\nAnswer: -469697255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.974, -1, 2307?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 118\/10 + 2\/10. Suppose 0 = -4*n - 4 + g. Suppose -n*o - 3*d + 52 = 0, 4*o = o + d + 56. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 15) + 13 + 0 + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, 247, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from vyyvyyy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.8. Suppose -5*o - 4*f - 4 + 7 = 0, 5*o = f + 18. Which is the closest to -0.1? (a) -4 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 5*i + 1. Suppose 4*b + s + 1 = 3*b, -s = -2*b + 13. Let a be b\/2 + (-22)\/2. Let j = 5 + a. Calculate p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20330 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*j - 65, w - 3 = 2*w. Let f = -1 - -5. Let x be 3\/4*f*1. Solve x*o - 7*o = j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-957888)\/69846)\/((2\/(-7))\/(-1)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 48 - 34 + 14.\nAnswer: 9*n**3 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4757.9 - -4758. Let v = -0.05 + 0.55. Which is the smallest value? (a) v (b) y (c) 3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + 1 + -10 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5061883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*c = 2*q - 174, 2*q + 3*c + 334 = 0. Let d = q + 251. List the prime factors of d.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-5))\/((-3)\/(-10)). Let u(n) = -3*n + 4. Suppose -68*h + 70*h = 218. Let j(b) = h + 109 - 219 + b. Give k*j(x) + u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7bf (base 16) to base 14.\nAnswer: a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*z + 4 = 2*z, 0 = -4*t + 2*z. Let g = -1 + 0.6. Let v = -59 + 57. Which is the nearest to v? (a) t (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2131 - -2145. Calculate the lowest common multiple of 1444 and m.\nAnswer: 10108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7\/(-8*(-4)\/(-144) - 3983\/(-17883))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -248, -282, -316, -350, -384?\n\"Answer: -34*k - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t**2 + t - 277. Let u be n(0). Let y = u + 392. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 161505 + -4?\nAnswer: 161501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -18, -2, -88869 in descending order.\nAnswer: -2, -5, -7, -18, -88869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5\/3 + 204068*b**4 - 7802384724*b**3 - 1335717863228*b**2\/3 - 6118549257408*b + 6571590725808 = 0.\nAnswer: -29, 1, 76554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y**2 - 2*y**2)*((-2 + 3 + 1)*(1 - 3 + 1) - 2 + 2 - 1)*(0 + 3 - 2).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 37 = -5*a + 4*i, 4*a + 2*i + 26 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1258.83.\nAnswer: -629.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j + 3*j - j)*(1495 + 852 - 1573) to the form m + g*j and give g.\nAnswer: -2322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 4*r**2 - 3*r**2 - 2*r**2 - 2*r**3. Let i be a(2). Let x = -7 - i. What is the nearest to 1 in 0.1, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-12))\/7*(-168)\/(-112)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0*m**3 - 3*m**3 + 4*m**3) + 0*m**3 - 2*m**3 + 0*m**3 + 2232*m**2 - 66*m**3 - 1114*m**2 - 1133*m**2.\nAnswer: -67*m**3 - 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0 - (63 + -66)) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-2\/15)\/(s**(-1\/16)\/s**5) assuming s is positive.\nAnswer: s**(1279\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 6*p**2 - p + 1. Let b be t(6). Let m be ((-2)\/b)\/((-12)\/(-10)). Let a(r) = -r**3 + 16*r**2 - 16*r + 16. Let f be a(15). Is f bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*c - 2247*c - 3010*c - 7989*c to h*c + o and give h.\nAnswer: -13081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -4*d. Suppose 2*p + 1016 = 3*z, -3*z - 2050 = d*p - 0*z. Let g = p - -1041. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - ((-1 - -2) + 20 + -16)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.2. Let u = f + 1. Let z = -0.5 + u. Which is the closest to -1? (a) z (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38\/5 + 34\/5. Which is the biggest value? (a) -1 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5298*v + 49943 + 213313 = -86412 for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -62\/3, -16\/3, -0.1, 1020?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69005 divided by 166.\nAnswer: -69005\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 + 642. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122010120 (base 3) to base 11\nAnswer: -9424","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 971 + -970. Which is the nearest to -1? (a) -1\/7 (b) -2 (c) 0.2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 98629, 0.9, -18.5?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -766\/15 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + (sqrt(512) - sqrt(512)*-1))*2 + 1*sqrt(512)*1 + (5*(sqrt(512) + -2 + sqrt(512) + sqrt(512) - sqrt(512))*-5)**2 + -3.\nAnswer: -79888*sqrt(2) + 1282497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(44) + 0 - (2*sqrt(66))\/sqrt(6)) + ((3 + sqrt(539) + 0)*-1)**2.\nAnswer: 42*sqrt(11) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 4*q + 1. Let u be w(-2). Suppose -2*y - n = -8, u*y - 3*n + 2 = -0*n. Solve -4*a = -5*s + 3, 0 = -y*a + 7*a - 3*s - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 6 (b) -2\/9 (c) -2 (d) -12\/13 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + 630*v - v**3 - 635*v)*(3*v**2 - 4*v**2 + 2*v**2) + v**5 + 3*v**5 - 3*v**5.\nAnswer: -5*v**5 - 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9980972 to the nearest integer?\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 429709 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: Calculate the remainder when 2653 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 2*x + 384 = 0. Calculate the remainder when 70 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + w + 13 = 7*x, -5*w = -5*x + 35. Let v be 18 + -659 + x + -1. What is v rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1758*x**4 + 45*x - 26.\nAnswer: -21096*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*r = -0*r + 150, -4*r = -20. Calculate the smallest common multiple of 10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/707 (b) -15 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -113\/3. Let i = 7826\/75 + -2592\/25. Factor u - i*q**2 + 1\/3*q**3 - 1\/3*q.\nAnswer: (q - 2)*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 5*a**2 + 2*a - 4*a in the form m + x*a + d*a**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 5*f**3 - 4*f**3 + (2 - 2 - f)*(f**2 + 1 - 2 - 2*f**2).\nAnswer: 3*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17078816.6 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/10)\/(r**(-5\/6)*r*r))\/(r**(-2)\/r)**12)**(-10\/11) assuming r is positive.\nAnswer: r**(-1042\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/6)\/(2090\/570). What is the biggest value in 2, 4\/7, 0.008, t, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1071 and 1836.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43912, 351250, 1185446, 2809930, 5488132, 9483482, 15059410, 22479346?\n\"Answer: 43905*g**3 - g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 997*w**5 + 5*w**4 + 4*w**2 - 5269?\nAnswer: 59820*w**2 + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 10 = 178. What is the remainder when 101 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = -14*u + 4*s - 7, 0 = -s + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 77. Suppose d + d = 8. Let l(m) = 2*m**2 - 5*m + 1. Calculate the remainder when t is divided by l(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z - 32. What are the prime factors of l(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 551*v**4\/24 + 3*v**3\/2 + 45*v**2 + 1. Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-1176))\/(1\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 14*s**2 - 14*s + 6. Let i be a(15). Let j = -4 - -7. What is the greatest common divisor of j and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {k: 5, p: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (2\/2 + -2). Suppose 6*t - 2*t - 40 = i. Suppose -t = -k - k. Calculate the remainder when 17 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4625*j**3 + 619785*j**2 + 4690*j.\nAnswer: 5*j*(j + 134)*(925*j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2764.42 * -226.\nAnswer: 624758.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21731802.\nAnswer: 2, 3, 37, 53, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 6 = -2*t - 0*o - 12 - 7, 0 = -5*t + 13*o - 185 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 1 + g**3 + 31 + 14*g.\nAnswer: g**3 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 5. Let a = -8 + 3. Let r be x(a). Solve o + r = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3547 - -14197\/4. Suppose n*i - 3\/4*i**2 - 3\/2 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 19*q + 7. Let s be v(1). What is the highest common factor of s and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 405544480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*c**2 + 3)*(-c + 2*c - 7*c + (-2*c - 2*c + 3*c)*(3 - 5 + 5) - 5*c + 4*c - 3*c) as m*c + k*c**2 + z + g*c**3 and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114\/25 - -253\/50. Let z(q) be the second derivative of 0*q**4 + 5*q - k*q**5 - 3\/2*q**2 + 0*q**3 + 0. Find the first derivative of z(h) wrt h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:47 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/2)\/((-3)\/(-39)). Suppose -3*m = 1 - 25. Let j = n - m. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2 - 2)*(33 - 18 + 26).\nAnswer: -41*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4654963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (19 + 3 + -14)*173\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 281634 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12620, 34377, 65346, 105533, 154944, 213585, 281462, 358581?\nAnswer: 444948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 155*-604\nAnswer: -93620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 25 + 9 = 0. Let m be 3\/(-3)*(h - -1). Suppose -m*y = -2 - 1. Calculate the highest common divisor of y and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/7 + (4 - 11). Factor -4\/7*y + 0 - q*y**2.\nAnswer: -2*y*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 18 + 4 = 0. Suppose s = 3*g + 2*s - 13, 0 = 4*g - s - a. Suppose -293 = -g*h + 152. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214936.5 kilometers in millimeters?\nAnswer: 214936500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 178, 183, 188, 187, 174, 143, 88?\n\"Answer: -d**3 + 6*d**2 - 6*d + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/6 - (-2)\/(-6). Let x be 0*3\/h - -1. Differentiate 3 - 6 - 2*y**3 + x with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3080)\/(-121))\/10)\/(2\/11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 - (-2000)\/8406. Let c = -21297\/1868 - j. What is the common denominator of c and 52\/11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3053 - 142511?\nAnswer: -145564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 34*d - 20 = -3*h, 5*d - 7*h + 51 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106512873 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 119 = s, 225 - 793 = -5*s + l. Let n = -187 - -125. Let o = s + n. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.49 take away -580216401?\nAnswer: 580216678.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v - 2*h + 1783, -5*v + 2975 = 4*h. Let o = 512 + v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -369\/7 - -51. Let y = -2277\/151 - -19158\/1661. Calculate the common denominator of l and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 17*i + 38. Let p(g) = 2*g**2 + 5*g - 2. Let k be p(-4). Let q = k - -6. What is the least common multiple of l(-3) and q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 45 - p - 3*p - 45. Let f(c) = -3*c**2 - 6*c. Let i(l) = -12*l + 7*l + 6*l. Let y(s) = f(s) + 6*i(s). Give y(o(g)).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-2*sqrt(300)) + 2)**2.\nAnswer: -sqrt(11)\/5 + 1611\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3*n + 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 11) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15)*g\/(g\/(g*g**(1\/8))*g))\/((g\/(g**(-3)\/g))\/g*g\/(g*(g**(1\/24)\/g)\/g)) assuming g is positive.\nAnswer: g**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 2384006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1702 + 103*r**2 - 1702. Let m(d) = -17*d. What is f(m(n))?\nAnswer: 29767*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:56 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -79*d + 3. Suppose 9 = -3*u + 2*o - 0*o, -u + 2*o - 7 = 0. What is the remainder when l(u) is divided by (-4)\/(-14) - (-145)\/7?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cceeceeeeecec. What is prob of sequence ccec?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -206*s + 200*s. Let t(m) = -37*m - 1. Let b be t(s). Which is smaller: b or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000955381 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = -64. Let i = 18 - 24. Let m = i - r. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 = -65*l - 30*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Suppose 3*b = 4*c + 7*b + 4, y*b = -15. Solve c = 2*t + 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 0 - (1 + -50 + 39)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*p = 73*p - 65. Let w(i) = -i**3 - 11*i**2 + 10*i + 15. What is the hundreds digit of w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 572754693, 1145509391, 1718264091, 2291018793, 2863773497?\n\"Answer: z**2 + 572754695*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 - 88\/(-20). Suppose o*p + 5*f = 20, 4 = -2*p + p + f. Let j be 1 + 3\/((-3)\/(-2)). Solve p = -2*m - j*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*h = 0, 3*b - 9 - 7 = 2*h. Let k = b - -2. Find l such that -3*l**4 - 2*l**3 - 6 - l**3 + 3*l + k + 3*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/4)\/((-12)\/(-64)). What is the second derivative of -100*q + q**3 - 73*q**4 + 144*q**k + 23*q wrt q?\nAnswer: 852*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:03 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 + 179. Does 14 divide 20*10\/(g\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17709208 and -237474.\nAnswer: -17946682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 - 43*q + 8 - 4 - 3 as d + b*q and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/45 and -74\/75993?\nAnswer: 1139895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584 divided by -33?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1147976, -1147978, -1147982, -1147988, -1147996, -1148006?\nAnswer: -1148018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/258 and 57\/20.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4283 (base 13) to base 16\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*a = -16, -4*u + 0*a - a = -47. Let r be (4 - 5)*(-3 - -2). Calculate the remainder when (-6*r)\/(-3) - -31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/12 + k**3\/2 - 7*k**2\/2 + 3*k. Let z = -2 + -3. List the prime factors of r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**5\/7 - 16*b**4 + 676*b**3\/7 - 176*b**2 - 70*b = 0.\nAnswer: -1\/3, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21014*-0.15\nAnswer: -3152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlnn when four letters picked without replacement from {l: 2, n: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9814*v**2 - 3*v - 5. Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7636681 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9298905?\nAnswer: 3, 5, 7, 11, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 763848 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)\/((-2)\/10) + -211. Let k = -206 - f. Solve 8 = -2*t - k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2. Let n(c) = -32708343*c. Give q(n(v)).\nAnswer: 3209507105416947*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqpqqqqpqqq. Give prob of sequence qpqq.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -930.7022 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.152 + -1.612. Let a = -0.06 - h. Let w = a - 0.5. What is the third biggest value in 0.1, 1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298b4 (base 13) in base 14?\nAnswer: 5950b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 135*n + 105. Give p(-67).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2708\/677*9\/((-360)\/170)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09045 or 1877?\nAnswer: -0.09045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/987 and -77\/1410?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*s = 26, 10*h - 5*h = 3*s + 53. What is the common denominator of -131\/6 and 5\/6*(-4)\/h*-23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/84 - 3\/(-12). Sort -0.5, 0.4, d, 10 in descending order.\nAnswer: 10, 0.4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8044, 5, -4, 6, 3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3481\/1739 + -3 + 1. Let s = -81697\/20868 - g. What is the common denominator of s and 75\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 18, 1, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 2. Let u be k(-1). Which is bigger: 0.4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 4081*c**2 + 17 + 4100*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2*m**2 + 4*m + 4. Let g be z(2). What is the tens digit of g + (-3)\/3*-66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 2\/3 (b) -10.1 (c) 707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*p + 1 = -2*f, -f + 3*p - 9 = 0. Calculate the common denominator of 7\/(-6)*175\/(-98) and 1 + (2 - 87\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 222*m - 218*m = 108, -2*m = 4*f - 112. Calculate the remainder when 185 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295513727.\nAnswer: 11, 299592157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021716 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + -3 - (sqrt(26)\/sqrt(2) + -3).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 40397 and 40398 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/386, -3, -3\/19, -0.2, -7.\nAnswer: -7, -3, -0.2, -3\/19, 0, 3\/386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 337*p. Let m(a) = -67*a**2. Give m(x(z)).\nAnswer: -7609123*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -998 - -1005. Solve -3*t + 5*z = -j, t + 4*z + 4 = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 3*o + 2. Let v be y(-2). Suppose 138 = 6*z - v*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 18*b**2 + 8*b - 24*b**2 + 6 + 2 + 2*b**2 - 2*b**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*h**2 + 98*h**2 + 129*h - 2 - 248*h + 124*h - 9*h**3 - 2*h**4 as r*h**2 + u*h**3 + z*h**4 + j + y*h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2184 + 2150. What is the second biggest value in 0.5, -2, 5, -3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 102211010020112 (base 3) to base 8.\nAnswer: 27754030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 7 = 2*w - 5*p, -6 = 3*w - 3*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 + 60*u + 2. Let v = -280 + 285. What are the prime factors of t(v)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/((-273)\/(-28) + -9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/2 - 3*c**2\/2 - 2*c. Let t be u(5). Suppose 2*i = -2*i - t. Does i = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 3*j - 3. Let b be h(3). Let l(k) = -3 + 2*k**2 + 14 - 2*k - 9 + 0 + 0*k**2. Let f be l(b). Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12.7566369 hours?\nAnswer: 0.0759323625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5407 - -0.0963. Round m to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 7. Let c be u(5). Let a = c - -27. 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 remainder when 64 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-12 + -4)\/4 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) -4 (c) -3 (d) 8\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 9. Let j be (-94)\/(-18) - l\/27. Suppose -v - 140 = -j*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402341 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 4 - 4. Let m(g) be the third derivative of -g**8\/10080 + g**5\/20 - 3*g**2. Let i(n) be the third derivative of m(n). Determine p(i(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dac5 + 1?\nAnswer: -dac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -11) + -16 + (34 + -1 - 3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 55927*j**3 + 2*j**2 - 4*j - 1. Let b be s(-3). What is b rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*w**2 + 842*w**2 - 275*w**2 - 193*w**2 - 191*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -16, -2\/9, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1143 from -1466.631995.\nAnswer: -1466.746295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 230896000 rounded to the nearest one million?\nAnswer: 231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -3\/2, 7, -11, 0.0172, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-1 + i + 1).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 869?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 4:31 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 0 - (-41 - -37)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 56*a - 175. Let g(z) = 57*z - 180. Let f(s) = -6*g(s) + 5*x(s). Find the first derivative of f(n) wrt n.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -277, -416, -555, -694, -833?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-98)\/(-42) + (-12)\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 112*q + 2425. What is the remainder when 385 is divided by x(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 61604334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58524, 53401, 48278, 43155, 38032, 32909?\n\"Answer: -5123*m + 63647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121200 (base 3) to base 13.\nAnswer: 16bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2080701 and 4500415.\nAnswer: 2419714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 42380*r**2 + 101333745*r - 47178891450 = 0. What is r?\nAnswer: 610, 3933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 233725483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*h = -237*h + 1692 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = -81*w - 307*w - 25623 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 14) + -95 + 83 + 3 + 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4976)\/3421*(-1)\/(2\/11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1\/2 (c) 3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-12))\/((-4)\/40). Let s = 5.5 - 5. Let q = 0.9 - -0.1. Which is the closest to q? (a) s (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 2*g. Let j be 0 - (-2 + 13) - g. What is the units digit of (21\/j)\/((-2)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6470 (base 8) in base 14?\nAnswer: 133a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 34. Suppose -50*c + 48*c = -18. Let j = 11 - c. Put b, j, -4 in decreasing order.\nAnswer: j, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 1726434*q**3 - 3452844*q**2 + 6905736*q + 13811424 = 0. What is q?\nAnswer: -575476, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744 = -402*l + 400*l. Let p = 374 + l. Let t = 11 - 6. What is the third biggest value in p, -1, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3621240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 25*b**2 + 2*b + 6. Let l(f) = -22*f**2 - 2*f - 7. Calculate -5*j(k) - 6*l(k).\nAnswer: 7*k**2 + 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, -47, -255, -663, -1337, -2343, -3747?\n\"Answer: -11*z**3 - z**2 + 6*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 105 = -3*f - 5*c, 105 = 5*f - 3*c. Suppose -40 = -6*b - 2*b. Calculate the least common multiple of b and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506.1662 months in millennia?\nAnswer: 0.12551385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h = 42*h - 630. Which is greater: h or 88?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let c = -14 - -10. Let o = c - -7. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8 and -11\/28824.\nAnswer: 28824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m - 4 + 4*m**3 - 1\/2*m**2. What is f(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 2*p, 11 = -3*p + 23. Suppose y = 5*b + 21, 5 = 4*y + y. Sort k, b, -2 in ascending order.\nAnswer: b, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 298*n**2 - 3*n - 3. Let z be b(-2). Let i = -706 + z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) - sqrt(56))*4)\/(5*sqrt(72)).\nAnswer: 16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 540018.\nAnswer: 8640288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3203 - 3201. Solve g*z = w - 7, 2*w + 0 = -3*z - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -17228000.99202.\nAnswer: 17227995.99202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*b - 23 = a, -a = -b - 3. Suppose u - 5*h - 1065 = -2*u, 4*h = a*u - 1788. Suppose -3*c - w + u = 0, 3 = -0*w + w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8702784 decades?\nAnswer: 0.08702784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - 9 - (0 + -22). Let l be (8\/16)\/(1\/6). Suppose -l*i = 3 - k. Calculate the lowest common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449787093 divided by 149929031.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/10 - 5\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -17*p**2 - 2*p - 2. Let y(k) = k**3 + 16*k**2 + 3*k + 3. Determine 3*o(j) + 2*y(j).\nAnswer: 2*j**3 - 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5810*h - 9304. What is the tens digit of q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 4*n + 116 = 0, -2*q + 3843 = 4*n + 3919 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 11. Let u be m(-9). Suppose 0 = -4*y + 20, 0 = 5*i - u*i + y - 11. Let p = -4 + 3. Sort p, i, -3.\nAnswer: -3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 > 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7960 = -3*y. Let g(r) = -3980 - 4*r + y + 2*r. Let k(w) = 33*w. Determine k(g(u)).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q**2 + 0*q + 81\/4*q**4 - 4\/3*q**3 - 147. What is the third derivative of a(p) wrt p?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-8 + 25 + (8 - 32))) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20921.53 + -4.\nAnswer: 20917.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 46*z + 263. Give w(5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = n + 2*n - 9, -2*n = 4*x - 6. Suppose -n*o = -2*o - 72. Let h(u) = 21*u**2 + 116*u - 35. Calculate the remainder when o is divided by h(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*d**4 + 16*d + 107?\nAnswer: 48*d**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 106, 162, 218, 274, 330?\n\"Answer: 56*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 5*p - 31 = 10*t, 3*p = -6. Suppose -t*f + 5 = -6*f. Solve -5*l = 2*i - 1, 4*l + f*i - 10 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 13*u + 16. Let s be w(-13). Suppose 162 = 19*p - s*p. What is the remainder when 160 is divided by p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*u**3 + 50*u**3 + 34*u**3 - 42*u.\nAnswer: -u**3 - 42*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23799 is divided by 533.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 - 376*p + 92. Calculate z(-15).\nAnswer: 1457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -538, -1851, -4422, -8671?\n\"Answer: -70*p**3 + p**2 + 12*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38 = -2*y, 5*y - 3*k = -k + 83. Let s(h) = 2*h**2 - 33*h + 2. Calculate the remainder when 94 is divided by s(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 9*k + 8. Suppose 2*p + p + 18 = 0. Let t(h) = -h**2 + 8*h - 7. Suppose 0 = v - 5*v + 28. Let r be (4 - 3)*v*-1. Calculate p*b(u) + r*t(u).\nAnswer: u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let k be c(4). Let m = -9 - k. Let b(h) = -5*h**2 + 5897*h + 41526. Let z be b(-7). Put z, 3, m, 4 in descending order.\nAnswer: 4, 3, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2698*o**2 - 5*o + 5. Let k(f) = -2921932*f**2 + 5416*f - 5416. Give 5*k(s) + 5416*u(s).\nAnswer: 2708*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -s - 1, 2*d + d - 4*s = 4. Let i be (8\/(-12))\/((-2)\/12). Suppose -i*g = -4*o + 12, -4*o = -5*g - 10 - 1. Solve -4*q = d, -n - o*q + q = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2147 - -6054. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + 15 = 0. Let w(l) = 2*l + 2. Let p be w(0). Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23011300232 - 100?\nAnswer: 23011300132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyggghggggbgysggyhb. Give prob of sequence sbhy.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4436, -2, 39, 2 in increasing order.\nAnswer: -2, 2, 39, 4436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.3, 13, -18, -91, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 830792551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -46. Suppose 3*m + 54 - 48 = d. Which is the smallest value? (a) m (b) -4\/25 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 22. Let h be b(-17). Suppose h*y = 2*i + 15, y + 3 + 12 = 4*i. Solve 0 = 2*p - 3*z - 10, -p = i*z - 2 - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 13, g: 1, y: 1}. Give prob of picking 1 y and 2 i.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1578548, -3158182, -4737818, -6317456, -7897096?\nAnswer: -9476738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*a = -41, -2*c - 8 = -a - 22. Solve c = h + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 650 - 5149\/8. Let n be (-1 + (-53)\/(-2))*(-9 - -7). What is the common denominator of f and 2 - 2 - n\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -126, -190, -254, -318, -382?\n\"Answer: -64*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b. Suppose 2*q = 3*q + 5, 3*q + 19 = 4*i. Solve -2*j - 14 = -2*v, -2*v + b*v = 3*j + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*u + 199*u + 786. Let i(v) = -92*v - 289. Determine i(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/3 - 7*t**2\/2 - 5*t. Differentiate v(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = 4*b - 4, -5*b - j + 25 = 0. Calculate the remainder when 15 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 23 = 3*m, 3*d - 8 = 3*m + m. Find the first derivative of 4*h**d + h**4 - h**4 + 4 - 2*h**4 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let v(d) = 4*d**2 + 0*d**2 + 6*d**2 - 2*d**p. Let o(a) = a. Determine v(o(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(7056)*-1 - sqrt(49))\/(sqrt(112)\/sqrt(4)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10298 is divided by 179.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(13)*2)**2 + 4 - (-1 + sqrt(13) + -1))*-3.\nAnswer: -870 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s + 11. Let p(d) = 3. Let g(c) = -2*k(c) + 6*p(c). Determine g(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 2*x)*(-438*x - 9*x - 3873 + 3872).\nAnswer: -894*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*v - 2*q + 9, -4*q - 12 = 0. What are the prime factors of (4*-14 - 4)*34\/v?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 466*o**3\/3 - 871*o**2\/2 + 46*o + 1. Find the first derivative of y(q) wrt q.\nAnswer: 932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*sqrt(76).\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/20 + z**4\/12 - z**3\/6 + 41*z**2 - 8*z. Is 22 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2815\/4 + -19921\/28. Suppose 3*y - 206 = 385. Let l = -1808\/9 + y. What is the common denominator of c and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5868821*f**3 + 16299076?\nAnswer: -17606463*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (11 + -11)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 616806.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 26516 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/42 + (-60845)\/59430?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8271\/10 + -1655\/2. Is -3352 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4 - 11*u - 12. What is the first derivative of h(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*n = 480, n + 12 = 4*n. Suppose 3 = -5*b + 8, -u = b + 466. Let r = x + u. What is r rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 43*r**2 - 9*r + 15. Is b(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.842 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1331 and 2321?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 23*g**2 + 31*g - 253. Calculate l(22).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(-1734 - 887 + 5138 + 5216)*(-c - 3*c + 3*c).\nAnswer: -23199*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 166007*h - 664012.\nAnswer: -(h + 4)*(h + 166003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 7*k + 13*k - 133 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {t: 15, s: 5}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 767 = 3*w, w - q - 3*q = 239. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128066609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upk when three letters picked without replacement from kpkpppunkkpnnp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3587 is divided by 1425.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17367356 (base 8) to base 7.\nAnswer: 46333263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*l - 86 = 0, 3*m - 638 = 3*l - 509 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -153. Calculate the highest common divisor of o and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*i + 74 + 98, 0 = 4*h + 3*i - 230. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -980 at least -981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -10. Is w > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(27)\/(((sqrt(90) - sqrt(90)*-5) + sqrt(90))\/sqrt(10)) + 0 + sqrt(18)\/(sqrt(384)*-3).\nAnswer: 17*sqrt(3)\/168 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6700 and 20100?\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9) - (-14)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 31. Let l = -345 + 195. Let v = j - l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 36. Suppose u - 20 = -z*u. Suppose -4*h + 16 = -0*h, 5*k + u*h = 471. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, m: 3, c: 5, f: 3, t: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -6. Suppose 0 = -4*v + m + 25, -4*m = -2*v - 2*v + 28. Let w(d) = d + 3. Let r(z) = 2*z + 5. Determine b*w(q) + v*r(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -4 - 5) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-1*-3)**2 + -5 + 3 + (sqrt(1872)*-2)\/(sqrt(4) - (sqrt(4) + sqrt(576)*-2) - sqrt(4)).\nAnswer: -12*sqrt(13)\/23 + 14155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1445 + -209526\/145. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2 - (-4 - -3)). Suppose 5*b - 21 = -3*p, -b + 18 = g*b + 3*p. What is the units digit of 66\/24 + b\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 n when three letters picked without replacement from {h: 1, v: 3, y: 1, n: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -56*c**5 + 1. Let z(j) = j**5 + j - 1. Let v(f) = m(f) - z(f). What is the second derivative of v(r) wrt r?\nAnswer: -1140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1594, 6316, 14176, 25174, 39310?\nAnswer: 56584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12\/5 (b) -5 (c) -3 (d) -0.5 (e) 0.5 (f) -22.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 3*f - 6. Let h be n(-5). Which is smaller: -17 or h?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g. Let d(r) = r**2 - 5*r - 18. Let c be d(8). Let x be 5 + c + -3 + -26. Let n(s) = s. What is x*n(l) + 4*i(l)?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 7841*y**6\/120 + 1567*y**4\/24 - y**3\/6 - y**2 + 142*y - 1. What is the second derivative of s(d) wrt d?\nAnswer: 47046*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -18*b + 24*b. Suppose 11*x - 99 = -b*x. Solve -2*p = -3*h + 3, -x*h + 6*h + 3*p - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2615774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - q - 50 = 0, -j + 3*q + 2 = 41. Which is the third smallest value? (a) j (b) 2 (c) -12 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 2*s**2 - 5*s - 6. Let k be z(-4). Let m = k - -88. Solve -2*v + v + 5*n = 12, 3*v - m = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let s(u) = -4*u**2 - 9*u - 12. Let t(d) = -3*d**2 - 8*d - 11. Let v(i) = x*t(i) - 2*s(i). Factor v(a).\nAnswer: -(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1240\/9 + -9515\/72. Find the common denominator of 67\/12 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3077 - 1449. Let m be 3 - (s\/165)\/((-6)\/15). Is 28 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**5\/20 - 3*o**4\/4 + 5*o**2\/2 + 21*o + 6. Let i(r) be the first derivative of m(r). Let d be i(9). Solve d*a = -5 - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -27.042\nAnswer: -10.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*n + 34295 - 110288 = 419*n + 112*n for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/7 + -13\/14. Let h = -7.3 + 4. Let q = h - -0.3. Which is the second smallest value? (a) q (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 - 2*t + 5. Let u(m) = 3*m**2 + 2*m - 1. Let o be u(1). Suppose -o - 2 = -r. Calculate g(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 27, -1.22, -0.6, 1\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4*k - 5. Let r be a(5). Let b be (r\/210)\/(4\/6). What is the second smallest value in -3, -2\/5, b, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 2814*q + 37089.\nAnswer: -3*(q - 951)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14124 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -0.1, -297\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-21) + (-1)\/(-5)*-19.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3218738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 198026393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18920.\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44716344 divided by -8?\nAnswer: -5589543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvbmzkmoz. What is prob of sequence om?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-29 + 17 - -11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 4671?\nAnswer: 5\/1557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81238 and 8?\nAnswer: 324952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose x = -2, 2*f + 0*x = i*x + 32. Does 8 divide (-2)\/(-8) + (-127)\/f*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172405112 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let y(m) = -2*m**2. Let g(r) = -6*x(r) + 2*y(r). Let i(f) = 2*f. Determine i(g(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: (2\/((-54)\/(-21)))\/(((-199650)\/(-1485))\/242)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 463*s**2 + 43982*s - 266. Calculate k(-95).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by 1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/136 and -31\/9.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/3 + 14*o**2\/3 + 28*o\/3 + 16\/3 = 0?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235*g**3 + 10 - 1 + 245*g**3 wrt g?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose w*o = -2*a + a - 8, -a = o. Solve f + 4*t - 19 = 0, 0 = -4*f + 2*f - a*t + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o - 60. Let i be a(7). Let c(f) = f**i + 7*f + 6*f - f**2 - 14*f. Give c(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -22, 37976?\nAnswer: 37976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109972928 to the nearest integer?\nAnswer: 10487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299511 and 133116.\nAnswer: 1198044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5085, -5125, -5177, -5241, -5317, -5405?\nAnswer: -5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h + 8. Let a(g) = 217*g - 651. Let p be a(3). Give m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + z. Let j(v) = 2*v**3 + 23*v**2 + 4*v + 21. Let d(n) = -3*f(n) + j(n). What are the prime factors of d(-12)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**3 + 24*v**2 - 123*v + 583. Calculate b(5).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 189*s**2 - 2932*s - 1303. Give f(-172).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/((-30)\/(-100)). Suppose 4*r - 41 = -q, -17 = -2*r - 2*q + 5. Sort l, 4, r, 0 in descending order.\nAnswer: r, 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z**3 - 167380*z**2 - 502275*z\/2 - 94185 = 0. What is z?\nAnswer: -3\/4, 4186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(11) + sqrt(1100)*-1.\nAnswer: -9*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625140 and 2597850?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962 - 5798 = -962*p + 865*p for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 7.\nAnswer: -3, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38109?\nAnswer: 3, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 772118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {n: 3, c: 5, u: 1, g: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 36*j**3 - 45. Let n(x) = x**3 - 1. Give -a(h) + 45*n(h).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2293662 to the nearest 1000.\nAnswer: 2294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50640 divided by -6\nAnswer: 8440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 9879?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437403 is divided by 2662.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(-19))**(-7\/2) assuming g is positive.\nAnswer: g**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from iiiiiiiiiiiis?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54.7 + 60.7. What is the nearest to 0 in -0.05, -0.3, z, -2\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 444\/114) + 946\/6536. Suppose 3*w = -4*a - 8, 0 = w + 4*a + a + 10. Factor 0*x - 1\/4*x**3 + w + 1\/4*x**4 + o*x**5 - 1\/4*x**2.\nAnswer: x**2*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*g = -233*g. Solve g = -7*o + 4*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -816?\nAnswer: -1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 25*k = -42. Let x(i) = -5*i - 5 - 5 + i**2 + 5. What is x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 85.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -30, -49, -68, -87?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-64)*-14*41\/(287\/84). Factor -m*w**2 - 343\/4 + 1\/4*w**3 + 147\/4*w.\nAnswer: (w - 7)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -379, -1284, -3051, -5968?\nAnswer: -10323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1 - 6*s + 0*s + s**2 + 7. Let g be r(5). Suppose -5*l = -11 + g. Solve -l*n = -n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 1\/79307056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 231\/27 + ((-1)\/3)\/(24\/5224)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -47. Which is the closest to -1? (a) 1 (b) 3\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/42 + 76\/798. Which is the biggest value? (a) -4 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/650 and 89\/45?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 5, 2, -30, 6, -5 in descending order.\nAnswer: 6, 5, 2, -5, -23, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8795110.\nAnswer: 2, 5, 47, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 2047458?\nAnswer: 20474580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g - 1. Let w(f) = -f - 3. Let z be w(-4). Let i be c(z). Solve 3*r + i = -0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**3 - 2*c**3 - c**3 + (430*c + 467*c + 115*c)*(4*c**2 - 2*c**2 - 3*c**2).\nAnswer: -1009*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -48c?\nAnswer: -49c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -1. Let n(o) = o**2 + o. Let m(x) = 7*x**2 + 6*x. Let c = -48 + 49. Let f be (3\/(-6))\/(c\/(-12)). Determine f*n(u) + q*m(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + (1 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*3\/(-24)*-4. Suppose 5*v + 95 = 5*p, 3*p + b*p = 2*v + 58. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 9 - 10*s - s - 3*s + 0*s + (0 + 3 - 1)*(-s + 0*s - s) in the form k*s + o and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30649922*m**4 - 13155293*m wrt m.\nAnswer: -367799064*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - ((1 - (1 - -11 - 3)) + -142 + 158).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - -1) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-364)\/(-78))\/1*((-540)\/21)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92802 + 28?\nAnswer: -92796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324 + 2 + 0 + 0\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0*y - 1\/2*y**5 - 1\/2*y**2 - 3\/2*y**4 + 0 - 3\/2*y**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69340 rounded to the nearest one thousand?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -167985 + 3*d + 167985. Let i(p) = -4*p**2 + 3*p + 24. Let g(h) = -11*h**2 + 8*h + 72. Let q(f) = 3*g(f) - 8*i(f). Calculate q(c(s)).\nAnswer: -9*s**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 - (-4 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is cea62c (base 15) in base 6?\nAnswer: 551131240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 9*c**2\/2 + 180*c - 95. Let n be s(-19). Which is bigger: 98\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*20*(-3)\/48.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 11:26 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 100 and 9.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(10\/9)*b*b)**(1\/8))**(-32))**(2\/81) assuming b is positive.\nAnswer: b**(-224\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-22.77385.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-13 - 2) + 29 - 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141 and 126.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/612)\/(1\/(-1*4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -11) + 9 + (1 - 1) + -46 + 43?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 + 556*a\/3 + 184.\nAnswer: 4*(a + 1)*(a + 138)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8179415\/39729 - -5\/2337. Let l = d + -206. Which is the nearest to -1\/4? (a) 11 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (73 + -13 + -72)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3*x - 2*x - 3*x) - 10*x + 25 - 25 + (0 + 0 + 2*x)*(-1 + 0 + 0) - x - 3 + 3.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 4. Suppose 7*v = 2*v + 20. What is the tens digit of a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312647 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-38*(-64)\/(-17024))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/47598 and 59\/55531.\nAnswer: 333186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*r + 13 = 16*x - 0*r, 2*x + 3*r = 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-17)\/(2618\/84))\/3. What is the nearest to -2 in -15, -1\/3, p, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147\/4*f**3 - 3\/4*f**5 + 0*f + 21\/2*f**4 + 0 + 0*f**2.\nAnswer: -3*f**3*(f - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*103.8.\nAnswer: -13.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 + 41*q**3 - 10*q - 2?\nAnswer: -40*q**3 + 246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.3 + 15. Is d less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 277631, -3, -2, -5 in descending order.\nAnswer: 277631, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/92)\/5)\/(-1)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81972885?\nAnswer: 3, 5, 727, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -538.\nAnswer: 1\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.802836 millennia in months?\nAnswer: 45634.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 3*b + 4*b + (-4*b + 5*b - 2*b)*(-2 + 0 - 1) + 5 - 5 - 2*b as m + k*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - -1. Let n be 3*(55 - (-3 + 13)). Suppose 37*p = 64*p - n. Sort 0.3, h, p, 0.2 in ascending order.\nAnswer: h, 0.2, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 33410435?\nAnswer: -33410442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245633 + 9*h + 245694 - 491327.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114225 is divided by 106?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7865941336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/4 - 592665*z + 351251802225 = 0.\nAnswer: 1185330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 5, 21 in increasing order.\nAnswer: -0.3, 0.1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 6*j - 19*j. What is the remainder when 1329 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2259*w + 6*w**4 - 2*w**3 - 5 + 4 - 2257*w as a + t*w**4 + y*w**3 + g*w + c*w**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 7}. Give prob of sequence sss.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 34*t - 110. What is c(-8)?\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33648 is divided by 6716.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 3. Let x be z(7). Factor 5*c**2 + 5*c**3 + 28*c - 5 - 2*c - x*c.\nAnswer: 5*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 f when three letters picked without replacement from {a: 1, y: 1, f: 1, o: 1, h: 2, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, 8, -37, -88, -145?\n\"Answer: -3*u**2 - 30*u + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 + 115393*g**3*j + 32347*g**2 + 9*j wrt g?\nAnswer: -48*g + 692358*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.12, 0.3, 1, -2\/3 in descending order.\nAnswer: 1, 0.3, 0.12, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 101743, 101434, 101125, 100816, 100507?\n\"Answer: -309*f + 102052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4) + 4 - (12 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*b - 5*z, 3*z - z = b - 2. Let o be (0 - (-15)\/b)*4. What is the common denominator of 205\/o + 1\/1 and 69\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (281\/(-24))\/(5\/(-10)). Let r = k + -99\/4. What is the nearest to -3 in r, 0.1, 2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*4 + 6*sqrt(7)*-5)**2 - ((sqrt(112) + 1*sqrt(112))*-6 + -5)**2)*6.\nAnswer: -88686 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -26, -34, -42?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 93*p + 668. Determine u(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*-6)\/(sqrt(112)\/sqrt(4)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 696 + 4798 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51122\/11 (b) -41 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1977 - -7077. What are the prime factors of l?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277636 is divided by 16331.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169084802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/(16\/128). Suppose -s + l = -3*l - 45, 30 = 2*s + 4*l. Let j = z + s. What is the lowest common multiple of 4 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 6*d**2 - 16*d + 246. Calculate the remainder when j(0) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m + 10*m + 0*m - 31*m + 55.\nAnswer: 2*m + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 4:18 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8289.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -313232 (base 5) to base 3\nAnswer: -112022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -48. Which is the third smallest value? (a) -0.1 (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/105*((-1026)\/(-76) - -11). Let o = 0.3 + -0.5. Put o, -0.1, k in increasing order.\nAnswer: o, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((-12 - (31 - 29)) + -12).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 157*(-3)\/2*(-4)\/6. Let u = 232 - x. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 4*v + 3. Let i(y) = -4*y**2 + 4*y - 2. Let h(f) = 4*i(f) + 3*t(f). Give h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (8 + 5 + -3) - 2 - (3 + -53)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15442? (a) 0.107 (b) 3 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 3*h - 6. Let i(j) = -6*j**2 - 3*j - 7. Calculate 6*i(r) - 7*w(r).\nAnswer: -r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-1 + 4 - 4)*(-g**3 + g - g) + (-g - 1 + 1)*(17 - 6*g**2 - 17).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -132. Suppose -23*y - 16 = -27*y. Solve 0 = -2*j - i*v - 9, -5*v - 6 = y*j + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18971840 is divided by 1452.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2985012 and 73\/7470.\nAnswer: 14925060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Let w(q) = -q**3 + 4*q**2 + 6*q. Let l be w(5). Suppose -d + 2*c + l = -3*c, 2*d - 2*c = 10. Which is bigger: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = 1. Suppose 5*w + g = 4 + 11, -i*g = -10. What is the least common multiple of 17 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -211 + 244. Suppose b = -5*x + 43. Solve 8 = -2*k - x*m, 4*k + 23 = -3*m + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -106. Which is the third smallest value? (a) 4 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/((-2160)\/(-42688))*(-1 + 4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vununcvlvu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 80167024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/90*-3*79250\/1268?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*q**2 - 3 + 29*q**2 - 11*q**2 in the form b*q**2 + h + i*q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/20 - 3*o**4\/8 + o**3 + 5*o**2. Let w be x(-11). Let t = -283 + w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 76*v - 461. Let f be k(6). What is the closest to -0.1 in 0.13, -4, f, 4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71960379.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-12)*4*(-4)\/12. Let d(l) = -2*l + 21. Let w be d(9). Sort -12, h, w in decreasing order.\nAnswer: w, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qccx when four letters picked without replacement from {x: 5, q: 6, c: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*n**3 + 107*n**2 - 107*n**2)*(-2*n - 8*n - 5*n) + n**4 + 9*n**4 - 7*n**4 to l*n**4 + o*n**3 + i*n**2 + w*n + q and give l.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) -23\/2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2019 - -3?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/12 - 245\/28)\/((-65)\/(-208))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728733.\nAnswer: 3, 242911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 70 = -4*r. Let l = -2669\/130 + 328\/13. What is the common denominator of r\/(-20)*(-4)\/6 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 1.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*z**4 - 31*b**2*z**2 - 5*b**2 + 189*b*z**4 wrt z?\nAnswer: 24*b**2*z + 4536*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 3*n - 1. What is q(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.63075124 + -10.63075134. Let y = -14 - -23. Let j = c + y. Round j to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67045 and 38745915.\nAnswer: 6095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 639576 and 1172556.\nAnswer: 7035336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -392.\nAnswer: -11\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/8 - -155\/56. Let m = -2.2 - -2.238. Let y = m - -2.962. Which is the closest to -2? (a) f (b) 3\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 16*y - 28. Determine d(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 2\/11, 5, 3\/2, 0.314?\nAnswer: 0.314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*t + 4*t - 12*t**3 + 31*t**3 wrt t?\nAnswer: 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -457 - -469. What is the common denominator of 41\/23 and 13\/((-702)\/z)*71\/2?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-20)\/8 - 33\/(-6). Let n(z) = -11*z + 14. Let h(t) = -7*t + 9. Let k(o) = 8*h(o) - 5*n(o). Determine k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 + 1 + -4 + 18. Calculate the greatest common divisor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017953 rounded to 5 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(8\/(-35))\/((-7308)\/(-4263))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*w + 497*w = -485*w + 224 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 7, -6, 0 in decreasing order.\nAnswer: 7, 5, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4379*z + 280*z**2 + 4381*z - 29*z**2)*(3*z + 0 + 1 - 2*z) + z**3 - z**3 + z**3.\nAnswer: 252*z**3 + 253*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeex when four letters picked without replacement from {e: 3, x: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 26*z**2 - 114*z + 216. Let n be i(21). Solve n = 55*l + 302 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227960 less than or equal to 227829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 + 3*w - 3*w)*(-428*w**2 + 1812*w - 1812*w) - 2 + w**4 + 2 as s*w**2 + i + b*w**4 + t*w + z*w**3 and give b.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/24*-1)\/(((-9009)\/(-72))\/(-77))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Calculate the smallest common multiple of (-10128)\/(-360) - 4\/30 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 4*y**2 + 5*y + 4. Let u be w(-2). Suppose -u*x = x + 3*l - 366, 0 = -4*x - 2*l + 494. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0 (b) -0.05 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - k - 10, 2*u = 3*k + 21. Let h(m) be the second derivative of m**2 + 2*m + 0 - 1\/10*m**5 + 1\/2*m**4 - m**u. Find z such that h(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(19*(-33)\/(-1463)*14\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24624 - -1) + -9 + -23?\nAnswer: 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) 6 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/20 - y**4\/12 - y**3\/6 - y**2 - 48*y. Let s(l) = l. Calculate -4*s(o) - t(o).\nAnswer: 3*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 16) to base 15\nAnswer: -9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151273747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 575 - 2877\/5. Which is the biggest value? (a) 4 (b) m (c) -10\/43 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -88*w - 3. Let c be z(1). Let x be c\/(-26) - (-1)\/(-2). Is 4668\/x + (1 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 4, -19, -5 in increasing order.\nAnswer: -19, -5, 4, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-2 - (0 + -1)). Let b be -1 + i - -3 - 2. Suppose 3*x - 4*x + 12 = b. Solve 2*t + 5*s - 1 = -x, 4*t - 11 = s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:27 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3826147168?\nAnswer: 2, 53, 59, 38237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, 0, 45, 415, -1\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3130095 divided by 3\nAnswer: 1043365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 408, 1169, 1930?\n\"Answer: 761*k - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 86 = 22*i + 163 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336645879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -44\/13, 0.05, -1\/2, 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1574617, -3149233, -4723847, -6298459, -7873069?\nAnswer: -9447677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + 58\/6. Let x = 52 + l. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(972))\/(sqrt(108)\/sqrt(2)) + 0 + sqrt(2)*-2 + ((sqrt(2) + -4*sqrt(2))*-3)**2 + -5.\nAnswer: -5*sqrt(2) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139897372.\nAnswer: 2, 1427, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10165951 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -1, 4, 0, 7 in ascending order.\nAnswer: -1, 0, 2, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6852747 = 6852747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -14. What is the lowest common multiple of f and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*f - 24, -4*i + 27 = 5*f - 3. Suppose f*h - 19320000 = 16*h. Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let l = -0.7 - x. Let c = 4.9 - 5.4. Sort l, c, -0.1.\nAnswer: c, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 481118 by -481118.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9*-1)\/((-934)\/(-16812))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 4*k - 14, -2*g - 236*k + 10 = -237*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 1\/4, -4, -235, 2\/53, 1 in increasing order.\nAnswer: -235, -4, -0.08, 2\/53, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.8 from 0.005.\nAnswer: -18.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 divided by -23173.\nAnswer: -191\/23173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197 + -21501a8?\nAnswer: -2150011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 35*n**2 + 155*n - 6. Calculate y(2).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(1872) + 0)**2 - sqrt(1872)) + (sqrt(1872)*-2)**2*5)*-1.\nAnswer: -39337 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 8*g - 5. Suppose -5*z + 4*h + 34 = 0, 3*z + 0*h - 26 = h. Let a be r(z). Let y be 48\/a - (-3)\/(-15). Solve -6 = s - y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.3 + 3.7. Let p = 0.0043 + -0.0343. Is j >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r - 1. Let n(l) = 28*l + 2. Let y(h) = 7*d(h) + 2*n(h). Suppose -9*u + 9 = -12*u. Give y(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - j + 57 = 7*c, c + 2*j - 16 = 0. Sort -24, 3, c, -5.\nAnswer: -24, -5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 51066 = 2*i, 3*i - 2162*r - 76569 = -2160*r. List the prime factors of i.\nAnswer: 3, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6) + (-1)\/4 + 6\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650291285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 2. Let b be l(4). Let d(o) = 37*o**2 - 82*o**2 + 48*o**b. Let y(a) = -3*a. What is d(y(g))?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23651 and 84889?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in 2\/7, 4\/3, 9, -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**3*s**2 - 7*n**3 - 11*s**2 - 79*s + 324 wrt s.\nAnswer: 8*n**3*s - 22*s - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:28 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231272856?\nAnswer: 2, 59, 1951, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = 0, -5*g + 3167 = 2*r + 2*r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81798 is divided by 7427.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/64 and 21\/92.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/404251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 45688 + 91455 - 45767 + 3*a**2 - 3*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w + 120*w = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Solve -2 = j*s - 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -18*q**5\/5 - 2*q**2 - 14*q + 49. Find the second derivative of f(p) wrt p.\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227\/2835 + 40434169\/5670. Let b = -7113 + q. Let t = -11\/82 - 4277\/820. Calculate the common denominator of b and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704b6 (base 13) in base 7?\nAnswer: -4601525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/525*-7 - 1\/((-3)\/(-5)). Put -2, 23, -6, n in descending order.\nAnswer: 23, n, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4189 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ce773 (base 16) to base 3\nAnswer: 1120222001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1. Let r(v) be the first derivative of v**3\/6 - 5*v**2\/2 - 118*v + 62. Let l(n) be the first derivative of r(n). Determine -6*h(s) - l(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 16*m - 15*m. Let l(u) = u. Let k be l(m). Suppose -14*q + 580 = -k*q. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/1 - 1. Let d be -1 - (0 - (3 + s)). Suppose n - 6 = -d*n. Solve 0 = -5*q - 0*x - x + n, q + 4*x + 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/7 + 124*h**3\/7 + 2880*h**2\/7 + 29700*h\/7 + 114750\/7.\nAnswer: 2*(h + 15)**3*(h + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - -23)\/((-15)\/1780*-4). Solve 66 = h*a - 968*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/4284 and -23\/6732?\nAnswer: 47124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 + 286*m + 1422. What is f(-5)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115319 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -53. Let s(b) be the third derivative of b**2 + 0 + 0*b - 1\/120*b**6 + 0*b**i - 1\/24*b**4 - 1\/2*b**3. Give s(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - 3242a7c?\nAnswer: -3242a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20116736 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - 3*a**2 - 21*a + 22. Let h be l(1). Let r = -19 - -8. Let b be (-1 - -1)\/(r\/(-11)). Solve 2*m - 2 - h = b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j - 1215. Let x(b) = 28*b + 2433. Determine -5*l(q) - 2*x(q).\nAnswer: -q + 1209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-12)\/4*-2. Suppose -b - 3 = v. Let m be ((-4)\/6)\/((-6)\/9). Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-24))\/(u*u\/((u\/(u\/(u*u*u\/u**(-2\/85)))*u)\/u)) assuming u is positive.\nAnswer: u**(2212\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -314, -4825, -12342, -22865?\n\"Answer: -1503*p**2 - 2*p + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-10))\/(501\/8350). Solve 18*c + i = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let o(f) be the second derivative of f**3\/3 + 271*f. Give o(z(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47566 or -47571?\nAnswer: -47571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -903\/5 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130\/7 in -3, -22, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*a**3*q**2 - 6*a*x - 7*q**2 - 14*x wrt a.\nAnswer: 45*a**2*q**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 79 = -m - 69, -3*m - 3*v = 444. Let l be 301\/(-903) + -1 + 880\/(-6). Is l >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Suppose 0 = 2*i + i. Let p(q) = 4*q**2 + 5*q**2 + i*q**2 - 4*q**2. Give p(c(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 16*c**2 - 20*c - 23. Determine l(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418539 and 546522?\nAnswer: 3459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -719*t + 2730. Give g(3).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/3 (b) -3 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 88*q**2 + 1206*q - 14. What is the hundreds digit of t(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine quarters of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y = 48*y - 1160. Find the first derivative of -225 + 477 - y + 18*t**4 wrt t.\nAnswer: 72*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2009.29 to the nearest 10.\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 4 (c) -1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 317, 674, 1269, 2102?\n\"Answer: 119*g**2 + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 11 + 86*b + 1 to k + i*b and give i.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11 - 1077*n + 1074*n + 2*n**2 + 3*n**2. Let c(f) = 3*f**2 - 2*f + 6. Suppose 20 = y - 4*k, 6*y - y + 3*k - 8 = 0. Determine y*t(i) - 7*c(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*l + 35. Let o be -4*(-237)\/12*1. Let c = -69 + o. Solve 2*s - l*s = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(7\/6)\/(s\/s**6))\/(s**(-1\/12)\/s*s**(-30)))**(-7\/6) assuming s is positive.\nAnswer: s**(-1043\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4 + 13\/(-4). Let w be 3*(-3)\/36*2. Let q = 1.3 - 6.3. Which is the nearest to u? (a) q (b) 1.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293 + 542 - 432)*(-13*v + 21 - 35 + 16).\nAnswer: 2379*v - 366","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 3*2\/(-3). Which is the nearest to 0.3? (a) 1\/3 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 0*c**2 - c**2)*(0 - 3 + 2).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, -54, -1082 in ascending order.\nAnswer: -1082, -54, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 771 - 650. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 20. Let p*w**2 + 0*w**2 + 14*w - 7*w**2 - 16 = 0. What is w?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 3\/4*j**4 + 13*j + 0 + 0*j**2 - 7\/10*j**5 + 0*j**3. Find the third derivative of r(i) wrt i.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.32 or 9?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*l - 10 + 127 = 0, -2*k - 5*l + 159 = 0. Calculate the greatest common factor of k and 7866.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78474 is divided by 304?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-1352)\/(-16)) + (-150)\/39\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 1 = -10. Differentiate -w - 383*g**4 + 393*g**4 - 11 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a + 2. Calculate the remainder when -15*((-19)\/15 + 6\/(-15)) is divided by a*(30\/(-4) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**2. Let c(d) be the third derivative of 4*d**5\/15 + 149*d**2. Determine r(c(m)).\nAnswer: 2816*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let m(y) = -76 + 3*y**2 + 76. Calculate r(m(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1210062 and 117453?\nAnswer: 143997378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-12 - -19) - ((-21 - -16) + -54)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 314.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21340 is divided by 2943?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23080 and 2874614?\nAnswer: 57492280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 - 4*q + 2. Let j = -10 + 12. Let l be z(j). Factor -l*i**2 - 3 + i**4 + 3*i**3 - 2*i**3 + 3.\nAnswer: i**2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/4 (b) 87 (c) -15293 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/43 in -0.24, -16, 4\/7, 2\/11?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**34*f**(5\/9) assuming f is positive.\nAnswer: f**(311\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -u. Let h(m) = -u - 5*m + 4 + 4*m. Let k be 3 + 0\/(-2*2). Determine h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + 3 + (sqrt(19) + -2)*3 + sqrt(19))**2.\nAnswer: -40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.192 + 0.092. Let y = -394\/35 - -76\/7. Put -15, y, p in descending order.\nAnswer: p, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 31*v - 62. Give r(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/31770 and 5\/79461?\nAnswer: 280497330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v = 117*v - 44*v - 32. What is the smallest common multiple of v and 1326?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -21*h**2 - 1445*h + 95. Calculate t(-69).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 f when four letters picked without replacement from ffhffffhffhfffhffffh?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thheehjzej. What is prob of sequence ht?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2)*(7 + -2). Suppose 0 = -3*t, 4*z + z - n*t - 10 = 0. Let o be (8\/(-6))\/(z\/15). Which is bigger: o or -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26555107 and 1.\nAnswer: 26555108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 698165586 to the power of 1\/4, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from bbf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*f - 280*f + 30072 = -567*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 547255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*v - 178*v - 972 = -48*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 9. Let x be f(13). What is the second derivative of 26*j + 33*j - j**x - 42*j wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675) + 4)*2 + 5.\nAnswer: 13 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83612, -133, -25 in increasing order.\nAnswer: -83612, -133, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3094 - -3118. Solve 0 = r*i - 35*i - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 15. Suppose -17 = 2*u + w. Let d = -5 - u. Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, p: 9, y: 1, n: 2}. Give prob of picking 3 p and 1 n.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17 + 16 - -1*3. Calculate the common denominator of -43\/14 and -2 - m\/(24\/213).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*v + 136*v = 3610. What is the greatest common divisor of 270 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/((r\/(r**11*r))\/r)))\/r**(-16\/7))\/(r**(-1\/6))**(3\/7) assuming r is positive.\nAnswer: r**(-121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 9, s: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -393, 9, -5 in decreasing order.\nAnswer: 9, -5, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) + sqrt(36)\/sqrt(4)))**2 - sqrt(68)*-1.\nAnswer: 17\/4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -1\/6*h**3 - 5*h + 0*h**2 + 0 - 1\/10*h**5 + 0*h**4. What is the second derivative of u(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*i + 3*h + 253, -h = -4*i + 312. Calculate the least common multiple of i and 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 36, 73, 116, 165?\n\"Answer: 3*k**2 + 22*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxxi when four letters picked without replacement from {g: 4, x: 7, i: 6}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*k**2*l + 2*k**2 - 3*k*l + 51*k - 6*l + 31 wrt l.\nAnswer: 11*k**2 - 3*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3*t + 11, -6*b - 30 = -3*t - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -576051334122 and 0.0151.\nAnswer: -576051334121.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -269\/8, -5, 0.5, 0.4 in increasing order.\nAnswer: -269\/8, -5, -2.6, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -388 - -393. Suppose k - 3*k - l*g + 10378 = 0, 4*k - 20756 = 6*g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612559357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 44. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/35 + ((-10266)\/(-252))\/29. What is the nearest to -1 in d, 2\/9, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20679833, -20679827, -20679821, -20679815, -20679809, -20679803?\n\"Answer: 6*f - 20679839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94707656, 189415305, 284122954, 378830603, 473538252, 568245901?\nAnswer: 662953550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 - 252 = -8*m + 262. Put -3, 0.032, m in descending order.\nAnswer: 0.032, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27664 and 515641?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:26 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -49.83?\nAnswer: -48.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-189)\/(-9) - 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 6 = -8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 7984?\nAnswer: 7983.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 0*q**4 + 0*q + 0*q**3 - 1\/12*q**6 - 4 + 0*q**2 + 1\/10*q**5. Factor t(p).\nAnswer: -p**4*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.45 - -34.95. Let x = -39 + m. Let n be ((-3)\/9)\/((-2)\/6). Which is the third biggest value? (a) x (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14742816.\nAnswer: 2, 3, 11, 23, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2023, -4066, -6127, -8206, -10303?\n\"Answer: -9*n**2 - 2016*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 67. Suppose 3*u = 3 + 6. Suppose -25*h - u = -b*h. Is h at most -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/196387?\nAnswer: -2\/196387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, f: 6, u: 1, v: 1}. What is prob of sequence frr?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*l = -2*o - 676*l + 29, -6*l + 4 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-12)\/168). Let n be (-6)\/(((-6)\/56)\/1). What is the greatest common divisor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 13*k**2 + k**3 - 5*k**3 + 3*k**3 - 13*k**2.\nAnswer: -k**3 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*v - 3 + 1 - 1.\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -36*q**2 + 9*q - 5. What is s(2)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 2*t + (-2 - 4 + 2)*(2*t + 0*t - 4*t) - 4 + 4*t + 4)*(-6*t**2 - 2*t**2 - 2*t**2)*(-3*t + 6*t - 2*t) + 3*t**4 + 0*t**4 - 2*t**4.\nAnswer: -99*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523435, -1046862, -1570293, -2093728?\nAnswer: -2617167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 4*g + 1. Let c(x) = x**3 - x**2 - x - 14. Let t be c(0). Let u = t - -10. Let v be o(u). Which is smaller: v or 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*l + 240, f = 4*l + 34 - 6. Suppose f + 306 = 5*v. Suppose 0 = 5*j - 20 - v. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4 = g, -g + 2*a + 19 - 23 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/12 - r**4\/24 - r**3\/6 + 5*r**2. Let w(j) = 6*j**2 - 1. Let l(n) = 5*p(n) - 4*w(n). Suppose c + 3 = 7. Calculate l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369494 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: Calculate (-3 - (-12 - 4)) + (21 - (-9 - -55)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:05 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -0.12 (c) 1\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.43, -1\/6, -5 in descending order.\nAnswer: 25.43, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*2)\/sqrt(11))**2 - sqrt(19)) + 4 + ((-3 + sqrt(19))**2 - sqrt(19)).\nAnswer: -8*sqrt(19) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439513\/60 - -7325. Calculate the common denominator of -101\/60 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqhqhqqqqqqqhqhqqqq?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94471 by -947.\nAnswer: -94471\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 50 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -34 (b) 5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 53120.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 13*y**2 - 12*y + 12. Let u be -6*1 + ((-1445)\/187 - 3\/11). Calculate i(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250705 and 65?\nAnswer: 250705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019364753 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 30256028\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 986340 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 131.5 from 0.5.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 - 10100000?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2566, -2565, -2564, -2563, -2562, -2561?\n\"Answer: k - 2567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = -25. Let b be 3\/2*o\/(-18)*35. Calculate the highest common divisor of 14 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from qqqqyyqqqyq?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -171 and -17?\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**5 + 4*v**5 + 2*v**5 + 7*v**2 - 2*v**2 wrt v.\nAnswer: 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 2 - (-4)\/2. Let k be ((-84)\/(-15) - -2) + 100\/250. Solve 2 = h*v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 2*g - 181 + 157, -g - 18 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -81\/2. Let t(l) = l**3 - 8*l**2 + 7*l + 2. Let i be t(7). Let s be (-1 - -3)*(-1)\/i. Is j greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11419 or 11413?\nAnswer: 11413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3 - 7. What is the third derivative of p**2 - p**5 - 3*p**4 + 3*p**4 - 3*p**u wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w**(-2\/9)*w)\/w**12*(w**(-4)\/w*w**(-5))**(-15\/8) assuming w is positive.\nAnswer: w**(415\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 304209, -0.3, 2\/15?\nAnswer: 304209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8*m + 28 = 0. What is the units digit of 71 - (2 - -2)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*f - 0*f. Calculate the highest common factor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5493.1 (b) -0.6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -164*q + 162*q. Let x be 18\/(-15)*(-40)\/6. What is the greatest common divisor of x and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10338*z - 41393. What is d(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 16, 0 = -h + 3*w - 5 - 3. Solve -a + 3*a = -5*s + 3, h*a - 14 = -2*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let z(t) be the second derivative of -3*t**3\/2 - 3*t**2\/2 + 4*t + 1. What is p(z(g))?\nAnswer: 18*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2700 = 2*y - 5*a, -y - 2*a - 4050 = -4*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1206)\/(79*53\/37683)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 11. Let a = -11.1 + i. Let p be 4\/10 + (0 - 1). Is p at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 50. Suppose 0 = 12*r - 3*r - 216. Let j be v(r). Which is the second biggest value? (a) j (b) -4\/13 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-15) + 6)*(-27)\/2. Let q be (d\/(-30) - -1)\/((-8)\/10). Suppose 5*o + 9 = -3*v - 13, 2*o + 4 = 0. Is v > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10 + 16 - 46*m.\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 19*f. Let q(u) be the first derivative of u**2 - 16. Determine s(q(w)).\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y**(-2)*y)*y)*y)**3*(y**1)**(-28))\/(y**(-2\/7)\/(y*y\/y**(-3\/4))*y**(-1\/8)*y**(-1\/5)) assuming y is positive.\nAnswer: y**(-6899\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2267 and 0.3?\nAnswer: 680.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262\/145 - 8\/5. Which is the second smallest value? (a) z (b) -4\/3 (c) -3\/2 (d) 1\/3 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*j - 17, -b - j - 4*j = -9. Suppose 0 = -r + 5*t - 20, 20 = r + b*t + 4. Solve r = -7*o + 2*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31214656*s**4 - 178232442.\nAnswer: -124858624*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 8*k + 1. Let u(h) = 6*h**2 - 23*h - 3. Let i(x) = 17*r(x) + 6*u(x). What is the remainder when i(3) is divided by (9\/(-15))\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27089.\nAnswer: 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721242*l = 721311*l - 4899 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1406*-0.003\nAnswer: -4.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 13 = k - 3*x, 4*x = -8. What is the closest to -9 in k, -1, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2633587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 11:21 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806 divided by 2.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10 and 25\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004437754 to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 2, -0.3, 0.91?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.18, 0 in decreasing order.\nAnswer: 0.4, 0, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 142, 89, -94, -485, -1162?\n\"Answer: -13*p**3 + 13*p**2 - p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74101\/22 + -3365. Let f = -87\/133 + -10793\/1596. Find the common denominator of a and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*t + 5*n, 4*n + 2 = -2. Suppose -3 - 5 = -t*w. Solve -w*b = -3*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*h - 55*h - 14*h)*(-15*h**2 + 42 - 42) + 3*h**3 - h**2 + h**2 to n + k*h**2 + v*h + t*h**3 and give t.\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167\/12 + 41\/3. Let h = 0.052 - 0.032. What is the third smallest value in h, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -932 + 1461931103.\nAnswer: 1461930171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1456 + 1456. Let l(p) = 8*p - 2. Calculate l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9687 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/18*1 - (-5088)\/864 - -16. Let n = -115 - -71. Let a be (1 - -2)*n\/(-2). Calculate the highest common divisor of b and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 35\/15 - -4. Let j be 7\/(-2)*(-42)\/147 + 54\/(-27). Which is the third smallest value? (a) -275 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*b + 5*r + 15, -5*b + 2*r + 10 = 0. Solve -b = -3*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k**6\/24 - 37*k**3\/3 + 219. Let n(j) be the third derivative of o(j). Let a(u) = u. Calculate n(a(b)).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 4784\/1097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1587dd (base 15) to base 4\nAnswer: -3332032003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11*z - 11. Let u(h) = 5*h + 5. Let m(j) = -4*i(j) - 9*u(j). Let s be m(-2). Which is greater: s or 1\/12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (453*k**4 + 29303718*k**3 + 9*k - 29303718*k**3)*(-2 - 3 + 3)*(4 - 3 + 2).\nAnswer: -2718*k**4 - 54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let k be x(-2). Let s be 8\/k - 2\/((-42)\/(-3291)). Let d = -161 - s. Which is the second biggest value? (a) 3 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6002*f - 53*f**2 + 1 - 47*f**2 - 6002*f to j*f + m*f**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 379*r**3 + 3*r**2 - 7*r + 113. Let s(a) = 126*a**3 + a**2 - 2*a + 38. Let n(y) = 4*f(y) - 14*s(y). Find the first derivative of n(w) wrt w.\nAnswer: -744*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from oipjs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -39 - -23 - (2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06833904305 rounded to four dps?\nAnswer: -0.0683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x - 4*h - 440 = 0, -240 = -x - 2*h. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*c + 118 + 64 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20279 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s + 16*s + s**2 as z*s + k + a*s**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 6. Let s be 6\/9*(-13 + 1). What are the prime factors of r(s)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45.1957 + 0.8043. Which is the smallest value? (a) 26 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(13\/13)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*l - 3 = 0, -3*l = -3*x - 2*l + 1. Suppose -4*b + 2*h = 5*h - 50, x = 3*h + 6. Solve 2*k - 4*k + 2*n - 10 = 0, b = -2*k + 4*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*u + 264*u - 871*u + 18788 = 0 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -749, -970, -1193, -1418?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024447 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1012, 11530, 40068, 95632, 187228, 323862, 514540, 768268?\n\"Answer: 1501*j**3 + 4*j**2 - j - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67259, 134520, 201781?\nAnswer: 269042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 18 + 6, 6*l = -u - 3696. What is u rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 58.\nAnswer: -21\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z - 3*z + 2*z + 40. What are the prime factors of d(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i - 75. Calculate b(-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159307, 317034, 474761, 632488?\nAnswer: 790215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3097771 - 3097738. Let a(n) be the second derivative of n**4\/4 + n**3\/3 + n**2\/2 - n. Calculate the remainder when a(-6) is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 95.32038224324?\nAnswer: -100.32038224324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1656+-27\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 381368112*d*q + 617317785*q wrt d?\nAnswer: 381368112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 47906*y + 670886. Give f(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 152*j - 726. Calculate i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2394772 by -2.\nAnswer: 1197386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 7565 (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 2. Let h(i) = i**3 + 17*i**2 + 17*i + 10. Let y be h(-16). Determine r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.041 + -0.04072. What is g rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110445500 (base 7) in base 3?\nAnswer: -110112201120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (-5 + 5 + 5). Let k be (-8)\/(-10) - 7\/(-35)*o. Suppose -2*m + 1 + 0 = -h, -2*h + 3*m + k = 0. Solve -2*s = -3*t - 4, 1 = -4*s + h*t + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1500*m**4 - 35*m**2 + 19*m - 1.\nAnswer: 36000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 1325, 2940, 5189, 8072, 11589?\nAnswer: 15740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/21 + 4053428*d\/21 - 4053430\/21.\nAnswer: 2*(d - 1)*(d + 2026715)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 7. Let k be i(6). Let o(m) = m**2 - 4*m + 1. Let y be o(k). What is the common denominator of -49\/3 and (-18)\/(-42)*76\/y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 7*g**2 + 9*g + 20. Let p be a(-8). What is the least common multiple of 5 and p\/(-32) - 2\/(-16)*163?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5)*2)\/((-195)\/(-325)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4 - -5) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213313 (base 6) in base 5?\nAnswer: 1030423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -9 - (0 - (3 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 872 + -1273. Let m = s + 403. What is the biggest value in 0.5, 7.4, m?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139490263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 + 12*v**3 + v**3)*(0 - 3 + 5)*(0 - 1 + 0) in the form h*v + y*v**3 + r*v**2 + w and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -174, -247, -318, -387?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 411 + 183. Suppose -4*j + g = -53. Calculate the lowest common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2\/7 - 740*k\/7 + 12144 = 0.\nAnswer: -462, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(120\/39 - 3). Let y(c) = -c - 8. Let m be y(j). Suppose 5*i - 17 = -3*w, -2*i - 15 = -m*w + 3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 1)*(3 - 3 - 2*l**4) + l**4 - l**4 - l**4.\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -27, 1\/2 in increasing order.\nAnswer: -27, -3, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -86*c**3 + 3*c**2 - c - 1. Is d(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*i - 3*j - 26 = 120*i, -5*i = 2*j - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*s + 5353 = -s, 3*q - 5355 = 3*s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 10, d: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -1 + 9, -2*i + 2*o = 0. Suppose 5*g = 2*k + 115, 3*g - 31 = i*g + 2*k. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880032731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*4 + sqrt(704))*-2*2)**2.\nAnswer: 281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2831*x - 959*x - 946*x - 929*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f + 242. Let p be v(-20). Let l(m) = -2*m - 4. Determine l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*o - 30, -469*o + 24 = -466*o + 4*i. Factor 0*h**2 + 0*h + o + 6\/5*h**3 - 21\/5*h**4.\nAnswer: -3*h**3*(7*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -763 (base 13) in base 5?\nAnswer: -20024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + a + 3)*(-2*a**4 + a**4 + 3*a**4) - a**5 + 2*a**5 - 7*a**5.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + (3 - 5) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4721110847 - -493.\nAnswer: 492.5278889153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 103. Let k be (-15)\/9*(-2 + 17)\/w. Solve k*f = -5 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 - 108. Calculate the smallest common multiple of 3 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -159, -713, -1645, -2961, -4667, -6769, -9273, -12185?\n\"Answer: -t**3 - 183*t**2 + 2*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 121, 259, 397, 535, 673?\n\"Answer: 138*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 10:24 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (9 - 6) - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -432, -410?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3399\/8270 or -1?\nAnswer: -3399\/8270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 10*u + 15. Let w be c(-12). Suppose 0 = -5*x + w - 4. Suppose x*l = 2*l + 170. What is the greatest common factor of l and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 21 = -0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)**(3\/25)\/(t**(-5)\/(t\/t**3)))**(-29\/5))**(-1\/2) assuming t is positive.\nAnswer: t**(1044\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(168)\/sqrt(4))\/((sqrt(6)*2 - sqrt(6))*-1) - (sqrt(140)\/sqrt(4)*6)\/((sqrt(200)\/sqrt(4))\/sqrt(10) + sqrt(5)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24116.1612 to 0 dps.\nAnswer: -24116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10834 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 = 3*c + 5*j, 3*c + 5*j - 7*j - 811 = 0. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 5*h**2 + 6*h. Let q be c(4). Calculate the lowest common multiple of ((-6)\/(-2))\/(27\/18) and (1 - 21)*(-4)\/q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 383 = 103. Suppose z + z = v. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 6, -2749, 3 in ascending order.\nAnswer: -2749, 3, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2 + 2*r**2 + 10*r**6 - 10*r**2 wrt r.\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-966)\/154*(-4)\/6 + -3. Is k greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16502814?\nAnswer: 2, 3, 37, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -23, -29, -33, -35, -35, -33?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*y + 16 = 0, -23*u + 28*u - 5*y - 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3379, 6296, 9225, 12172, 15143, 18144?\nAnswer: 21181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 6 = 4*r - 3*j, 0 = -3*j - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -94779 (c) 0.5 (d) 5 (e) 1\/3 (f) 4\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/40 + 1\/8. Let n = 0.5 + -0.6. Let k be ((18\/(-15))\/(-3))\/(-1). Which is the biggest value? (a) k (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2. Let a(c) = -3*c + 4*c + 6*c + c. What is w(a(q))?\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-8))**(-14) assuming s is positive.\nAnswer: s**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = 12*g - x - 310, 16*g - 79 = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017, 1018, 1019, 1020, 1021?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1 - 12*z - 2 + 2 + 5. Is b(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 10. Let d be c(2). Solve -4*f + 4 = d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 + 2*t**2 + 2*t + 1. Let b(v) = v**3 + 3*v**2 + 2*v - 1. Let a be b(-2). Let d be p(a). Suppose -120 = m - d*m. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 1\/3*o**3 + 4*o**2 + 0*o - 1. Let t be j(-8). Solve -2*u + t + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**24*m**(-13)*m\/((m*m\/(m**(3\/5)\/m))\/m) assuming m is positive.\nAnswer: m**(-547\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*m**4 - 16*a**3*m + 124*a**2*m**5 - 3*a**2*m**2 wrt m.\nAnswer: -48*a**3*m + 7440*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24325369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 + 2*r**2 + 9*r + 3. List the prime factors of o(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-4)\/(-2 - -1). Let x(w) = w + 1. Give x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from pwppewppm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5178.421 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1014020224 (base 5) to base 16\nAnswer: -1ff7d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9968555215030 minus -0.2?\nAnswer: 9968555215030.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 315. Let t be s(53). Let w be 4 - 0*(1 - 2). Solve -w*b - m - 4 = 0, m + t*m = 3*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 29\/3, -92185?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(26\/8*6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llzllzlzlzllllzllll?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 0.001?\nAnswer: 0.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f. Let i(y) = -12*y + 75. Give r(i(x)).\nAnswer: 156*x - 975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 23*y + 212. Determine h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/5 and -48\/9193.\nAnswer: 45965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29952 and -3.\nAnswer: -89856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + 1)*(-28)\/(-6). Suppose 4*n + p = 2*n. Let s = 18109\/6 - 3007. Calculate the common denominator of n and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -71, 96, -0.2, 2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 134 = 7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 82084.\nAnswer: -5\/82084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 + 3*l**2 + 7*l + 2. Suppose h - 4 = 2. What is the remainder when 12 is divided by s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 138 (b) 3\/5 (c) -2\/5 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38bb - 1?\nAnswer: 38ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307*l - 15892 + 59023 = 0 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 16. Determine p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -37. Let u be -25*(8 + d)*296. Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x + 1. Let p(u) = 3*u**2 - 9*u - 2. Give -2*f(j) - p(j).\nAnswer: -j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1224060 (base 9) to base 6.\nAnswer: -22133343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmhm when four letters picked without replacement from hkqmmmkqkmmqqmkk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 53674628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 84626 (c) 0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -14736, -2, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/38904379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*p = 70 - 22, -2*p = 5*m - 95. Let b be 30*(14\/m)\/1. Calculate the greatest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252341565?\nAnswer: 3, 5, 7, 19, 126487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 32*h - 348. Let c be b(11). Let g(x) be the first derivative of 6*x + 1\/2*x**2 + c. Determine g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-171)\/(-13) + (-6)\/39 - -2. Let a be (10\/l - 0)*15\/2. Is 5 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let d(p) = -p + 16. Calculate -d(f) - 2*t(f).\nAnswer: 3*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = t + 4*o + 18, -11 = 2*t - 1644*o + 1647*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1430 and 23\/5434.\nAnswer: 27170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2010410 and 233006519.\nAnswer: 2330065190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*m + 17*m - p + 3, 3*m = 2*p + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 436, 0.5, 6, -18\/29, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.06, -3, -4, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*m - 1873 = 0, 2*m - 3 = -9. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - y)*(-12*y**3 + 16*y**3 - 2*y**3 + 6*y + (-3*y + y + y + (3 - 3 - y)*(-1 - 2 + 1) + 2 - 2 + y)*(-3*y**2 + 0*y**2 + 4*y**2)).\nAnswer: 4*y**4 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 4*t)*(8*t + t - 3*t) + 5*t**2 + t**2 - 4*t**2 + 3 - 3 - 2*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14685 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 at least as big as 4594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6701 or 6700?\nAnswer: 6701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x**(-1\/13))**(3\/2)*((x*x\/(x*x**(2\/5))*x*x*x)**(-3\/16))**(-4\/3) assuming x is positive.\nAnswer: x**(717\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 1038*f - 52204. Determine n(53).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 65*n - 7. Let m(j) = -66*j + 5. What is 4*m(r) + 3*q(r)?\nAnswer: -69*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:44 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 46 = 5*g - 3*u, -43 = -5*g - 2*u. Let d = g + -10. Which is smaller: d or -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 + 55*t**4 - 40*t**3 - 100*t**2 = 0. Calculate t.\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o, -2*s - 3*o = s + 12. Let w(t) = t + 4. Let h be w(s). Let f = 3 - 1. Solve -5*r + 7 = 4*u - f*u, h = 5*u - 5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 6*h + 7. Is w(-5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 16. Let n be q(-11). What are the prime factors of 104 + (-4)\/(n - 1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 10, d: 6}. What is prob of picking 1 o and 1 p?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.0259, 2, 0.0115?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = 9 - 77. Put -44, x, -4 in ascending order.\nAnswer: -44, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 + -202\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10)*12\/2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 8*b**2 + 2*b. Let j(h) = 11*h**3 + 16*h**2 + 4*h. What is -4*j(t) + 9*p(t)?\nAnswer: t**3 + 8*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 4, f: 7}. Give prob of picking 2 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*z - 89*z = 532. What is the greatest common factor of z and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 9. Let z(f) = 5*f - 13. Let k(a) = 8*o(a) - 5*z(a). Give k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -22*a + 27*a - 60 + 68, -4*a - 12 = -4*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiiqqi. Give prob of sequence qq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 132.6 (c) -1\/19 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1521302 + 22?\nAnswer: 1521324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.9 - 6.9. Let v = 21\/8 - 79\/24. What is the nearest to l in -2\/19, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = 5*k, -4*o + 5*o = 5*k + 14. Suppose 3*z - 5*z = 0. Solve z = 5*b - 5*r + 20, -8*r + o*r - 4 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(-3*3\/(-27))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 218. Suppose 0*l + t = 2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 16*i - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4049 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2033620 (base 7) to base 8\nAnswer: 734176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -482, -126, 232, 592, 954?\n\"Answer: g**2 + 353*g - 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02233 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024189?\nAnswer: 419, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 1, 276, 0, 3 in decreasing order.\nAnswer: 276, 3, 1, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*i - 21 + 33, 3*i + 9 = -2*g. Solve g = -174*t + 178*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + -8 - -1 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106, 108, 110, 112?\n\"Answer: 2*p + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/4 (b) -0.1 (c) 4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/30243229 and 22\/1364079.\nAnswer: 3356998419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23511 + -23461. Solve -70*n - v = -60*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 13. Let z(w) = -w**2 + w + 123. Let c be z(12). Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21223 - 77272 - 47533 + c**2.\nAnswer: c**2 - 146028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5416065383 to the nearest one million.\nAnswer: -5416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -49*w**3 - 3*w - 1. Is a(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Let x be n\/4 - (-23)\/2. Let j = x - 5. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 849 = 5*f. Let a = f - 65. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2 - 5*y. Let m(s) = -5*s**2 - 4*s. Let b(p) = 5*m(p) - 4*o(p). Let w(x) be the second derivative of -2*x**3 - 335*x. Determine w(b(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 8*z. Put 2\/3, z, -0.1 in descending order.\nAnswer: z, 2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/(w\/(w**(-2\/7)\/w))*w)\/w*w*w*w**6)**(2\/81) assuming w is positive.\nAnswer: w**(122\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -1.723, 0.1, 5 in descending order.\nAnswer: 124, 5, 0.1, -1.723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 985\/12 - 82. Let j(l) be the second derivative of 3*l - 3\/20*l**5 - s*l**4 + 0 + 0*l**3 + 0*l**2. What is the third derivative of j(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c + 2. Let f be b(5). Factor 2 - x**2 + x + 0*x - f*x.\nAnswer: -(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 192298121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 308, 701, 1252?\nAnswer: 1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from vsnxr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -588205\/3 or -196068?\nAnswer: -588205\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (0 + 1\/1). Let p = -2 + -3. Which is the closest to 1\/4? (a) p (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20143*o + 2094862. Determine m(104).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439093273 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28827871 + 8876969. Let j = -19950900.8399839 - s. Let w = j - 1.16. What is w rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 2*n - n + (-n + 2*n + n)*(-2 + 0 + 0) - n - 1 + 1 + 0*n - 2*n + 0*n - 207*n - 43*n + 63*n - 501*n.\nAnswer: -697*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5939 (base 12) to base 10.\nAnswer: 9981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*n**3 + 15*n**3 - 20*n**3 + (2 + 4 + 3)*(1 - 1 - 7*n**3).\nAnswer: -98*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - x - 22, c - 21 = -3*x. Suppose 0 = c*a - 6530 - 3001. Is 56 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17803746 divided by -8766?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -86, -97, -114, -137, -166?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 - 221. Let x(w) = -2*w - 2*w - l*w + 12*w - 3. Let q(j) = -5*j + 2. Give 7*q(p) + 6*x(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -98.1\nAnswer: 21.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2127 + -1346. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-990)*(-9)\/6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, a: 5}. What is prob of picking 1 b and 2 a?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftlhhfflfghhhlq. Give prob of picking 1 f and 2 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 2484\/180)*(-2 - 4\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 137*q - 3950. What is p(29)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276953?\nAnswer: 7, 239, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 plus -46468666?\nAnswer: -46469158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79789884 and 14084.\nAnswer: 558529188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -52 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 126, 183, 276, 405, 570?\n\"Answer: 18*k**2 + 3*k + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4008*x**3 - 8091*x**3 + 4086*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2*b)*(3 + 0 - 5) - 4*b + 2*b - 2*b)*(-2*b**3 + b - 4*b + 2*b).\nAnswer: 16*b**4 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690, 1690, 1692, 1696, 1702?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + ((-119)\/98 - -1). Let r = -15.8 - -13. Let y = r + 3. Which is the third biggest value? (a) p (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-3)\/6*6. Suppose p = -4*c - 10 + 2. Let r = 4 - 4.3. What is the third smallest value in r, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53543\/9 + -5949. What is the nearest to 0.02 in 6, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 1101*i - 1098*i + 3 - 4 - 2 = 0, 0*i + 2*i - 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.78885 - -1.063. Round c to three dps.\nAnswer: 0.274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txo. What is prob of sequence to?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let i(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + 3*y**2\/2 - 2. Let p be i(3). Let f(z) = p*z - 4*z + 2*z - z. What is d(f(c))?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w + 80 = 0. Let a = -5461 - -27306\/5. What is the smallest value in w, 2, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -180 and -4903749.\nAnswer: -4903929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 805410318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -588265 smaller than -588261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/11)*n*n**(-1\/2)*n)\/(((n\/(n*n**(-4\/7)*n*n)*n*n)\/n)\/n)**(2\/31))**(-23\/4) assuming n is positive.\nAnswer: n**(-304589\/19096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -140835?\nAnswer: 140831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:18 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658945 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Let a be (((-70)\/(-21))\/(-1))\/(2\/(-6)). Suppose -w*f + f = -a. Solve y + y = -f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 15*p + 30. Let k be t(3). Let z(i) = -i**3 - 5*i**2 - 2*i - 9. Determine z(k).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let z = -37599 + 37603. Which is the third biggest value? (a) z (b) -0.5 (c) v (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2. Let j(a) = 253 + 261 + 261 - 1035 + 258 + 248*a. Give j(u(v)).\nAnswer: -1240*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63, 588, 2023, 4824, 9447?\n\"Answer: 76*w**3 - w**2 - 4*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2044*t - 1145*t + 3068 = 1135*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - -0.19. Let p = v - 0.42. Which is the third biggest value? (a) -1 (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*r**3 + 3*r**2 - 15*r - 3.\nAnswer: 3*(r - 1)*(r + 1)*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j = 224*j + 1305*j - 73151 - 34297 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144384642 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: Which is the nearest to 0? (a) 1 (b) -248 (c) 4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b. Let l(o) = 3*o. Let p(w) = -7*l(w) + 4*n(w). Let x(v) = 4*v**2 + 5. Let r(a) = -a**2 - 1. Let k(s) = -15*r(s) - 3*x(s). Calculate k(p(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 + -5) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 + 4*u + 2. Let r be g(8). Let l be ((-15)\/r)\/((-1)\/12). Let c(o) = -o**3 - 5*o**2 + 6*o + 8. Determine c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 7, -230?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - -2. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11830 (base 9) to base 16\nAnswer: -1f1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -q + 115 - 19, -2*q = -2*f - 192. Solve 5*w = 71 - q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f - 6 + 13 - 1659*f**4 + 831*f**4 + 830*f**4 - 35*f as h*f**2 + n*f**3 + x*f + m + s*f**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, q: 4, d: 6, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/30 - 8*p**2. Let m be (16\/(-4) + 5)*-1. Let f(h) = -h + 1. Calculate m*f(c) + o(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-8 + 8 + 5*f**3) + 4*f**3 + 3*f - 3*f + 7 - 7 + 6*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 101538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68052533.\nAnswer: 31, 2195243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a69a (base 11) to base 3.\nAnswer: -112211222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + r + 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13051 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 64822b6?\nAnswer: 64822bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 685192629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwywwwgywymyyywyuwwg. Give prob of sequence gmu.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(sqrt(114)\/sqrt(6) - sqrt(19))*-1 + ((1*sqrt(190))\/sqrt(10) - (1 + sqrt(475)))) + 5)**2.\nAnswer: 288*sqrt(19) + 4945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((664 - 656) + 1 + -116).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 599814859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 9, g: 1, p: 2, a: 2, t: 1}. Give prob of picking 1 m, 1 t, and 1 a.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 1}. What is prob of sequence oto?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20 and -35\/6014?\nAnswer: 60140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-3 + 6)*1. Suppose 6 = 5*s - j*s. What is the third biggest value in 0, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 35. Suppose -5 + l = 5*i. Factor -3 + 1 - 2*k**i - 4*k + 0*k**2.\nAnswer: -2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 + 408218*x\/3 - 41660483881\/3 = 0 for x.\nAnswer: 204109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -m - 4, -2 = 62*m - 57*m - 2*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.25 times -26.4\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/19)*i*i**(-1)*(i*i*i*i**2\/i*i*i)\/(i*i**6*i) assuming i is positive.\nAnswer: i**(-36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15300\/437580*(-33)\/15.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 1. Let m be r(-2). Suppose 3*q = -4*w - 23, -4*w - w + 15 = -5*q. Let k be q - ((-380)\/35 + -5). Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1408, 2815, 4222, 5629, 7036?\nAnswer: 8443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/7132 or 33?\nAnswer: -89\/7132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46047 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 + 4*n**2)*(-35 + 83*n**2 - 33 + 67).\nAnswer: 498*n**4 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/(-1 + 105\/100). Solve -2*l = 2*l + g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 (base 13) in base 2?\nAnswer: 11011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 459 - 8*r**4 - 927 + 469 + r**3 - 13*r**2 - 7*r**4 to the form u*r + f*r**2 + k*r**4 + q*r**3 + o and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/6 - 1121*z**4\/6 + 16027*z**3 + 3850918*z**2\/3 - 15962668*z\/3 + 5382000 = 0.\nAnswer: -1196, -54, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and -43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -17*o - 6. Let g(x) = 29*x + 10. Let z(k) = 3*g(k) + 5*y(k). Let l(a) = -69*a. Give z(l(u)).\nAnswer: -138*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959*z + 208 - 412 + 209 + 169*z.\nAnswer: 3128*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/23, -4, -1\/6 in increasing order.\nAnswer: -4, -1\/6, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(880) + -1*sqrt(880) + sqrt(880) - sqrt(880)) + sqrt(880)))\/(2*((sqrt(50)*-2)\/sqrt(10) + sqrt(5))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -255.028832 to one dp.\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.458615 years in decades?\nAnswer: 0.9458615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(110) - -1*sqrt(110)*-4))\/((((sqrt(180) - -2*sqrt(180)) + sqrt(180) - sqrt(180) - sqrt(180))\/sqrt(9))\/sqrt(2)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {i: 5, f: 2, k: 4, m: 8}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.647049 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)*s)**45)**32 assuming s is positive.\nAnswer: s**3600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 572.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g - 1. Let z(l) = -3*l**2 - 4*l + 6. Suppose -69*o + 15 = -72*o. Determine o*x(v) - z(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a factor of 1293269395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196068 by 16339.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -12*w**3 + 105*w**2 - 264*w + 144 = 0.\nAnswer: 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 3d?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0 + 0)*(4 - 4 + 2) + (-w - w + 0*w)*(2*w**2 - 4*w + 4*w) + w**3 + w**3 - 6*w**3 + 2*w**3 + w**3 - w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14978220 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26350 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -4, -0.9, -5\/4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342306 (base 7) in base 16?\nAnswer: edc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - 15*p**4 - 87*p**2.\nAnswer: 60*p**2 - 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242052206 a multiple of 1286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0*o + 2*o - o + 4*o.\nAnswer: 5*o + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 11, 1\/3, 2, -0.3, 25 in ascending order.\nAnswer: -67, -0.3, 1\/3, 2, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70109.84kg to micrograms.\nAnswer: 70109840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -98. Let p = l + 18. What is the remainder when 75 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/30 - 2*l**3\/9 - 16*l**2\/5 + 168*l\/5 + 206. Find n, given that c(n) = 0.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149731828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 48, 99, 180, 297, 456, 663, 924?\n\"Answer: x**3 + 6*x**2 + 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6484 + 38893. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16753*m - 16753*m - 26*m**3 + 345*m**3.\nAnswer: 319*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6342 (base 8) to base 2\nAnswer: -110011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6235588?\nAnswer: 2, 31, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 10 = -3*a. Suppose a*w = 98 - 17. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/56 and -25\/1106.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 + 36. What are the prime factors of r(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 201928.\nAnswer: 201927.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63062 + -945103\/15. Let j = 169\/3 - w. Let r = 15 - 17. What is the nearest to j in -0.1, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7312*r = -5*t + 7316*r - 75, -198 = -4*t - 14*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + u + 35 = 0, 35*u - 33*u = 9*o + 66 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((2 - (6 + 5)) + (-3 - -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8 + 0*n**3 - 18 + 3*n**3 - 10*n**2 + 21*n + 1 - 2*n**3. Let w be p(6). Which is the nearest to 0? (a) 0 (b) -1\/9 (c) 4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-1) + -1*5. Suppose 0 = 4*y + s, -2*y = -2*k + 924 - 250. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30496.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246100961 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1153 (base 8) to base 9.\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*l - 2 + 3*l + 28*l - 164*l + 38*l - l**2 in the form v*l + y + q*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15 - 5850*m**2 + 4*m - 13*m - 14548*m**2 + 2*m. Let h be v(5). What is h rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/3 - 10016*u\/3 - 6270016\/3.\nAnswer: -4*(u + 1252)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4*n**2 - 4*h**3*n**2 - 28*h**2*n + h**2 + n**2 wrt h.\nAnswer: 24*h*n**2 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 0.2009?\nAnswer: 6.2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 + -379. What is the nearest to -1\/2 in a, 3, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10 = 2*r. Suppose -r*p + 1946 = 606. Suppose -p = -4*y + 408. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 25 (c) -27 (d) -1\/7 (e) 0 (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86948, -347779, -782496, -1391099?\nAnswer: -2173588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -105 (b) 7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 3*p - 4. Suppose -41 + 56 = 5*w. What is b(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 661633 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -3*m + 2*v, m + 812*v - 264 = 807*v + 141 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 550*m**3 + 73629*m**2 + 148912*m + 74732.\nAnswer: (m - 314)*(m - 238)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5 + 1 + 0 + 1 + (-2 - 3 + 4)*(2 + 0 - 1) - 5 + 4 + 2 + 6 - 2 - 3)*(26*h - 173*h - 79*h).\nAnswer: -452*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 18\/5 - 1278\/5*x + 30246\/5*x**2 - 715822\/15*x**3 = 0.\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15 - 32 + 7 + 48*y wrt y?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**3 + 12*v**3 - 11*v**3.\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 5*o + 2. Let i(c) = -c**2 - c. What is -5*i(y) + k(y)?\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*p = -190*p - 2*m + 29, 0 = -4*p - 4*m + 48. Which is the nearest to 137? (a) -0.3 (b) -0.1 (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 20*l - 4 = -15*l, -8 = 5*m - 3*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -3.08. Let p = 3 + 1. Which is the second smallest value? (a) j (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/25 and -123\/2140?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*l = -20 - 5, -5*u - 21 = -l. Let q be ((u - 2)\/(-18))\/((-4)\/6). Let m = -3.2 - -0.2. What is the third smallest value in 0.1, m, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.3. Suppose -8 = 4*k - 0*k. Let p be (k\/(-15))\/((-3)\/5). What is the nearest to 1\/3 in b, p, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -184. Let k = w + 192. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/660 - 31*k**5\/330 + k**4\/132 + 31*k**3\/33 - 5*k**2 - 11*k. Let u(n) = 0. Calculate n.\nAnswer: -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + z = 3*o + 148, 0 = -2*z - 4. Let p = -25 - o. Suppose 3*v = p*t + 162, -t - 245 = -4*v - 4*t. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 - -0.11. Let p = h + 0.1. Let r = -1\/14 - -11\/7. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 455, 1351, 2303, 3335, 4471, 5735?\n\"Answer: 4*s**3 + 4*s**2 + 856*s - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*p - 9*p. Let q be (12 + 18)*4\/p. What is the greatest common divisor of q and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 847212 and 24?\nAnswer: 1694424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -6*w**5\/35 + 4*w**4 + 38*w**3\/21 - 177. Factor q(c).\nAnswer: -2*c**2*(c - 19)*(3*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5\/4 (c) -0.3 (d) -6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322618, -645036, -967454?\nAnswer: -1289872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1217.\nAnswer: 6\/1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 2546*v + 2544.\nAnswer: 2*(v + 1)*(v + 1272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 37724*l - 177887522.\nAnswer: -2*(l - 9431)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.8245 and -11150.\nAnswer: -11154.8245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 93*i - 745. Calculate the smallest common multiple of b(-33) and 14.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1192, -1193, -1194, -1195, -1196, -1197?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*500\/200?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26474 + -0.15819. Round k to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67541, -67551, -67551, -67541, -67521, -67491, -67451?\n\"Answer: 5*d**2 - 25*d - 67521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 1)*(-2*s - 46 + 29 - 21)*(3*s - 1 + 1)*(-2 - 12 + 2) as y*s**2 + u + r*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -31*z - 285. Give m(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 5*m + 6. Let t(w) = -w**2 + w - 1. Let g(f) = -4*t(f) - x(f). What is g(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*l + 118 = 0, -2*y + 4*l + 188 = 3*y. Suppose y + 52 = 2*b. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*o**2*z**3 + 80368*o*z**3 - 2*o + z**3 + 112591155*z**2 wrt o.\nAnswer: 132*o*z**3 + 80368*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -43*z - 3. Suppose -24 = -4*h - 4*f, h + f - 2*f = 4. Suppose 4*r + 2 = -q, -h*q - 2 = -4*q + 5*r. What is the units digit of g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 8*t**2 - 8*t - 2. Let x = 7 + -3. Suppose -5*q - x*w - 23 = 0, -3*w = -4*q - 0*w - 37. What are the prime factors of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01656, -2\/17, -30\/13.\nAnswer: -30\/13, -2\/17, 0.01656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*-4*(sqrt(11) - (sqrt(121)\/sqrt(11)*-5)**2)*2.\nAnswer: -11000 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 15*a**2 - 14*a + 33. Calculate i(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 13. Let c be z(2). Suppose -91 = -5*h - n + 108, h + 4*n - 36 = 0. What is the highest common divisor of h and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 1. Let m(c) = -2*c - 1. Suppose 0*v = -2*v + b + 14, b + 23 = 3*v. Suppose -2*l - v = -5*l, 2*i = l - 17. Determine i*m(y) + 6*w(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m - 37. Let r(p) = 24*p + 71. What is -6*r(c) - 13*u(c)?\nAnswer: -c + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w + 23. Let f be v(-6). Suppose -2*p + f = -3*p, -5*r - 3*p - 10 = 0. Calculate the highest common factor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29972, -28842, -27712?\nAnswer: -26582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -588 - -905. Let q(z) = 0*z + 0*z - 4*z**2 + j - 317. Let s(n) = 17*n. Determine q(s(i)).\nAnswer: -1156*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325.006 - -325. Let x = -6414.794 + 6421. Let n = x + f. What is n rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, k: 9}. Give prob of picking 1 w and 1 k.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2 + h + 4. Let n(k) = k**2 - 6*k + 5. Let u be n(4). Let q be y(u). What is the biggest value in 0.2, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*n - 244 - 68, 4 - 6 = -2*c. What is the remainder when n is divided by (-52)\/(-5)*10\/2?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let k(c) = -125*c - 110. Let o(g) = -9*g - 8. Let m(v) = 4*k(v) - 55*o(v). What is m(t(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3193625?\nAnswer: -2\/3193625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z + 24. Let o be z\/28 + (-86)\/(-7). Let q be o\/24*8*4. Solve 0 = 2*u + 4*p + q, 4*u = p + 2*p + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193739151.\nAnswer: 3, 1459, 44263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1, 3*s = -f + s. Suppose -g + 3*n = 5*n - 42, 79 = f*g + 3*n. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/386 and -11\/114984.\nAnswer: 22191912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 822701654.\nAnswer: 5758911578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 349 - 4 - (10 - 11). What is the highest common divisor of o and 6055?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 2. Let w be n(0). Let j(y) = -52*y + 5. Let i be j(-1). Suppose w*z = -z + i. What is the remainder when 36 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1599 + 1613. What is the greatest common factor of g and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-18) + (-2)\/4. Let f(i) = -27*i**3 + i**2 + i. Let l be f(p). What is the greatest common divisor of 81 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {p: 1, c: 1, h: 2, m: 2, b: 1, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -y + 4, 5*y - 3*y = -2*m + 14. Let a be 15\/y*(-8)\/(-10). Let p(g) = -1 + 4*g + g**2 + a*g**2 + 3*g**2 - 8*g**2. Give p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, u: 1, r: 1, m: 3, y: 4}. What is prob of sequence hyzm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o**3 + 0*o**5 + 0*o**4 - 1\/630*o**7 + 47*o**2 - 1\/72*o**6 + 0*o + 0. Factor a(j).\nAnswer: -j**3*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-313)\/(-7) - 6\/(-21). Is 4\/10 + 3987\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 2*r**3 - 210*r + 25*r + 4 - 384*r.\nAnswer: -2*r**3 - 569*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 656*t + 1969. Determine w(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 10 = -5*l, 10 = 5*l + 5*n. Let s be -15*l*(-3)\/(-9). Let v be (64\/s)\/(-1 + (-8)\/10). Is v < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x + 9. Let p be v(0). Suppose 0 = 35*d - 46 - 199. Suppose -p*q = -d*q + 16. Which is bigger: q or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4852*v**3 - 2 + 4 - 4850*v**3 + 61*v**2)*(-4*v + 4*v + v + (-3 + 1 + 1)*(-2*v + 3*v + 0*v) - 2*v + v + 0*v).\nAnswer: -2*v**4 - 61*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131.9 - -121. Let u = j + 10.91182. What is u rounded to 4 decimal places?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u - 47. Let k(j) = -32*j - 141. Let q(f) = 4*k(f) - 11*s(f). Let r be q(-7). Solve r = 2*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205627 + 254155 = -3033*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -601.51 + 595. Round s to 1 dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96502622453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31896 and -0.4.\nAnswer: 31895.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1769265 and 82\/45.\nAnswer: 1769265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*a - 28, 4*u - 54 = -3*a - 10. Calculate the smallest common multiple of u and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 2, c: 3, o: 3, w: 1, j: 2}. Give prob of sequence ojo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/2)\/(24\/(-224)). Let p be (-7)\/z - 1\/(-6). Let m be (1 - p)\/(((-42)\/450)\/(-7)). What is the highest common factor of 30 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27 - 14*z**2 - 27 + 14*z**5 wrt z?\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 23*d - 22 = -25*d, 5*r - 5*d = 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -c, 5*n + c + 11 - 9 = -13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*z = 10680 + 13061, -w = -4*z - 11868. What are the prime factors of w?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * -2725.5\nAnswer: 92.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 22 - (-14 + (-3 - 6))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112761 and 755157.\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054086615 a multiple of 4131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.283 - 0.117. Let l = 8 - 6. Let z = f + l. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.96 + 0.04. Let r = -55 + 53. Let j be -7 - -3 - 100\/(-26). What is the nearest to r in h, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2. Let v(d) be the second derivative of d**4\/12 + 15*d - 2. Give r(v(a)).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - (25 + (-29 - (-23 + -1))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - -2*12\/8. Let n = d - 3. Solve n*a - 5*u - 26 = 3*a, 0 = -5*a - u + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 8, -0.3, -5, 0.1, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-11)\/(-77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/375378 and -25\/522.\nAnswer: 32657886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vovy when four letters picked without replacement from {z: 4, y: 2, o: 2, v: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*v**2 + 182*v**2 + 77*v**2 + 174*v**2 + 181*v**2 - 4*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnldlllnddld. Give prob of sequence lldd.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6480) - (sqrt(6480) + -2)) + 1 + -4)**2 - (sqrt(270)\/sqrt(6) + 0 - sqrt(720)*-3).\nAnswer: -39*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 9*u**2 + 9*u + 12. Let y be w(-8). Find the third derivative of 6*o**2 - 7*o**2 + 11*o**y + 2*o**2 wrt o.\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91126649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-4 + 4 - w)*(-5 + 1 + 2) + w - 4*w + w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 11*y**2 + 7*y - 28. Let f(i) = i**2 + 15*i + 17. Let u be f(-7). Let m = u + 27. Is 16 a factor of s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26579076 to three decimal places.\nAnswer: 0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -8*r + 0 + 0*r**3 + 0*r**2 - 7\/3*r**4. Let f(l) = -2*l**2. Calculate f(q(i)).\nAnswer: -1568*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5173 is divided by 420.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2419 + 2421. Which is the biggest value? (a) -2 (b) r (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*t - 1, 2*d + 3*t = 7*t + 14. Suppose 7*b = d*b + 84. Solve 3*x - b = 2*n, -n = 3*x + 2*n - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1461412761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2008*i**2 + 14*i - 6 wrt i?\nAnswer: -4016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c**2 + 5. Let v(p) = -6 + 9 + 5*p**2 - 6. Let u(f) = -3*l(f) - 5*v(f). Let z(g) = 0*g - 4*g + 3*g - 3*g. Give u(z(b)).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkq when three letters picked without replacement from bbkbqbqblbllqq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. Suppose -5*i - 4*r + 6 = 0, 2*i + 3*r = -0*i + 8. Let h = 0 - i. Put 0, h, v in ascending order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + w - 4. Suppose 2 = l - 3. Let j be ((-88)\/28 + 4)*1*-7. Let v(t) = -t**2 + t - 5. What is j*m(d) + l*v(d)?\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.190972845 + 0.091469645. Let r = -45.0995 - a. Let u = r - -9. What is u rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32903 + -32846. Calculate the remainder when k is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*a - 6 + 12 - 6.\nAnswer: 197*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18282466?\nAnswer: 2, 257, 35569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -95. Let j be -3 - 2\/(12\/z). Calculate the highest common divisor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 280, 267, 238, 187, 108, -5, -158?\n\"Answer: -h**3 - 2*h**2 + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 - 5*z + 3. Let m be h(2). Determine u so that 23*u - 3*u - 25*u**3 + 74*u**2 + 5*u**m - 74*u**2 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**3*r**2 - 1104*h**3*r*v - 655*h**3*r + 129*h*r**2*v + 24*h*r**2 wrt v.\nAnswer: -1104*h**3*r + 129*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*k = 33638 - 8521 - 9617 + 64984 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 25*i - 257. Let b be s(-8). Let f(v) = -3*v + 1. What is f(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u - 8*u + 26*u + 2 - 9*u. Determine f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 1, f: 1, t: 1, m: 1, q: 1}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21931, -21929, -21927, -21925?\n\"Answer: 2*s - 21933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (-6*(sqrt(228)*1 + sqrt(228)) + sqrt(228)))\/(sqrt(12) + -4*sqrt(1200)).\nAnswer: -4*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 317587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -137*l**4\/24 - 53*l**3\/2 - 7*l**2 + 1. What is the first derivative of u(k) wrt k?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.3663594 to 1 dp.\nAnswer: -50.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 - 3 - 1)\/(-2). Suppose 4*h**2 - 3*h**5 + 20*h**4 + j*h**5 - 1364*h**3 + 1382*h**3 = 0. What is h?\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6 or 4837915?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -91*s - 185. Let z be v(-2). Which is smaller: -1.19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/6, -22\/9, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7*h = 2*h + 13, -2*v + 9 = h. Let j be 1 + v - (1 + -1). Suppose 3*w = -w + 4*m + 44, -j*m + 9 = 3*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8973 greater than -8973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6411\/74 + -402\/37. Let l = t + 91. Let r = l - -7. What is the third biggest value in -2\/9, r, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from {m: 5, x: 13}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8 - 3 - p**2 + 35 - 39. Let h(q) = 17*q**2 + q - 3. What is -h(u) - 3*o(u)?\nAnswer: -14*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 612 - 28. Is 41 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 427518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 0.03?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4261417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -15 (b) 2 (c) -1\/4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:04 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**8\/21 + 2*u**7\/15 + u**6\/15 - u**5\/15 - 32*u**2. Factor q(b).\nAnswer: 4*b**2*(b + 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(162)*2 + -3 - ((sqrt(162) + -1)**2*2 + sqrt(162))).\nAnswer: -331 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 18 = 3*d, -2*d = 4*f + d - 15. Suppose 623 = f*j - 388. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11815*k = -11821*k - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1010, -912, -686, -266, 414?\n\"Answer: 11*z**3 - 2*z**2 + 27*z - 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 850091 or 850090?\nAnswer: 850091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0 - 2*t**2 + 6*t - 1\/6*t**3. Give p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*m - 35 = 52*m. Let r(x) = 23*x**3 - 2. Let g(w) = 22*w**3 - w - 1. Let d(z) = -5*g(z) + 4*r(z). Let f(t) = -t**3 + t - 1. Give m*d(s) - 5*f(s).\nAnswer: -13*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3438, -3450, -3476, -3522, -3594?\nAnswer: -3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500081 is divided by 73?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*d - 6*d - 65 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 7*i**2 + 8*i + 12. Let j be u(-8). Suppose j = -f + 29. What is the remainder when 50 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a + 5. Let d(c) = -c + 0 + a + 0. Give d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**2 + 59*p + 43 wrt p.\nAnswer: -4*p + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(112) - 1*sqrt(112)) - -3*(-5 + sqrt(1008))**2.\nAnswer: -360*sqrt(7) + 3103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 389\/26*(-39 + 41). Does 29 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 + 77*b**4 + 1260*b**3 + 4768*b**2 + 3584*b = 0?\nAnswer: -56, -16, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jddafdkkakdafaddda. What is prob of sequence fk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 1, -11, -2.\nAnswer: -11, -4, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120427 is divided by 111?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {s: 1, u: 8, i: 1, g: 1, v: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1830*x**4 - 14*x**3 - 332*x**2 + 5*x + 34?\nAnswer: -43920*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 3. Let k(o) be the third derivative of -o**3\/6 - 2*o**2 - 299. Determine 2*k(n) + r(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 14 - s**2 - 8.\nAnswer: -s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561 - -561.227. Let n = -0.017 + z. Let a = -0.21000036 + n. Round a to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1006\/5 - 7117\/35. Let z = i + 2. Let v be 1\/2*8\/(-18). What is the nearest to v in z, -2, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/4 (b) -0.41 (c) 3 (d) 5.36 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 10. Let u = -16441\/6 + 2733. Calculate the common denominator of u and 2 + (1 - (-3)\/y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -3) + 1 + 3. Let f = i + -4. Are 2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*b = -12, 4*c - 16*b - 12 = -20*b. Suppose 5*p - w = -4*w + 5, -p + 4*w = -24. Calculate the remainder when p is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k + 110 = 0. Let s be -11*1\/(-2) - 13\/26. Suppose 0 = -g + s*h - 18, 2*h - 22 = -3*g - 8. What is the greatest common factor of k and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m*m*m**5*(m*m**(-2\/5))**(-7\/11))**(-35\/4) assuming m is positive.\nAnswer: m**(-7259\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 28. What is the smallest common multiple of 1 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -722, -713, -690, -647, -578?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18172971?\nAnswer: 3, 673073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 1228*t - 6040.\nAnswer: -4*(t - 302)*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 + 2. Let p = n - -1. Which is the nearest to -0.1? (a) -2\/7 (b) p (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5874*l**3 + 2*l**2. Let p be z(2). Suppose y - p = -3*h, -y + 94000 = y + 3*h. What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 - 10*v**3 + 491590*v**2 - 23070711*v?\nAnswer: -24*v**2 - 60*v + 983180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285 + 287. Solve -3*l + 17 = -4*f, 0 = -4*l - l + t*f + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 6) to base 3.\nAnswer: 2010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/3)*p\/(p\/p**3) assuming p is positive.\nAnswer: p**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15*(-1)\/25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s**5 + 164*s**4 + 62*s**3 - 164*s**2 - 48*s = 0.\nAnswer: -1, -2\/7, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 151 = -c, 16 = 2*d + 10. Suppose -2*h = -5*z - 126, -2 = 4*h - 14. Let v = c + z. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 4, 3 in descending order.\nAnswer: 66, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 241131477 to the power of 1\/2, to the nearest integer?\nAnswer: 15528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - x + 12, 23*a + 4*x - 3 = 28*a. Solve 0 = 2*g, a*m - 174*g = -177*g + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d - 5*c = -83*d + 25, -c = 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c + 2. Let t = 0 + 3. Suppose -6 = -t*x + 3. List the prime factors of w(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -41, -140, -329, -638, -1097, -1736?\nAnswer: -2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 27*p**3 - p**2 + p. Let t be c(1). Suppose -5*o = 3*i - 16 - t, -51 = -5*o - i. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - 76\/(-12). Let h be ((-3)\/(-9))\/((-2)\/s). Let l(r) = -13*r**3 + r**2 + r. Calculate the remainder when 24 is divided by l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 5:07 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 272*n - 7564 = 30*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/452 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*s**2 - 7434361 + 7434361.\nAnswer: -151*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:26 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 5*p + 43*p)*(-4*p + 2*p**3 + 4*p) + (p**4 + p**4 - 4*p**4)*(-2 - 1 + 2) - 3*p**4 + 1 - 1 + 0*p**2 - 2*p**4 + 0*p**2.\nAnswer: 77*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let k = y - -4. Suppose -k*z + 24 = -0*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25897 times -14427\nAnswer: -373616019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.036, -1\/5, 0.5 in decreasing order.\nAnswer: 0.5, 1\/3, -0.036, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10741220 rounded to the nearest one hundred thousand?\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-5)*(1 + -36). Suppose f = 6*f - r. Is ((-74)\/(-8))\/(f\/28) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44103 + 0.4410125112. What is n rounded to seven dps?\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/720 + 5*v**2. Factor d(s).\nAnswer: s**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 97 - (-3)\/(-6)*-4. Suppose 7*n + 39 = 4*n. Let b = f + n. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.197693 times 0.04\nAnswer: -0.16790772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 45 + 55*t**2 - 21*t**2 - 6*t**2 - 27*t**2 to the form p*t + v*t**2 + j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 + 8*t)*(-3 - 2 + 3) as u + g*t and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*x - 85, -5*h + 3*x - 12 = -97. Suppose 0 = 2*s - 5*i - 134, -19*i + 17*i = 3*s - 201. What is the remainder when s is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -6*m + 14*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14852243 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*5\/((-10)\/44). Suppose -4*k = k - 25. Suppose 0 = l + b - 9, l - 37 = -3*l - k*b. What is the highest common divisor of l and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4747*u + 115134 + 288361 = 0 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.082 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12809.4 + 12056. What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1 (b) -1 (c) -166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/60 - (-58)\/15) + -5. What is the hundreds digit of ((-1207)\/(-34))\/(o\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, q: 12}. Give prob of sequence qwqw.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7813406 + -3.75133878. Let z = b + -2.03. What is z rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 7) to base 12\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1219476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -839, -855, -873, -893, -915, -939?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from gjjgj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -72. Let n(z) be the third derivative of z**4\/12 + z**3\/6 - 2*z**2. Let f be n(2). Sort g, f, 2.\nAnswer: g, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -480 + 476. What is the closest to 0.5 in f, -17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 52*t + 37*t - 90*t. Let b(v) = -3*v. Let f(u) = -2*u + 3. Let k be f(2). Determine k*b(o) + 2*s(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.3 (b) 0.0595 (c) 3 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 13*k + 10*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 30681*h - 341. Let r be b(8). Suppose 42135 = 4*w - 5*z - r, -2*w + 143624 = -z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1471970*n**3 - 824191*n.\nAnswer: 8831820*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/60)\/(4600\/3000).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:34 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 1111110101?\nAnswer: 10000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-27) - (-5)\/(90\/832). Suppose -y + c = -g + 5*g, 47 = 5*g - 4*y. Calculate the greatest common divisor of 143 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 6*p**2 - 21*p - 8. Determine k(9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*m = -50 - 3, -m - 2 = 0. Find the common denominator of c\/72 - 86\/(-8) and 26\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -298 - -444. Suppose x + 5*t - 93 = -8, 2*x - p = -4*t. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 7*s - 5*s + 3, 5*j + 29 = 4*s. Let b be j*5\/25*-3. Solve -b - 3 = -6*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 - 256*b - 658. Give l(-83).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2673318t to milligrams.\nAnswer: 267331800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1888)\/(-354)*(-27)\/6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 - 7*s - 4. Let a be i(-6). Suppose 0*z - 56 = -5*z + w, -a*z = -2*w - 24. Calculate the highest common divisor of 77 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175647 is divided by 577?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.55?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24048, -24047, -24036, -24009, -23960, -23883, -23772, -23621?\nAnswer: -23424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1137 - -1133) + (0 + 3 - -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.0633755659 + 2.637\nAnswer: 1.5736244341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 46. Calculate j(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15169*k**2 - 9*k - 33?\nAnswer: -30338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2448) - sqrt(2448)*2)*-2)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 15796831.0347541.\nAnswer: -15796831.0347541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 24, -4, -305, -71 in ascending order.\nAnswer: -305, -71, -4, -3\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817494 is divided by 7299.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -6 - (-5 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-10)*a)*a**(7\/4))**(-37)\/(a**16\/a*a*a*((a\/a**14)\/a)\/a)**(3\/5) assuming a is positive.\nAnswer: a**(-8719\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - ((-3 - 14) + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(16 + 24 + 9 + (1 + 1 - 4)*(2 + 2 - 3))*(-3 + 3 + q).\nAnswer: 94*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140045 and 56245100.\nAnswer: 3785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 - t**2 - 6*t - 7. Let w be o(5). Solve -l = 4*r - 8, l - r - 2 + w = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4004 and 870727.\nAnswer: 24380356","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3036 and 2541?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, h: 2, r: 4, j: 7}. What is prob of picking 1 j and 1 r?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -134, -188, -228, -248, -242, -204, -128?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(63)\/(sqrt(144)*-1))*2 + 2)*-5*4)**2.\nAnswer: 1600*sqrt(7) + 7100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9236286?\nAnswer: 2, 3, 131, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 + 8*d - 3. Let y(n) = -6*n + 49. Let r be y(8). Let p(u) = 162*u - 159*u - r + 6*u**2 - 3*u**2. Give -3*l(m) + 8*p(m).\nAnswer: -3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = c + 12, d = -5*c - 2 + 6. Let j = 12 + -7. Suppose -j*y - 52000 = -d*y. What is y rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4458623 - 15890532259\/3564. Calculate the common denominator of o and 49\/6156.\nAnswer: 67716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*l**3 - 257*l**3 + 122*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 20. Suppose -101 + 13 = 2*g. Let z = g + 53. What is the least common multiple of z and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p. Let n be 6\/(-39) + 168\/78. Let f(t) be the third derivative of 1\/60*t**5 + n*t**2 + 0*t**4 + 0*t + 0 + 0*t**3. Calculate z(f(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -120.5. Which is the smallest value? (a) -3 (b) g (c) 1\/12 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2. Let r(n) = 1158 - 24*n**2 - 1158. What is r(y(f))?\nAnswer: -1944*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:31 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 183. Let x(p) = 15. Determine a(g) + x(g).\nAnswer: -g**2 - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 43 = -22. Find the third derivative of 29*h**4 - x*h**5 - 29*h**4 + 14*h**2 wrt h.\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1860, -3570, -6412, -10386, -15492?\n\"Answer: -566*s**2 - 12*s - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 282 = 3*z, 4*z + k = -k + 346. Suppose 2*f = 7 + z. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772244 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 0*m + m + 3*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -6453103.\nAnswer: 28\/6453103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + (-2000)\/(-56). Let w = n + -28. Suppose 2*l + 4*o - 26 = 0, -4*l = -5*l + 4*o + 13. Calculate the remainder when l is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 153.9175 * -4\nAnswer: -615.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -4291260584375.\nAnswer: -4291260584375.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**1*j*j*j*j**(1\/7)*j**(-5\/4) assuming j is positive.\nAnswer: j**(53\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 - 8*x**3 + 9*x**3 + 6*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - -2299. Suppose -w = -g - 818. Let y = -920 + g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 1. Let q(t) = -t**2. Let v(p) = p**2. Let w(l) = m*v(l) - 5*q(l). Let c(b) be the second derivative of -b**4\/12 + b. Calculate c(w(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/960 + 3*c**5\/320 + c**4\/32 - 5*c**3\/6 + 9*c. Let n(x) be the second derivative of d(x). Suppose n(f) = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + a - 43973, -5*k + 13*a - 12*a = -73267. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 + 2300388*x + 13802436 = 0.\nAnswer: -6, 766802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 4:28 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263575 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by -127.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3365*d - 2180*d - 1336*d + 889*d to the form p*d + x and give p.\nAnswer: -5992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262106187.\nAnswer: 29, 223, 195161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 + t**5 - 45*t**4 - 27423*t**2?\nAnswer: -120*t**3 + 60*t**2 - 1080*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**26)**(7\/5))**(-23) assuming k is positive.\nAnswer: k**(-4186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, -5, -379, 0.6, -2 in decreasing order.\nAnswer: 0.6, -2, -5, -123, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49617684?\nAnswer: 2, 3, 51047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2568\/14)\/(-4)*45206\/(-19374)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + (sqrt(112))**2 + sqrt(7) - 4*(0 + sqrt(7)))*4.\nAnswer: -8*sqrt(7) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 12*f**2 + 12*f - 1. Calculate m(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/35 - -19*1461\/21. Suppose 2*j - 7520 = c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -233300312?\nAnswer: 233300233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.4. Let p = -35 + 37. Let u = p - 2.1. Is o greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -186, -405, -700, -1065, -1494, -1981, -2520?\nAnswer: -3105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19668\/(-16390)*(-2 - 13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11978, -12304, -12616, -12908, -13174, -13408, -13604?\n\"Answer: p**3 + p**2 - 336*p - 11644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 186, 394, 602, 810, 1018?\n\"Answer: 208*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (82 + (-49)\/(-14))*-2*(-68 + 1). What is the highest common factor of 513 and j?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221020221011 (base 3) to base 10\nAnswer: -1028569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/32 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -48, -49, -48, -45?\n\"Answer: h**2 - 6*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 55245, -0.2, 140?\nAnswer: 55245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 372*l + 354*l + 382*l - 1529*l + 385*l + 24*l**2 to m*l**2 + k*l + p and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + -6. Let t = -23 - q. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7051.\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -80) + -72 - 60.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.3. Let k = 358\/1465 - 13\/293. What is the closest to 15 in g, k, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429746678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 200 - 5?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 95396*h**2 + 727633600*h + 1732482690000.\nAnswer: 4*(h + 4749)*(h + 9550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*(5709\/(-330) - -14) + (-2 - 1)*-3\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 - 7*k + 9. Let t be 5*(-4)\/(-10)*3. Let y be r(t). Factor 4\/9*l**y - 2\/9*l**4 + 0*l**2 + 0*l + 0.\nAnswer: -2*l**3*(l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/67 or -0.1?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-255)\/2)\/15).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9)**(-2))**(-30) assuming d is positive.\nAnswer: d**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -5*n - 102. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:06 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -19663 less than -19669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t + 6. Let g be f(0). Is 6 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 5.05.\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6 + (-7)\/(-21). Let y be 1016 - (3 - (g - -3)). Suppose -4*u - y = -9*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*-2171.1.\nAnswer: 125923.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 59 = -3*f, 3*f - 129 = -2*f - h. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3685754003?\nAnswer: 17, 193, 509, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -9855\/1228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29*o**4 + 148*o**3 - 105*o**2 - 205*o - 255. Let u(g) = 43*g**4 - 222*g**3 + 157*g**2 + 307*g + 357. Let w(r) = -7*l(r) - 5*u(r). Factor w(i).\nAnswer: -2*i*(i - 5)*(i - 2)*(6*i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = 4*p, 4*t + p - 9 = -1. Suppose -5*c + 38 = -62. Calculate the least common multiple of t and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437067.\nAnswer: 31, 151, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22485625 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001110001 + -101?\nAnswer: 1000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3265.06 + 3186. Let g = -5.54 + j. What is g rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let o be c(5). Let q be -4*3\/(-6)*1. Suppose 0 = q*v + v - 12. Solve 2*k - v*k + 20 = -2*g, -2*k + 30 = -o*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i. Let j be 2 + 1 + 7 - 5. Suppose -z - 3*o + 16 = 4*z, -5*o = -5*z. Suppose z*x - 7*x = -j. What is n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142493274 by -9.\nAnswer: -15832586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1436588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 913572 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.0348482 to one dp.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17784199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3073*j - 150612. Determine k(49).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 + 4 = 0. Let 1\/2 + 3\/2*l - 1\/2*l**2 - 3\/2*l**y = 0. Calculate l.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5 - 14*b**4 - 1207*b**3 + 176898*b**2 - 2*b.\nAnswer: 60*b**2 - 336*b - 7242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -108*k**3 - k**2 + 2*k - 1. Calculate p(1).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-15)*110\/44.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -55 - 18 - 9 - 6039*a + 6814*a**2 + 6051*a. Let h be g(19). What is h rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 16*c**7\/105 + c**5\/4 + 6*c**2. What is the third derivative of m(b) wrt b?\nAnswer: 768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and 7481571.\nAnswer: 7481562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8*(-8)\/(-1). Let c = 16 + q. Solve 0 = 7*n - 2*n + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -47) + (5 - (-4 + 2)) + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 26*v - 14*v. Let g = 26 + -17. Suppose -v*l + g = -1. Calculate the remainder when 7 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine fifths of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1933375, -3866753, -5800131, -7733509, -9666887?\nAnswer: -11600265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2828068.37 + 3628.\nAnswer: -2824440.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = 5. Suppose 37 = i*x + 13. Solve -x*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*i + 1 + (2 - 3 - 1)*(5*i - 4*i - 2*i) + 2*i - i - 2*i)*(-2 - 1 + 1 + (2 - 2 - 2)*(3 + 1 - 2) + 7 - 3 - 2) as o*i + d and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166811?\nAnswer: 31, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271552172768119 - 18*y - 271552172768119.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x - 172805 = -170715 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 16, r + 4*m - 15 = 10. Calculate the remainder when r is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/89 + 47\/12104. Is 1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1859*h + 2310 = -77*x - 1862*h, 2*x - 4*h + 150 = -x - 2*x for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -132 (c) 0.1 (d) -1\/4 (e) 0.078\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -47492\/3 greater than or equal to -15830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33864 - 168621\/5. Let r = -2027\/15 + y. Factor -r + 2\/3*h**3 + 10*h - 6*h**2.\nAnswer: 2*(h - 7)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/15 - 4\/5. Let o(a) = a**3 - 4*a**2 - 4*a - 5. Let c be o(5). Put c, h, -5 in descending order.\nAnswer: c, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/195, -0.3, -0.2 in decreasing order.\nAnswer: 8\/195, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*k + 242*k - 800*k - 420*k - 46859 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + f = -37, 41*l - 38 = 43*l - 4*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**5 + 0*y + 0 - 1\/24*y**4 + 1\/6*y**3 - 3*y**2 + 1\/360*y**6. Let f(l) be the first derivative of q(l). Factor f(b).\nAnswer: (b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38929521627\/217 + -179428763. Let l = -30046 - u. Let c = l + 1\/31. What is the second biggest value in c, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -25.7821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 31110?\nAnswer: -31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 47 = 9. Suppose 0 = 5*y + 15, 4*y - y = 3*o - 27. Let w = o + 0. What is the least common multiple of w and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - -18) + (-1220)\/50. Which is greater: x or 17.11?\nAnswer: 17.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(2299)*-2 + sqrt(2299))**2 + ((sqrt(2299) + 0 + sqrt(2299))*1 + 3)**2)*-2.\nAnswer: -264*sqrt(19) + 147118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**3 - x**2 + 19*x - 13. Let w(j) = -11*j + j + 2*j**2 + 5*j**3 - j**2 + 7. Let r be (-12)\/20 + 52\/(-5). Let t(d) = r*w(d) - 6*v(d). Give t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m. Let g(n) = 5*n + 20. Let l be g(-11). Let h(a) = a**2 + 2*a. Let u(f) = 15*f**2 + 35*f. Let x(y) = l*h(y) + 2*u(y). Give x(i(c)).\nAnswer: -500*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 2*f + 0*f. Let b(u) = u + 2. Let j be b(0). Let m(l) = -l**2 - 4*l**2 + 4*l**j + 0*l**2. Determine r(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 9. Let r be d(7). Let c = 2 - r. Let u = 123 + c. Calculate the highest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2043050 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13342562 by -40.\nAnswer: 6671281\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 372332249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + w - 3*w + (-2*w + 5 - 5)*(-3 + 4 + 0) - 1 - 2*w + 1 - 4 - w + 4 + (-2*w + 2*w + 2*w)*(0 - 1 - 1)*(-1 + 9 + 0).\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14296*b - 14199*b + 28496*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2152?\nAnswer: 3\/2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 52 = -8*x, 5*x + 281*k = 272*k + 52 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 523469.5ug in grams?\nAnswer: 0.5234695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 21 = -11. Let z(n) be the first derivative of n**4\/4 + n**2 - n + 11. Let c(d) = 2 - 5*d**3 - d**2 - 12*d + d + 4. Determine k*c(o) - 11*z(o).\nAnswer: -o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937, -1900, -2885, -3892, -4921, -5972?\nAnswer: -7045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*w - 2, -w = -0*t - 4*t + 19. Suppose t*l - 308 = -0*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.09, -124979.7 in increasing order.\nAnswer: -124979.7, -4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*r + 123. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.8 + -16. Let x = p + 2.2. Let u be 13\/(-20) + 5 + (-38)\/8. Put x, 0, u in increasing order.\nAnswer: u, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622643?\nAnswer: 3, 11, 49171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 11*f = 173, -4*i + 9*f = 4*f + 76 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33737 smaller than -25\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-5)*(-1)\/2. Suppose -l*t = -0 - 4. Put 0, t, 4 in ascending order.\nAnswer: 0, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*o + 35, o = -2*y + 23 - 13. Suppose 2*k = -o*v - 24, -5*v - 29 = 4*k - 5. Let m be (-1)\/(-4) + (-29)\/4. Is v > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 0*j - 6*j + (-j + 0*j + 0*j)*(0 + 0 - 1) - 45 - 8*j + 31 + 16*j.\nAnswer: 7*j - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6754324 + -6758611.027. Let n = 4300 + h. Let x = -13 + n. Round x to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 5*z**8\/112 + 17*z**7\/42 + 3*z**6\/8 - 41*z**5\/12 + 5*z**4\/2 + 12*z**2. Suppose i(j) = 0. What is j?\nAnswer: -4, -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 0, -3*d + 3*h = 2*d - 75. Let f(l) = l**2 - 17*l - 42. Calculate the remainder when f(21) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 72.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**3 + 33*k**3 - 140*k**3 - 114*k**3.\nAnswer: -262*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(1584) + 5 - sqrt(1584))*-5 + 0 + (-5 + (3*sqrt(1584))**2)*2.\nAnswer: -480*sqrt(11) + 28602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b - 24. Suppose 2*i + 9 = 5*z - 6, 5 = 3*i - 2*z. Let g be p(i). Is 4 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9922 = 500*u - 49*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 n when four letters picked without replacement from {n: 7, j: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, e: 3}. Give prob of picking 2 z and 1 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5 + 520*x**4 + 486*x**3 - 8320*x**2 - 8288*x = 0.\nAnswer: -259, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 + -1.61. Let l = -0.03 + q. Is l equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 + 4?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52980 (base 12) in base 15?\nAnswer: 22253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y\/y**(-14))\/y)*y*y*((y*y**(6\/11)*y)\/y*y)\/y*y*y**(2\/77)*y**(-1\/7) assuming y is positive.\nAnswer: y**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 13 + -28 + 54.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 6174?\nAnswer: -1\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9131, -36503, -82111, -145949, -228011, -328291, -446783?\n\"Answer: j**3 - 9124*j**2 - 7*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, r: 1}. What is prob of picking 4 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.2 and -2384202?\nAnswer: 2384210.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 s when four letters picked without replacement from sbssssbbbsbs.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2735\/(-545) - -5). Let f = 109 + z. Which is greater: f or -1\/38?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3698632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136871544*c**3*s**4 + 129*c**3*s - 3*c**3 - 5*c**2*s - 13*c**2 + c*s - 21*c + s**5 wrt s?\nAnswer: 1642458528*c**3*s**2 + 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1.08.\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -2, 3, -1\/8, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 25 + 0*b + 5*b)*(-12 - 2*b + 12) as o*b + p*b**2 + c and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*k**2*m + 14015825*b*k**2 + b - 7365*k**2*m + 2*k**2 + 8*k*m + 2*m + 4 wrt b.\nAnswer: k**2*m + 14015825*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 106*r + 2420. What is k(-20)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2102, -4464, -7066, -9896, -12942, -16192, -19634, -23256?\nAnswer: -27046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118220507 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = -z. Which is bigger: -16 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 - -1234. Let z = n - 944.7. Which is the nearest to -1\/2? (a) 10 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + g)*(1 - 3 + 0) + (-3 + 0 + 1)*(g - 5*g + 5*g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 9*n - 24 = 4*y, 0 = -5*y + 4*n - 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 407683 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*h - 978*h - 378*h.\nAnswer: -1167*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60897 or -60900?\nAnswer: -60900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, z: 2, k: 1, e: 2, p: 1}. Give prob of sequence ek.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 42. Let m(h) = -x - 11*h + 2*h + 10*h. Let r be m(8). Solve -r*d = 3 + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 1, u: 7, l: 1, h: 5}. What is prob of picking 1 l and 3 h?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(5 + 1 - 4)*((2 - 2 + j**2)*(13*j - 49 + 49) + j**3 - 1 + 1).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -748636 (base 9) to base 5\nAnswer: -103232223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -4 + 0*c**6 - 10\/3*c**3 + 0*c + 0*c**4 - 9\/7*c**7 + 0*c**5 + 0*c**2. Find the third derivative of h(b) wrt b.\nAnswer: -1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = -15. Suppose -4*d - 76 = -x*i, -3*i + 39 = -2*d - 29. Suppose -3*k = -6*k + 4*w + 59, 5*w = i. Solve 2*a = 4, -5*a = -4*j - k - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10. Suppose w*s = 5*s - 6. Suppose -2*i = -s*d + 8, 21 = -3*i + 4*d + 5. Sort i, -5, 3 in increasing order.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -28*w - 5. Let k(l) = 84*l + 14. What is -3*k(z) - 8*o(z)?\nAnswer: -28*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**5 - 289*q**4\/2 + 434*q**3\/3 + 625*q**2 + 228*q - 4851. Determine b so that z(b) = 0.\nAnswer: -1, -1\/5, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 32*y**2 + 236*y - 312.\nAnswer: -4*(y - 3)*(y - 2)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490082497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 2*l)*(1 + 2 - 2) - l + 5*l - 2*l + (-1 + l + 1)*(0 + 2 - 3).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1566.2 - -1566. Suppose -f - 2 = -3. Let p be ((-26)\/364)\/(0 - (-1)\/(-4)). Which is the nearest to h? (a) -1\/3 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*u + 19 = 0, -24*p - 3*u = -27*p + 12. Solve p*y + 146 - 125 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4 - 2. List the prime factors of -215*((-21)\/(-5) + u).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - 14410\/(-131) - 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 61.00031. What is d rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22.77 in -3, -0.0099, -2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 714 (b) 1\/14 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -106. Suppose 29 + l = 4*q + 5*x, -4*q + 3*x + 33 = 0. Suppose -q + 0 = -3*m. Solve 2*o - m - 6 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-6))\/((-20)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -589566840 bigger than -589566841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y**3 - 4*y**3 + 11*y**3)*(-8*y**2 - 2 + 7*y**2 + y - 5*y).\nAnswer: -17*y**5 - 68*y**4 - 34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + 11.14. Let f = h - 10. Let o = 5 + -10. Which is the biggest value? (a) f (b) -2\/17 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.0991757ns in weeks?\nAnswer: 0.00000000000017542853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -546624.\nAnswer: 7\/273312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3327331 is divided by 69319?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*((-2)\/(-4))\/(-1)*205\/205?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**2 + 51*o**3 - 51*o**3 + 0*o**2 - 8*o**5 wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-4 - 10)) + 8 + -2 + 11\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 6}. What is prob of sequence fq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3584)*5)\/(sqrt(8) - -2*sqrt(8)*-3) + -3 + -2)**2 + 4.\nAnswer: 80*sqrt(7) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.48 - -27.68. Let k = 0.02 + -4.02. Let y = k - -3. Put y, -18, h in descending order.\nAnswer: h, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*y + 1280 = 0, 4*u + 3*y - 283 = 1407. Suppose u = 2*p - 2*s, 2*p + 7*s = 2*s + 431. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.044 - -5. Let g = k + -79.956. Let h = g + 79.6. Which is the biggest value? (a) 4\/9 (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -7 - 1) + (3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 + n**2 + 18*n**2 - 7*n**2 + 11*n**2.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-4 - -1) + -5. Let t(n) = -16304 + 16304 - 3*n**x. Let a(m) = -4*m. Let y(r) = 4*r. Let c(s) = -4*a(s) - 3*y(s). Calculate t(c(g)).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 658703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(2\/(-1) + 3). Suppose 3*i = -q + 152, 0 = 4*i - f*q - 53 - 171. Let o = i - 9. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**3 + 3*v**2 + 3*v. Let g be (-24)\/(-8) + (-9 - 2). Let b(p) = 40*p**3 - 8*p**2 - 8*p. What is g*w(r) - 3*b(r)?\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koss. What is prob of picking 1 s, 1 o, and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 19 = 12*o. Let z = o - -75. Suppose 3*x + 64 = 11*x. Calculate the greatest common factor of z and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -g - 11, -z - 2*z - 4*g = 17. Let r(j) = 3*j + 2. Let l = 358 - 353. Let s(k) = -7 + 2*k + 0 + l - 1 + 4. What is z*r(d) + 4*s(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o + c = -4, -5*o - 8 = 2*c. Suppose o = -5*m + 15, -8*y + 3*m = -3*y - 1136. Suppose 4*t - 3*a = y, -t + 2*t + 5*a - 40 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.656865 to 2 decimal places.\nAnswer: -2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -624?\nAnswer: -1\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 11*u - 4*u)*(37 - 2*u - 37) - u**2 + 0 + 0.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**3 + 0*l**2 - 1\/12*l**4 + 0 + 20*l. Let q(a) = -a + 11. Let n(m) = -4. Let z(o) = 11*n(o) + 4*q(o). Give k(z(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -31 - 24 + 51 + j + j. Let u be -1*1*(-3)\/(-3). Let y = u - -5. Let n(o) = 4*o - 9. What is y*n(g) - 9*v(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*c - 2*c = 3115, 5*l - 5*c - 15535 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0205+-7129.9677\nAnswer: -7129.9882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/15 - 1772*b**3\/15 - 131422*b**2\/5 - 783224*b\/15 - 390728\/15.\nAnswer: -2*(b + 1)**2*(b + 442)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((252\/30)\/7)\/(16\/(-120)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000569449 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74323.\nAnswer: 74323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 199161 and 10771.\nAnswer: 209932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 7*w**4\/4 + w**2 + 3. What is the second derivative of z(y) wrt y?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44, 88, 202, 422, 784, 1324, 2078, 3082?\n\"Answer: 6*c**3 - c**2 + 5*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 494240951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -17. Let r(l) = -44 - 36*l**2 - l**3 + 10*l**2 + 10*l + 19*l**2 + 12*l**2. Let c be r(3). Put 3, y, c in decreasing order.\nAnswer: c, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -1891, -4830, -9095?\nAnswer: -14686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77400 divided by 1.\nAnswer: 77400","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 5.25305.\nAnswer: 14.25305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/324 and 31\/42?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1780 - -1817. Which is the third biggest value? (a) -3 (b) z (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**2. Let a(l) be the third derivative of l**4\/12 - 3*l**3\/2 + 138*l**2 + 2. Calculate g(a(t)).\nAnswer: 40*t**2 - 360*t + 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2719, 5441, 8169, 10909, 13667, 16449, 19261, 22109?\nAnswer: 24999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 502 = -302. Let b be 3*1 - (5 + -4). Is b*-10*j\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856570883.\nAnswer: 7, 29, 251, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 42*t + 1 + 1 as d + q*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 17 - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19850, -31615, -43380, -55145, -66910, -78675?\n\"Answer: -11765*p - 8085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**27 assuming j is positive.\nAnswer: j**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47175 is divided by 230?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171702289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1 + 13*z - 4*z + 2*z**2 - z**2 + 1. Let k be l(-9). Suppose -4*t + k*a + 37 = a, 2*t + 3*a - 1 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 + -555. Sort k, 0, 4, -2, 10 in decreasing order.\nAnswer: 10, 4, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/5172 and 35\/168162408?\nAnswer: 168162408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10654262 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/((-5)\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*m = 2*m + 24, -s + 2*m = -14. Let q(d) = 6*d**2 - d - 5. Let r be q(s). Find the first derivative of r*g + 4 + 2*g**3 - 87*g wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -47, -4 in descending order.\nAnswer: -4, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15061, 31436, 49125, 68128, 88445, 110076?\n\"Answer: 657*v**2 + 14404*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:22 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2783885, 5567790, 8351695, 11135600, 13919505?\n\"Answer: 2783905*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288746 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 28*r**2 - 44*r - 20.\nAnswer: -4*(r + 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.26 (b) -5\/3 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 + 6*g + 6. Let o be p(7). Let z(n) be the first derivative of -7*n**3\/3 - 5*n + 38. Let r(q) = q**2 + 1. Determine o*z(v) - 5*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (15 - 15 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*k + 84*k**2 + 174*k - 54*k - 58*k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/((-3525)\/(-330))*(-30)\/(-24).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -33. Let y(f) = -f**3 + 6*f**2 + 8*f - 7. Let p be y(7). Let a be -2 - -3 - (0 - -5). Put p, a, w in increasing order.\nAnswer: a, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -7, 0.2, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288808.\nAnswer: 2, 13, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1941481 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let o be c(-6). Find the second derivative of 0*h**4 - 3*h**4 - o*h + 4*h + h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1673 + -519. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*4*5\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - a**2 + a + 1. Let h be z(-1). List the prime factors of 5976\/81 - h\/(-9).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 9. What is the nearest to -0.2 in 1\/6, j, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + (sqrt(1700) - -1*2*sqrt(1700)) + sqrt(1700) + -1*sqrt(1700) + sqrt(1700) + 4 + sqrt(1700) + (sqrt(1700)*2 - sqrt(1700))*-5 + -4)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-279)\/62)\/((-3)\/4). Suppose 2*i + 3*u = -3, -u + h*u = -5*i. Solve 0 = i*r + 3*p - 4 - 8, -4*r + 6 = 2*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -203, -207, -213, -221, -231?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)\/(-3)*-69. Let i = x - -43. Find the common denominator of 18\/i*(-8)\/3 and -101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 38687?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1847927993 to the nearest integer?\nAnswer: 42988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 317?\nAnswer: 32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 4*k**2 - 3. Let c(l) = 3*l**2 + 2. Let p(w) = 3*c(w) + 2*t(w). Let m be p(1). Solve -j + 2*q - m = -0, 0 = -2*q - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(10\/7)*(v*v**5*v*v)\/v assuming v is positive.\nAnswer: v**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88384609*y - 44192310*y + 0 - 44192294*y + 0.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/7, 0.0974, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*z**4 + 554*z**3 - 53.\nAnswer: -12*z**3 + 1662*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxfh when four letters picked without replacement from {g: 1, r: 6, f: 1, x: 3, h: 1, m: 3}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 30*p = 0. Let f(g) be the first derivative of -7 + p*g**2 - 2\/3*g**3 + 0*g. Let m(v) = -5*v. Determine m(f(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b - 56*b**3 + 67*b - 19*b - 25*b.\nAnswer: -56*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 569715677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/7 + 54*y**4\/7 + 1080*y**3\/7 - 1432*y**2\/7 - 960*y = 0 for y.\nAnswer: -14, -2, 0, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/3262420 and 22\/815605.\nAnswer: 3262420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/48 - 68\/(-16). Solve 7 = -2*x - t*u, 2*x - 9 = u + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -2. Which is the closest to 2\/7? (a) -1\/2 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from eeqeqqeeeqeqeeqqqqq.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 200*b - 237*b + 137307. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -20. Find the second derivative of 3*h**2 - 5*h**d + 9*h**2 - 7*h wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 + 26*q**2 to the form x*q + o + w*q**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 - r**5 - r**5 - r + 2*r**5 + r + (-r - 2*r + 4*r)*(5*r**4 - 3*r**4 - r**4) - 61*r**5 - 2*r**2 + r**2 + 9*r**5.\nAnswer: -50*r**5 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:51 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/((-485030)\/41))\/(6\/(-210)*-10)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14890 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/((-4)\/8). Let q be ((-2)\/a)\/((-2)\/17). Let p = 34 + q. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = i + 4, 3*i = q - 8 - 4. Suppose 2*t + z - 296 = 0, 5*t - 2*z - 731 = -q*t. Let a = t + 152. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1018 divided by 5.\nAnswer: -1018\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + z + 10538 = 0, -15812 = -3*k - z - 0*z. Let y be k\/18 + 6\/27. Let n = 434 - y. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o - 22. Calculate x(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851244?\nAnswer: 2, 3, 70937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -777055.38 rounded to the nearest 1000?\nAnswer: -777000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 752173*n**2 - 21 + 752183*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {l: 1, f: 2, a: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4 - d**3\/3 + d**2\/2 - d + 7. Let z be a(1). Sort -4, 2\/7, z.\nAnswer: z, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 8, -4 in descending order.\nAnswer: 8, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, j: 1, k: 2, m: 1, l: 1, z: 5}. What is prob of picking 1 l and 1 d?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 0*b)*(-2*b + 6*b + b)*(-b**2 - 2*b**2 + b + b**2).\nAnswer: 40*b**4 - 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 - 7*z - 1. Let c(g) = 6*g**2 - 6*g - 1. Let o(m) = 6*c(m) - 5*r(m). Let a be o(2). Let x = 20 + -20.3. What is the biggest value in 2\/5, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-1274))\/(6\/(-42))*1*4.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 5. Let j(h) = -h - 6. Suppose m - 10 = 5*z, 0 = m + 2*z - 0 - 3. Let w(t) = m*j(t) + 6*a(t). Let k be w(4). Solve 6 = 5*g - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*g - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 32, 15, -38, -139?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 69. Determine r(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 25. Let v be s(11). What is the third derivative of -34*b**3 + 8*b**3 + 11*b**2 + 15*b**v wrt b?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3\/16, 1\/6, -5, 0?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 1 + 825*l**2 - 3*l**3 + l**3 - 797*l**2 to g*l**2 + c + q*l**3 + h*l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -40*c + 5\/3*c**3 + 35\/2*c**2 + 5. Suppose v(x) = 0. What is x?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214391904 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s - 66*s**2 - 15 + 0*s + 3*s + 72*s**2 + s to m*s + o + w*s**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 3*z + 13*z + 13*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25146167987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -7270?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27969 not equal to 27969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4491149 is divided by 26264.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 - 46*f**2 + 9*f + 74. Give q(-10).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -79602 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + (sqrt(78)\/sqrt(6))**2) + 0 + sqrt(325).\nAnswer: -26 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 699d + -2253?\nAnswer: 474a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a364 (base 15) to base 10.\nAnswer: 1857019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**2 + 3*c**2)*(-1 + 2 + 2)*(-4 + 4 - 6*c)*(1 + 2 - 2).\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 22*i + 460. Calculate d(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(150)*1*3)\/((-2*sqrt(3) - sqrt(3) - sqrt(3))*2))\/(sqrt(1000) + (sqrt(1000) - 1*sqrt(1000)) - (sqrt(120)\/sqrt(3) + sqrt(40))).\nAnswer: -5 - sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u + 2*u. Let s = -390 + 441. What is the remainder when s is divided by u\/(-45) + 194\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3370080 and 122720?\nAnswer: 43811040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*p**3 + 6*i**2*p**2 + 31*i**2*p - 2*i**2 - 38*i*p**3 - 6*i*p wrt p.\nAnswer: -12*i**2*p + 12*i**2 - 228*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47 and 190430464284?\nAnswer: 190430464237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202021021 (base 3) in base 15?\nAnswer: 29584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4024*p + 192*p**3 + 221*p**3 + 307 + 4024*p wrt p.\nAnswer: 1239*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 834 and -9?\nAnswer: -7506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 11. Let b(g) = 6*g**2 - 30. Let i(q) = 3*b(q) - 8*j(q). Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2 - 0.2. Suppose 352 = -s + 4*j, -18*j + 1715 = -5*s - 13*j. Let f be (-2)\/3 - (s\/(-75))\/(-17). What is the second smallest value in a, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537*u = -538*u + 43. Calculate the remainder when u is divided by 101\/9 - 4\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 10. Let q(t) = -t**2 - 4*t + 5. Let l be q(s). Suppose -4*j + 4 = 3*h - 2*h, 0 = -4*h + l*j - 5. Solve h*u + 2*u - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 1651497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785411*r**2 - 785411*r**2 + r**3 + 2*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-177)\/1008*4 + 2\/3 and 1\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 166. Solve 5*g = i, -2*g - 1 = 5*o - g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 + 67. Let d = w - -30. Which is smaller: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001306 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7834 is divided by 1375.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-5))\/((-1)\/5). Let l = -9 + 17. List the prime factors of (14\/(-3))\/(l\/a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551790973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19031, -19030, -19029?\nAnswer: -19028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/7)*(n**(-32)*n)\/n*n\/((n**26\/n)\/n*n*n)*n**(-32) assuming n is positive.\nAnswer: n**(-621\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0 + (-3*p + 3*p + p)*(-1 - 1 + 4) - 19 - 15*p + 19)*(-6 - 2 - 2).\nAnswer: 110*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by ((-36)\/45)\/((-4)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.75 + 0.75. Let i = -1465\/9 + 163. Let c = -233 + 232.8. What is the second biggest value in i, z, 0.3, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 118, 0.02, 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 70 = 7*i. Suppose 0*r - 35 = -5*r. Suppose 4*b + 68 = r*l - 3*l, -4*l - 2*b + 44 = 0. Calculate the remainder when l is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 - 6*x**4 + 18*x**3 + 60*x**2 + 57*x + 18.\nAnswer: -3*(x - 3)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13310 + 2?\nAnswer: -1330a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*1\/5. Let m be -1 - -3*3\/(-9). Let s = m - -2. Is o greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 31*d**3 + 12*d**2 - 29*d - 5. What is the ten thousands digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -36, -134, -324, -636, -1100?\nAnswer: -1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/256 and -23\/78208?\nAnswer: 156416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.54 (b) 1 (c) 4 (d) -0.7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-50) + 3\/(135\/17)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 = -7*k. Suppose -p + 5*s = -95, k*s - 365 = -3*p - s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 15. What is b(15)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 21 + 27*a - 43 in the form b*a + t and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -848 + 4?\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33265, -5226, -4.\nAnswer: -5226, -4, 33265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67.3 - -77.3. Put 106, b, 4\/3 in decreasing order.\nAnswer: 106, b, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 8. Suppose -q = -f*q + 90. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*i*u**3 + 2*g*i*u**2 - 796*g*u**3 - 4198*g*u + 1550*i*u**3 + i*u**2 + 90*i*u - u**2 wrt u?\nAnswer: -12*g*i - 4776*g + 9300*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njwwwjd. What is prob of picking 1 d and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 3*f**2 + 3. Let y(u) = 3*u**3 - 8*u**2 - 10. Let j(o) = -7*q(o) - 2*y(o). List the prime factors of j(6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -52\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244 (base 6) to base 9.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1132, -1146, -1170, -1204, -1248, -1302, -1366?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k*k*k**2)**(-42) assuming k is positive.\nAnswer: k**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 + 611 - 306 - 5*v + 3*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 - u**2 - u**2 + (0*u - 2*u + u)*(-5*u + u + 0*u) - 2*u**2 + 0*u + 0*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*d - 21*d - 10*d)*(-2*d**4 + 0*d**4 + d**4) + 0 + 0 + d**5.\nAnswer: 55*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84417*b*h - h - 7926 wrt b.\nAnswer: -84417*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -53738797.76.\nAnswer: -53738802.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + a - 4*a - 10 + 1. Let o be f(-6). List the prime factors of -76*-3*o\/(-18).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 9*z**2 + 336*z - 1434. What is l(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 14*a**2 + 23*a - 5. Let v be s(-12). Is 1\/(10956\/(-1566) + v) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 19 - (-61 - -9 - -21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 841306.4373 + -741905.743. Let y = c + -99387. Let w = 13.7 - y. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.752365 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + -4 + sqrt(17) + sqrt(153)\/(sqrt(9)*-1) + sqrt(17).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -6, -11, -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.0279 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23768 is divided by 164.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - 265 + 2*n + 259 + (2*n + 0*n - 5*n)*(-4 - 5 + 11).\nAnswer: n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*a - 39 + 33, -2*a - 6 = -4*l. Let z be a - -1 - 26\/(-52). Factor 7\/2*t**3 - 7\/2*t + 0 - z*t**2 + 1\/2*t**4.\nAnswer: t*(t - 1)*(t + 1)*(t + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 103. Are -22 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6057\/48456*8\/(-117)?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j. Let q(o) = -3*o**2 + 55*o - 16. Let h be q(18). What is t(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:12 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 - 5*t**2 + 2*t**3 + 0*t**3 - 2*t)*(-1555 - 469 + 325 - 2*t) to g*t**4 + q*t + o*t**2 + i + w*t**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m**2 - 94040*m - 282118. What is d(-3)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.18 + -4.8. Let m = 0.68 - d. What is the second smallest value in 0, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -3\/2, -0.4, -0.12, 1876, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38801011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-36)\/8*14\/(-2016)*-8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 5*k + z - 2*z, -60 = 3*k + 3*z. Let t = -12 - k. Suppose -t*g = -g. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2952 + 3*h + 0*h + 2954 to the form z + x*h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262*c**3 + 361*c**3 + 0*c**2 - c**2.\nAnswer: 1623*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-170048)\/180676)\/(1*2).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26919.\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 64.4. Let v = 16.5 + w. Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 239, 529, 819, 1109?\n\"Answer: 290*g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45 - 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 46c1d2b?\nAnswer: -46c1d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = 5. Is 140\/4*1 + m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8545 - -85541\/10. Calculate the common denominator of (-8)\/36 - 784\/36 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 7. Let n(a) = -y + 6 - 2*a**2. Let t(q) = 3*q - q**2 - 3*q. Calculate n(t(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7197*g**2 - g**3 + 69 - 78 + 7200*g**2 - g to o*g + l + k*g**2 + j*g**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54027 (base 8) to base 11.\nAnswer: 15a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.55?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/((-36)\/82) + 10\/(-45) and 97\/878.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*q - 2 + 45*q - 1 to p*q + s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let u(i) be the second derivative of -11*i**3\/2 + 49*i**2 - 868*i. Determine h(u(m)).\nAnswer: -2178*m**2 + 12936*m - 19208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from wowuhhswhwoddww?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 589403.089538888 + -589201.08954. Let p = -202 + h. What is p rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 64*o - 22. Let a be p(8). Calculate the highest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**4 + 4*t**3 - 4*t**2 - 17*t. Let k(l) = -l**4 - l**3 + l**2 - l. Let q(p) = -f(p) - 4*k(p). Find the second derivative of q(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624 (base 15) in base 9?\nAnswer: 22367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-14) - (-964)\/28. Let j = 35 - b. Solve 2*l = p - 3, j*l + 4*p + 9 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, -466, -2120, -5510, -11218?\n\"Answer: -97*v**3 + 5*v**2 + 164*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 6 - (-30 - (8 + -17))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:46 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b + 6. Let a(g) = 2*g**2 - 3*g + 6. Let i(n) = 3*n**2 - 5*n + 11. Let o(v) = b*a(v) - 3*i(v). What is the derivative of o(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 6*v + 4. Let h = 6 + -12. Let o be x(h). Suppose -3*l + 51 = o*n, 2*n + 7*l = 3*l + 18. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00054 and -18.\nAnswer: 0.00972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708 = -3*g - 3*i, 0 = 14*g - 11*g + 2*i - 705. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1596050288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.47 - 880.\nAnswer: -880.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 8, 1\/3, 4, -1\/8, 5.\nAnswer: -5, -1\/8, 1\/3, 2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/4*(-2)\/(-2))\/((-11)\/(880\/(-360))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + 88897227\nAnswer: 88897227.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 172 times -0.1\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 - 3*d - 6. Let x be w(-4). Let h(i) = 1203 + 8*i + i**3 - 1202 - 4*i - 7*i**2. Calculate h(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 9. Let p(s) = -526*s + 35. Determine p(l) + 4*r(l).\nAnswer: -530*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 678810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3546685378 - -6265594770. Let k = -2718909319.00000054 + m. Let x = k + -73. What is x rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -170, -356, -542, -728, -914?\n\"Answer: -186*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1785 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - m + 8, 3*k - k = -4*m + 14. Suppose -2 = -3*a - 5*l, k*a + 0*a + l - 10 = 0. Solve -5*p + a*v + 2 - 29 = 0, -3 = -v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 2*r**2 + 7*r - 24. Let w(b) = b**3 + b**2 - 4*b + 12. Let x(m) = -4*u(m) - 7*w(m). List the prime factors of x(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 (base 7) in base 11?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1917641*v. Let q(l) = -l**2. Determine n(q(w)).\nAnswer: -1917641*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -10. Let w(d) = d**3 + 6*d**2 + d - 2. Let s be w(x). Let p(g) = 0*g + 1283 - 429 - 2*g - 435 - 431. What is p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2983754, 2983748, 2983742, 2983736?\n\"Answer: -6*t + 2983760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 3*l - 2*l)*(-3 + 7 + 1)*(-8 + 1 + 1) in the form f + g*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52143780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9.9*-0.5\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 46 + 10 = 0. Let j = 59 + z. Let x = j - 10. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3091*k - 6205*k + 3115*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 18*m**3 - 4*m**2 - 3706*m + 4. Let k(j) = 14*j**3 - 3*j**2 - 3707*j + 3. Determine 4*k(o) - 3*n(o).\nAnswer: 2*o**3 - 3710*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/10)*i\/i**(2\/55)*(i\/(i\/(i\/((i*i**(-42))\/i*i*i*i))*i))\/(i\/(i\/(((i**(-2\/85)*i)\/i)\/i))))**(2\/75) assuming i is positive.\nAnswer: i**(77207\/70125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*k**2 - 123*k wrt k.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.2, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4093 - 4166. Sort 10, 2, -2, d.\nAnswer: d, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - 0.07. Let j(m) = -2*m**2 + 372*m + 3925. Let s be j(-10). Which is the fourth smallest value? (a) q (b) s (c) -0.12 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2228828921 + -2228828922.869996358. Let l = w + 1.87. Round l to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/264822 and 81\/2020?\nAnswer: 2648220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 129932.\nAnswer: -129932.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - z - 4. Let f(c) be the second derivative of c**4\/2 - c**3\/6 - 5*c**2\/2 - c. Let a(m) = 4*f(m) - 5*x(m). Let a(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*6\/(-45)*40. Suppose 4*w = -2*u - 10, -2*w + 1 - 18 = -3*u. Suppose 0*v = v. Solve -u*t + 3*q + k = -5*t, v = 5*t + 2*q + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14664, -13, 2 in descending order.\nAnswer: 14664, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(1216)*-4 + -1.\nAnswer: 2 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.6 - -12.9. Which is the second smallest value? (a) t (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 25863743353021?\nAnswer: -25863743353024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49972183 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*-4*1. Let n be (-1 - -2) + (-3)\/6. Let h = 0.6 + -0.6. Which is the third biggest value? (a) n (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5561713*w + 2780844*w + 2780872*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(5 - 2). What are the prime factors of 10 - (h\/(-2) + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = -5*i - 21, -3*i + t - 7 = 0. Let x be i\/(-12) + (-120)\/(-32). Solve -x*g - 2 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106099, -212208, -318321, -424438, -530559, -636684?\nAnswer: -742813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56448 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = t + 4*t - 16, -4*t + 4*w = 0. Suppose -11*z + 16*z - 17 = -l, -5*z = -t*l - 7. Solve 0 = 3*u + u + 3*i + 21, 9 = -z*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = -4*k - 2*t, -3*k + 14*t = 70 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 q when four letters picked without replacement from {m: 7, q: 6}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7535.3890664158 + -7599.26560084. Let b = n + -0.1234538758. Let m = -64 - b. Round m to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 + 7*l + 3. Let s be i(-6). Let a = -1.159 + 62.259. Let x = -61 + a. What is the smallest value in x, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 585*b**4 + 82187*b**3 - 1194045*b**2 - 58809564*b + 121728420 = 0. What is b?\nAnswer: -297, -23, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43416)\/2079 - -22 - 12\/21?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114)\/95*(-10)\/6. Suppose 2*n + 5*m - 3*m = -9530, 2*m - 9538 = l*n. Does 15 divide n\/(-27) + (-8)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 - 1749*r. Let j(m) = 6*m - 2. What is p(j(b))?\nAnswer: -144*b**2 - 10398*b + 3482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(1 - 7*m**5 + 6*m**5 + 15) - m**5 + 0*m**5 + 2*m**5.\nAnswer: -m**5 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 270671179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - -0.1. Let a = 0.27 - 2.77. Let p = a + 2.6. Put p, q, -5 in increasing order.\nAnswer: -5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - (sqrt(72) + 3 - sqrt(72))**2*-5.\nAnswer: 6*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -0.18. Let n = g + -0.01. Let f = -103\/15 + 20\/3. Put 1, f, n in increasing order.\nAnswer: f, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19117604153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/39 - 47\/156. Suppose 4 = 4*r - 0. Let v = r - n. Is 0 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 216 = i, -5*i = -2*s + 7*s - 340. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p**3 + p + 0*p + 21*p**3 + 23 in the form m*p**2 + b*p**3 + o + s*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 24.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 - (66\/(-11))\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1021925071 to the nearest integer?\nAnswer: 31968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59147?\nAnswer: 11, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*q + 1345, -3*q + 415 + 507 = 2*c. What are the prime factors of c?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*l**2*p**2 + 8*l**2*p - 3*l*p**2*t**2 - l*p*t + 5*p*t**2 wrt p?\nAnswer: 330*l**2 - 6*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -28, -5, -2 in descending order.\nAnswer: 1, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -2*q**6\/105 - 4*q**5\/35 - q**4\/7 + q + 43. Factor b(r).\nAnswer: -4*r**2*(r + 1)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {z: 3, y: 2, g: 7, v: 4, i: 1, b: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2. Let t(k) = -12*k + 5. Calculate b(t(m)).\nAnswer: 288*m**2 - 240*m + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.59 to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**4\/7 + 731*d**3\/7 - 769*d**2 + 10882*d\/7 - 6240\/7 = 0.\nAnswer: -80, 1, 2, 39\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:31 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 16.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6137 is divided by 74\/5*110\/(-2 + 24)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.988694885 - 49.\nAnswer: -48.011305115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbbbbbrrrbbb. What is prob of picking 2 r?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r**2 + 2685*r + 490 = 0.\nAnswer: -2\/11, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339 by -53.\nAnswer: 339\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 7*j - 13. Let l be b(9). Suppose l*d + 66 = -d. Let c = 12 + d. Calculate the remainder when 7 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*z + 37933 + 30151, 0 = -v - 4. What are the prime factors of z?\nAnswer: 2, 3, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61\/1098*(9 + -6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0 + 8*x**2 - 1\/8*x**4 + 2\/3*x**3 + 0*x. What is the units digit of g(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1078 - -1103.84. Let d = -29 + z. Let u = 0.16 + d. Sort -0.3, u, 0.3 in decreasing order.\nAnswer: 0.3, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -14*t + 20. Suppose 0*o = -2*o, -4*o = -5*z + 955. Let p = z + -151. What is the highest common factor of t and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from jjjktjkjjkktj?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence negs when four letters picked without replacement from {u: 7, n: 2, s: 1, y: 3, e: 2, g: 1}?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = z. Let o be -3 + 4 - z*-2. What are the prime factors of 1*19\/o*3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64019 is divided by 301?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12200 - -10?\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 57\/(-342) + 1134542\/876. Let d = i + -1295. Is d greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (304\/(-14))\/(1119800\/178150)?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -26008, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4, -q + 88 = 3*h - 36. Let j = 57821 - 57801. What is the lowest common multiple of j and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.613 and 0.175502?\nAnswer: 0.437498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w - 6. Let y be o(-8). Suppose -2*h + y - 2 = 0. What is the lowest common multiple of h and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 14*w**2 + 11*w + 5. Let z be u(-13). Suppose -44 = -b - b. Let x = z + b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1003 - 12003?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 11*m + 15. Determine u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/9 - 20*z\/3 - 50 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 94, -118 in ascending order.\nAnswer: -118, 2, 6, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-12)*(-24)\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -359*h. Let p(s) = -2*s**2 - 169*s + 33. What is p(j(i))?\nAnswer: -257762*i**2 + 60671*i + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/15 - 2)\/((-3)\/15). Let o be (1 + 13)*(-10)\/(-1). Let d be o\/21*(-12)\/(-10). What is the highest common factor of t and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*b**4 + 2*b**3 - 3*b - b**2 - 83*b**4 + 2*b**2 + 2 in the form o*b + u*b**4 + d*b**2 + g*b**3 + y and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1539\/5? (a) 3\/4 (b) 75 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1081\/854, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa (base 13) to base 3.\nAnswer: 102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 126060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 593792\nAnswer: -593791.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 2*c - 2*c + 9. Let a = -257 + 248. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - 11. Let n = o - -66. Let b be 450003 + (2\/(-4))\/(n\/(-6)). What is b rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 - 3. Let h(u) = -u**3 + u. Let t(d) = -2*h(d) - j(d). Determine t(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -3, -5, -1.\nAnswer: -5, -3, -1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 7, f: 9}. Give prob of sequence tqtt.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**3\/3 + 5*g**2\/2 - 2. Let o be z(-5). Suppose o = -6*x + 4*x + 14. What is the smallest common multiple of 9 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**3 - 34*y**2 + 31*y - 4. Calculate v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*x + 72 + 33 = 0, -2*x + 10 = 0. Suppose -98 + w = -3*u. What is the third derivative of 121*k**6 - k**2 - 4*k**2 - 141*k**u wrt k?\nAnswer: -2400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9033336 and -77?\nAnswer: 9033413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -4833, -9063, -13293, -17523, -21753?\nAnswer: -25983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137712 divided by -6?\nAnswer: -22952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + l + 80. Does 10 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 + 603. Is 39 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(147)*1 + (sqrt(3) - (-4 + sqrt(6)\/sqrt(2))) + (sqrt(120)\/sqrt(2) + sqrt(60) - sqrt(60))\/sqrt(5)))**2.\nAnswer: 1458*sqrt(3) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27214a + 5?\nAnswer: 272151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2994353 (base 11) in base 14?\nAnswer: -9777d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1926 + 1614 - 6718 - 9*g + 2311 to q*g + i and give i.\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54424 - -36889.6. Let y = -17539.39884 - t. Let d = 5 + y. Round d to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221299871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.036.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 14) to base 2.\nAnswer: 11110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 9 = 2*t. What is the remainder when 135 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10212 or -15392?\nAnswer: -15392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111101100 (base 2) in base 6?\nAnswer: -30512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/8*(6\/10)\/((-10395)\/550).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*l - 14 = -2*z, 0 = -z + 4*l - 2. Suppose -2*h = -10, -99 = -2*q + h - z*h. Let a = -27 + q. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, m: 1, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {z: 7, i: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27538*s**4 - 31134*s**2.\nAnswer: 660912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*w + 117*w + 278*w - 64*w = -23628 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose j*b - 159 = -4*l, -l - 2*b - 5 = -51. Let i be (7\/(-14))\/((-1)\/l). Solve 3*f - u + i = 0, u - 6 = -u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose 15 = -k*v + 7*v. Solve p + p - 5*p + 1 - p**3 + v*p**2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2082 + i + 0*i - 2*i.\nAnswer: -i + 2082","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1157*g**3 + 49*g**2 - 106*g - 1. Is r(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37641, -37603, -37545, -37473, -37393, -37311?\nAnswer: -37233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 2*o**2 - 4*o**2 + 10*o**2 - o**2 - 10*o + 10. Give y(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6439\/2 and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8096 or -8105?\nAnswer: -8105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-14))\/(15\/(-35)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) -13 (c) 34.2 (d) -1\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*114.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 256, 906, 2172, 4258?\nAnswer: 7368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -50. What is the biggest value in -4, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/126 and 43\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 862 - 865, 0 = -4*v - 3*c + 10061. What is the greatest common factor of v and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -17. Let y(h) = -h**3 + 7*h**2 - 7. Is 10 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8809*s**2. Let k(h) = 13*h**2. Determine f(k(b)).\nAnswer: 1488721*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 1024 = -33*x. Let o = 543 + x. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 = 5*z, -10*b + z - 11 = -6*b. Let x(g) = -3*g**2. What is x(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615*x = -975*x - 798*x + 3792 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 458568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -679 in increasing order.\nAnswer: -679, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/((-7)\/49). Let d be 0 - -3 - (2 - 6). Calculate the greatest common factor of d and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/15 (b) 0.4 (c) -2\/31 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63095072 is divided by 84?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*n = 166*n - k - 58857, 4*k + 11760 = n. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 66 + 2*w - 2*w**3 + w - 18*w**4 + 4*w**3 to g + y*w + u*w**2 + t*w**4 + l*w**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 911904 divided by -46.\nAnswer: -19824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)\/b**(-2\/39))**(-42))**(-2\/3) assuming b is positive.\nAnswer: b**(-256\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**3\/4 - 342*q**2 - 4023*q\/4 + 12231\/2 = 0?\nAnswer: -453, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -1 + sqrt(13) - (sqrt(13) - (sqrt(156)*-3)\/sqrt(12)) - -4*(sqrt(208)*2 + -4 - sqrt(208)).\nAnswer: -17 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 75 = -53*i + 23*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1.2, 0.1 in descending order.\nAnswer: 0.1, -0.4, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1*sqrt(3)*-3 + sqrt(6)\/(sqrt(6)\/sqrt(3)))*-4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72289435 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4*6)\/(2 - 0)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89393 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2553 and 381396?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9240)\/(-23562))\/(2\/51)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -30. Are -3\/11 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -86*s**2 + 242*s - 3. Let j(q) = 14*q**2 + 2*q + 1. Calculate 6*j(n) + u(n).\nAnswer: -2*n**2 + 254*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10390.6339 rounded to the nearest 10?\nAnswer: 10390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwq when three letters picked without replacement from ccfbiiqbbwi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/13)\/(-5))\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -764745.\nAnswer: -764763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let m = 6 - -2. Let z = m + -7.7. Which is the nearest to s? (a) 4 (b) z (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 1470064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h**2 + h + 5*h + 44*h**2.\nAnswer: -5*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 7*l)*(-3 + 1 - 1)*(-122*l**2 - 12 - l**3 + 122*l**2) to d*l**2 + z*l**4 + w*l**3 + t*l + s and give t.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + -5*(sqrt(1008) - ((sqrt(1008)*4 - sqrt(1008)) + sqrt(1008) + 3)) + -3)*3)**2.\nAnswer: 31320*sqrt(7) + 2042041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -13 - (-1)\/(4\/(-36)). Which is the second biggest value? (a) -0.25 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*v + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218841.3l to millilitres.\nAnswer: 218841300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552883.1 grams in kilograms?\nAnswer: 552.8831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 + 2.4. Let j be 2 - (0 - -4) - -1. Sort j, h, -5 in decreasing order.\nAnswer: h, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-30))\/2*3. Let u = -20.45 + 0.45. Let k = 37059 - 37062. Put u, p, k in descending order.\nAnswer: p, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 4*q**3 + 3*q**3 + 7*q**3 - 3*q**3 - 3*q**3 + (5*q**2 + 2*q**2 - 5*q**2)*(-4*q + 2*q + q) - q**3 + 5*q**3 - 2*q**3 - 3*q**3 + 3*q**3 + 4*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((3 - 3) + 1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.12, 392367?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 524865.123 to the nearest 100.\nAnswer: 524900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 931 divide 14191421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y + 5. Let o(c) = 28*c - 6. Let j(z) = -6*f(z) - 5*o(z). Let m(x) = -16*x. Let l(d) = 2*d + 0*d + d. Let i(u) = -24*l(u) - 5*m(u). Give i(j(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, -6 in descending order.\nAnswer: 16, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1159095 by -8.\nAnswer: -1159095\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 75.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2 + s - 8. Let t(j) = 9*j - 4. Calculate 26*l(y) + 6*t(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 + 1.405?\nAnswer: 5.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) - sqrt(171)*-1))\/((sqrt(9) + sqrt(225))*-4).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/30 and -119\/1908.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 16390538.\nAnswer: 49171614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*f - 155, 0 = -5*v + 2*f - 54 - 239. Let y = v - -94. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 * -0.3\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 66.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 431, 1005, 1809, 2843?\nAnswer: 4107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110100111011010000010 (base 2) to base 3\nAnswer: 10021002222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 5. Let s be p(8). Let f(t) = -2*t - 3. Let n be f(s). Let q be 3\/(-6)*2 - -1. Solve q = -n*z + 2*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h**2 - h**2 + 0*h**2 + 5*h**2 - 7 - h**3 + h**2 - 8*h. Determine g(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19100761733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10511630*z. Let t(l) = 2*l**2. Give t(c(v)).\nAnswer: 220988730513800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17653541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.066 and 0.5?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-4)*4\/(-6) - -56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380549 is divided by 1013.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by 1\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*z + 95*z + 82*z + 41*z)*(-4*z + 4*z + 2*z**3).\nAnswer: 350*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(14520\/55))\/(5\/(-24))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2\/7, 3\/90028, -0.2 in ascending order.\nAnswer: -0.2, 3\/90028, 2\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 921b10?\nAnswer: -921b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-72) - 1471\/(-120)) + (-14)\/105. Solve 2*b = -a - z, -3*a + 5*b + 5 + 14 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -153 - 17. Let o = k + 40. Calculate the remainder when 13 is divided by o*(-12)\/27*1*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12535115, 12535106, 12535085, 12535046, 12534983?\nAnswer: 12534890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:11 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2565 divided by 5.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 806452 or 4032258\/5?\nAnswer: 4032258\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65aa (base 13) to base 11.\nAnswer: a70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -199889 (base 16) in base 11?\nAnswer: -a46324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -707*s**4 - s*z - 18*z + 32 wrt s.\nAnswer: -2828*s**3 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24173 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*1*5)\/((sqrt(550)*-1 - sqrt(22))\/sqrt(11)).\nAnswer: -55*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5701 + -13.8131. What is q rounded to one dp?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*l + 3*d, 4 = -9*l + 4*l - d. Let k = -9 + 19. Suppose 5*v - k = l, v + 0*v = x - 22. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 12 = -0*b. Suppose -h = -b*h - 99000. Round h to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*r**2 - 26*r**2 - 7*r**2 to the form x*r + a*r**2 + w and give a.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*m + 21 = -j - 201*m, -3*m = j - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -25*c - 962. Calculate l(-5).\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96)\/360)\/(12\/(-10)))\/(32\/(-24)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.294352665 rounded to 5 decimal places?\nAnswer: 0.29435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + 2*f)*(-44 + 17 + 94)*(-3*f + 6*f - 2*f + (-3 + 1 + 4)*(-4*f + 0*f + 3*f) + 0*f + 4*f - f).\nAnswer: 268*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29430 and 654?\nAnswer: 29430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) 5 (d) -5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 2*r + 4*d, -582 = -3*r + 3*d + 54. Let v = -7 + 9. Is 4\/((-8)\/v) + r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from xabbb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r**2 - 6*r - 2. Let n be c(-5). Let a = -355 + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 + j. Suppose -4*x + 12 = -0*x. Let q(o) = -3*o**2 - o. Let f(t) = x*v(t) + q(t). Find the second derivative of f(u) wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368006 and 1206?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d**3*w**5 - 3*d**3 - 6*d*w + 247*d + 10930*w**5 + 1019*w + 1 wrt w.\nAnswer: 500*d**3*w**3 + 218600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11681 - -11690. Suppose -5*u - 188 = -978. Suppose u = o*i - 7*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbnn when four letters picked without replacement from {b: 4, n: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20106 = -116*i + 850. Suppose 2*q - s + 334 = 0, -861 = 5*q + 3*s - 37. Are i and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 356\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32\/(13\/(-364)*-2) and 112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 30671*m**2\/4 + 76665*m\/2.\nAnswer: m*(m + 5)*(m + 30666)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b41 (base 13) in base 7?\nAnswer: 5401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 106*i - 432. Determine f(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58511, -133861, -209211?\nAnswer: -284561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7*q = -0*q. Suppose 3\/5*f**5 + 0 + q*f - 3\/5*f**4 - 3\/5*f**3 + 3\/5*f**2 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7))**(9\/2))**(-12\/13) assuming g is positive.\nAnswer: g**(-486\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + 281 + 0\/2. Suppose -z + 5*z - l = 0. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3 - -2))\/((-18)\/27). Solve -12 + 0 = h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155966918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 - 209 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31915 (base 10) in base 15?\nAnswer: -96ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*u - 5*u - 61, 4*z = -2*u - 10. Let c = u + 11. Suppose 69 = -c*a + 3*a. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4268, 9321, 14366, 19397, 24408, 29393, 34346, 39261?\n\"Answer: -x**3 + 2*x**2 + 5054*x - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 5*c - 2. Let l(b) = -7*b**3 - 9*b - 4. Let v be -1 + 2 + (1 - -1). What is v*l(w) - 5*i(w)?\nAnswer: -w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057979 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23276 - 31995 = 4*r, -2*r = -4*g + 221154. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 68*y + 16. Let f be a(16). Let v be (1\/(-4))\/((-5)\/f). Solve -3*l - 4*k + 5 = 19, -3*l = -v*k - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 237473?\nAnswer: 237473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6917.\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 99*k - 278. Let d(i) = i - 4. Let t be d(0). What is the remainder when l(3) is divided by (-20)\/(-3)*(-6)\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6.2 (b) -1\/6811 (c) 0.3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42699691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 49, 55, 61?\n\"Answer: 6*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 5, -6, 23, 2\/9 in increasing order.\nAnswer: -6, -0.8, 2\/9, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(4))**2 + (sqrt(5) + sqrt(540)\/sqrt(3) - sqrt(5)) + -5*5*(sqrt(5)*1 + sqrt(5) + 3).\nAnswer: -44*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 15 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/(-22 + (-11064)\/(-504)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128926 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -6*d - 16*d. Solve -30 = -2*v - 5*l, 4*l - d - 1 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let m(q) = -263*q. Give m(j(c)).\nAnswer: 263*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26918, -26941, -26964, -26987, -27010?\nAnswer: -27033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 408744575 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1739 is divided by 75.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:10 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - o + 30. Let p be l(0). Suppose -3*g + 6*g + 90 = 0. Let u = p + g. Solve u = -a + 5*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96363 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose r*p + g + g - 41 = 0, -2*p + 28 = 2*g. Suppose 5*s - 4*d = 54 - 21, -12 = -4*s - 4*d. Calculate the remainder when p is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*k = 2*v - 32, -16567*k = -16587*k + 5*v - 90 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-85)*(-2)\/4 + 3\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(4\/((-12)\/3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 8*z + 12*z**2 + 13*z**2 + 24 - 26*z**2 + 4*z. What is b(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 701 + -1375\/2. Let s = 670 + -6049\/9. What is the common denominator of j and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 3*s + 5*s + 2*s - s + s + 0*s - 2*s + s + (-4 + 0 + 2)*(-2*s + 2*s + s) + 5*s + 0 + 0 in the form p*s + o and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140304, 140302, 140300?\nAnswer: 140298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1705 or 0?\nAnswer: -2\/1705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 7093248 and 7093247 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 + 17 = 0. Is 3 a factor of (-1)\/(3\/g - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 965 - 855. Suppose -3*t = -2*t + 39. Let q = n + t. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 27 = -3. Suppose -f*j = -13*j + 65. Find the first derivative of -j*k**4 - 17*k**2 + 13 + 17*k**2 wrt k.\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141.10136 or 3?\nAnswer: -141.10136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261 + 1148*f**3 - 521 - 1151*f**3 + 260.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 84873683629 and 1320.\nAnswer: 84873684949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -106, -237, -410, -619, -858?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 69015.\nAnswer: 23\/23005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**2 - 51*s + 51*s - 5*s**2 + 12*s**2 + s**2 + (-4*s + 2*s - s)*(-6*s + s + 2*s).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 2 + 0 + 4*t**2 - t**3 - 3*t. Let d = -5 + 3. What is the units digit of h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*b + 10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**2 + 3*d**2 - 12*d**2 as f*d + k + p*d**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a tonne in kilograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -264, -309\/4, -155?\nAnswer: -309\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/9, 173, -3, -16?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8505 and 22815?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10335605?\nAnswer: 5, 7, 197, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, -1\/4.\nAnswer: -3, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 30*w + 1. Determine x(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(209) + sqrt(209)))\/sqrt(11))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30433, -121676, -273765, -486700, -760481?\nAnswer: -1095108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 121. What is the second biggest value in 3, b, 13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12361820*c**2*h + 5540630*c**2 with respect to h.\nAnswer: 12361820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2)*-2 + (-12 + 29 - 12). Sort 1, -1878\/11, c in ascending order.\nAnswer: -1878\/11, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 2.4 (b) -3\/4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqw when three letters picked without replacement from {h: 5, w: 4, q: 3, g: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113993 + 113993 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 3. Let w be c(-2). Solve 0 = -y + w*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3 = -2*x, 264 = 5*b + x + 268 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 490.2224 meters?\nAnswer: 49022.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-441\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + 2*l)*(2*l**2 + 2*l**2 - 5*l**2) + l**3 - l + l + (2*l**2 + 2*l**2 + 5*l**2)*(6*l + 0*l - 3*l).\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212 - -12?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.1 (b) 5 (c) 15\/121 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66872 is divided by 662.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2093787253255 and 0.02.\nAnswer: -2093787253254.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 - 4*g**2 - 6*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.16 + 0.16. Let c = 0.2 - -0.8. Let g = c - s. Put g, -0.5, -1 in descending order.\nAnswer: g, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 1, u: 2, l: 1, m: 1, b: 1}. What is prob of sequence lumb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:46 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 1. Let i(j) = 14*j + 21. Give -21*c(z) - i(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v - 2*j = 12, 0 = 4*v - 3*j - 14. Suppose -1 + 16*g**v - 8*g + 3 - 6*g - 7*g**3 + 3*g = 0. Calculate g.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:58 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59872 is divided by 637.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011100 - 1000100?\nAnswer: 10101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121012112 (base 3) in base 15?\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + (-32)\/(-5). Calculate the greatest common factor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 36, 48, 76, 126, 204, 316, 468?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586698*n**2 - 586698*n**2 + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6)*(-2)\/(-12)*492\/89913*-86\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.8 + 20.83. Let f = m + -0.03. Let h = -12 + 11. What is the closest to h in -1\/9, 0.3, f?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*-4 - 3*1*sqrt(132))\/((sqrt(1200) + sqrt(1200)*-2 - sqrt(1200))*3*1).\nAnswer: -sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19436 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -72 (b) -25 (c) -0.6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1114 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*w + 3, 0 = 5*w + 6*p - p + 20. Suppose -90 = -15*z + 150. Sort z, -1, w in descending order.\nAnswer: z, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17680 and 22283872.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**4\/2 + m**3\/3 + 1921. Determine p(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75921459 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6065 + 6060. Which is the second biggest value? (a) p (b) 1\/2 (c) 0.03 (d) 3 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-621)*(-15)\/(-10))\/((-10)\/60).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(((-22)\/946*-43)\/((-2)\/(-4)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 8 + 48\/20. Find n, given that 0 + 2\/5*n**2 - u*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4)*(2 + 5 - 1)*(-11*w + 9*w - 33*w) to the form l + k*w and give k.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-16)*264\/1080*18?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 + -37.86. Let f = -64 - s. Let n = -26.055 - f. What is n rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38784475*b**4 - 238*b - 82580 wrt b?\nAnswer: 465413700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.829 + -0.171. Put x, 1, -1\/5 in ascending order.\nAnswer: x, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d - 12. Let z be q(5). Solve -11 = -5*m - 2*g, m + 0*g = -z*g - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3492275.\nAnswer: 5, 163, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22024441 (base 5) to base 8\nAnswer: -561673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/9020 and -1\/5038.\nAnswer: 2065580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32780700 is divided by 280?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -152393422.\nAnswer: -152393431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -20*j + 305. Let k(x) = -11*x + 152. Let z(y) = 5*k(y) - 2*r(y). Let o be z(10). Solve 2*v - 5*w = o, -v + 4*v - 4*w - 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1956911117 and 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - (-1 - -8 - (-3 + 8))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 2*m - 2, 2*m - o - 5 = 0. What is the remainder when 5 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 + 2*z + 5. Let r be g(-6). Let d(x) = -5 + 5 + 27*x - r*x. Let i(c) = -7*c. Give d(i(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -5, 12, 31, 52?\n\"Answer: l**2 + 12*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 20 - 15 + 33. Let p be x(5). Let l(z) = z**3 + 20*z - 5*z + p*z**2 - 7*z - 7*z - 3. What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4349 and 32?\nAnswer: 139168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8956871 divided by -6\nAnswer: 8956871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*6 + -3 + 4. Suppose c = -3*u + 5*g, 5*u - 2*g = -3*g + 25. Suppose u*f - 3 - 13 = 0. Solve -4*w = -5*h - 4 - 0, 3*w - 4*h = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(0 + 3 + 1). Let i = 11 + v. Suppose -c = -2*g - i, 13 = 3*c - 3*g + g. What is the third biggest value in c, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -778.58 and 13.\nAnswer: -10121.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13123*g - 288791. Give b(-22).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in 0.1, -1.2, -25\/4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 32 = 7*a. Solve m - 8 = -7*y + 3*y, -m + 4*y = a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.2861822 + -0.0062572. Let c = -9.27 + t. Let z = -0.01 + c. What is z rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10*y + 15. Suppose 0 = -8*m + 86 + 298. Let i(b) = -2*b - m*b**2 + 47*b**2 + 3 + 3*b. What is i(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-6)*-1)\/(333\/(-4662))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5846 + 5837. Which is the second smallest value? (a) -44 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1069835 + 1069837. Factor -1\/5 - 3\/5*f - 2\/5*f**l.\nAnswer: -(f + 1)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 456 = 117. List the prime factors of v.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 1473 = g + h, 3*h + 12 = 0. What are the prime factors of g?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 - 2*g**2 + 2*g + 3. Let f be n(-2). Solve 8*o + 69 = f*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*y - 100, 60 = 3*a + 5*y - 86. Let d = 63 + a. Let l = -115 + d. Solve -2*h - 3*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 17 = -4. Let k = o - -19. Let w be k\/(-8)*(-20)\/(-18). Which is the biggest value? (a) 1\/6 (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Let f = t + 0. Suppose -o = -f*o. Solve -2*k - 2 = -3*u + 3, 3*k - 5*u + 9 = o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20.67 in -10, -15, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = 3*c - 60, -2*c = -4*r - 60. Solve 4*o - c = o - 4*u, 2*o + 3*u - 17 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 15 + 0 + -3732 + 3817?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 2*l**2 + 11*l - 12.\nAnswer: -(l - 2)**2*(l + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/11)\/((-2)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 + 5*y + 7. Let w be 5\/15 + (-12)\/9. Suppose l = -l + 10. Let i(f) = -f**2 + f + 1. Determine l*i(r) + w*c(r).\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h + 16. Let z be x(1). What is the second derivative of -41*s**2 + 0*s + 21*s**2 - 17 + 20*s**3 + 23*s**2 + z - s wrt s?\nAnswer: 120*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190832 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497105098 to the power of 1\/2, to the nearest integer?\nAnswer: 38692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n. Let o be (-10)\/(-6)*(-4 + 7). Let z(q) = -o*q - 4*q + 11*q. Determine b(z(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 + 13*o - 34*o + 19*o)*(3*o - 2*o - 5 + 1) - o + o - 2*o**2 to w*o**2 + m + c*o and give c.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11120061263 + -4?\nAnswer: 11120061256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -71*w + 767. Let d be g(10). Solve -27 = 6*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*l - 193*l - 4 + 2)*(-l**2 - 3*l**2 + 2*l**2 + (l + 0*l + 0*l)*(-7 + 4*l + 7)).\nAnswer: 10*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 341*n**3 - 1351*n**2 + 1011*n.\nAnswer: -n*(n - 337)*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4949 + 4853 + a + 12*a**2 - 2*a - 4*a**2 as v*a**2 + n*a + m and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(3220\/46))\/(9\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3371.962 - 3369. Let l = w + 0.038. Let i = 0.05 - -0.95. Which is the nearest to i? (a) -0.3 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from xbxxbxxx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 divided by -103?\nAnswer: -1226\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 12*z - 2 = 0. Solve -5*b = -x, -z*x = b + x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 5*b**2 - b - 5. Let l(y) = 4*y**3 + 7*y**2 + y + 8. What is 5*l(n) + 7*t(n)?\nAnswer: -n**3 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 5*n**2 - n - 4. Determine y(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 19 = -2*o, 35 = -0*o + 5*o - 4*h. Suppose 0 = -0*k + k - o. Suppose -4*s + 4 = -0*s + k*y, -s = 3*y + 8. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t + 34 = 5*m + 41*t, 5*m + 4*t = -8. Let w be (-4)\/(-14) - (-76)\/(-70). Which is the third biggest value? (a) -1\/3 (b) 1 (c) m (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 5*j - 4*z, 1413*j - 1412*j - 4*z = 5 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1108719, -1108723, -1108729, -1108737, -1108747, -1108759?\n\"Answer: -r**2 - r - 1108717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 2*i, 3*g - 4*i = 37 - 32. Suppose -x - 2*x + 11 = -h, 4*h + 4*x + 12 = 0. Which is the biggest value? (a) 1 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 360*x + 27*x**2 + 242*x.\nAnswer: 28*x**2 + 602*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2147348 divided by -1447.\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/8820 - f**6\/1260 + 5*f**4\/24 + f**2. Let s(k) be the second derivative of y(k). Factor s(r).\nAnswer: 2*r*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196*(-138)\/23*12\/3024*12.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 202\/13*m**2 + 776\/13*m + 2\/13*m**3 + 0 = 0?\nAnswer: -97, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30 and -19\/13600?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 154\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*b - 207*b = -46596. Let u = -19308\/5 - b. Which is smaller: 21 or u?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1. Let u(q) = 3*q + 3. Suppose 320*x - 69 = -389. What is x*u(n) + 3*w(n)?\nAnswer: -3*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/9, 0.1, 0.1635 in increasing order.\nAnswer: -2\/9, -1\/9, 0.1, 0.1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 23*m = 20*m - 6, -d = -2*m + 5. Determine r so that 10\/13*r**2 - 2\/13*r**4 + 0*r**d - 8\/13 + 0*r = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 3*d**2)*(3*d - 4*d - 4 - 2*d) + 2*d**3 + d**3 - d**3.\nAnswer: 11*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.2 + 1.2. Let u = 296.6 - 269.611. Let r = u + o. Round r to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2898 - 20284\/7. Determine d so that -h + 4\/7*d - 2\/7*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 58603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)*-3 - -2*(sqrt(88) + sqrt(88)*2))\/((sqrt(56) + sqrt(392)\/sqrt(112))\/(sqrt(7) - (sqrt(14)\/sqrt(2) + sqrt(7))*-2)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(425) - (sqrt(425)*-2 + -1)))**2*6.\nAnswer: 1620*sqrt(17) + 206604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 48. Suppose 0 = -6*m + p + 8. Let y(w) = w**2 + 3*w + 4. Let g be y(m). Which is smaller: 23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(52)\/sqrt(4) - sqrt(104)\/(sqrt(24)\/sqrt(3))) + -3)**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1595924530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0 + 19*p + 15\/14*p**7 + 71\/2*p**5 + 55\/3*p**4 - 145\/2*p**3 + 45*p**2 + 11*p**6. Find d, given that z(d) = 0.\nAnswer: -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 5*p**2 + 14*p**2 - 2*p**2 - 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (6 - 2) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 64823.\nAnswer: 713053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(108) + sqrt(12) - sqrt(12)) - sqrt(19)) + 2.\nAnswer: -2*sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**3 + 6*t**2 - t**2 + t**3 + 2*t**3 wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y - 2. Suppose 22*o + 20 - 152 = 0. Let u(q) = -6*q + 2. What is o*u(w) + 7*p(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(-2 + sqrt(19) + -1) + -1.\nAnswer: -12*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.8. Let t(f) = f**3 + 20*f**2 - f - 16. Let m be t(-20). What is the second smallest value in 0.3, m, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**4\/4 + 2*d**3 - 3*d**2 + 6*d + 1. Let a be h(4). Calculate the greatest common factor of a and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 468152*-0.2\nAnswer: -93630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (192*u + 117*u - 1990 + 1986)*(-5*u + 2*u + 4*u) in the form r*u**2 + t*u + s and give r.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 = 46*c - 137*c + 1587. Calculate the smallest common multiple of c and 8159.\nAnswer: 89749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(8 - 5 + 2) + (-2*o - 2*o + o)*(6 + 8 - 9) - 2*o - 19*o + 12*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*v + 5*x, -4*x = -5*v + x + 20. Let u be (v\/14)\/((-10)\/16). Which is the third biggest value? (a) 3 (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*-6)\/sqrt(8) + (sqrt(1872) - (-2 + sqrt(1872) + sqrt(1872))**2) + -1 + sqrt(1872).\nAnswer: -7493 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.9. Let p = 0.4 - z. What is the closest to 0.1 in 2, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, d: 6, j: 4, z: 3}. What is prob of picking 1 u and 1 z?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/13*((-2)\/13)\/((-418)\/2717)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546639700 divided by 5.\nAnswer: -109327940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3643 - 3571. What is the nearest to -2 in f, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 20*p - 23 - 9.\nAnswer: -20*p - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*g - 2*k, -5*g + 5*k + 25 = 0. Suppose 5*b + 5 = -t, 4*b = 2*b + 4*t - g. List the prime factors of b\/1*3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 43*s**2 - 18*s + 249. What is the thousands digit of l(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/8 + 10094055*z\/8 + 25235175\/4.\nAnswer: -3*(z - 3364690)*(z + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -145.\nAnswer: 21\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*a + 4*a - 7*a + 14*a in the form v + w*a and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-123\nAnswer: 3.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23784 + 24934. Calculate the lowest common multiple of m and 75.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 8*f**2 + 8*f + 13. Let n be s(9). What is the first derivative of 4*t**4 - 7*t**n + 1 + 2 + 0 wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54431?\nAnswer: 13, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -5 - 2 - 2. Let d(u) be the first derivative of 1631*u**2\/2 + 22. Is d(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*y = 4*y + 45, 5*y - 25 = 0. Calculate the remainder when (19\/(-2))\/(2 + (-27)\/12) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1998826 or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46903 - -46903.0000130884. Round f to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -48. Suppose 5*q = x + 129, -g*q - 24 = -x - 127. Calculate the highest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o**(-14)))\/o)\/o**(-1\/17))**(-1\/7) assuming o is positive.\nAnswer: o**(-239\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -17724?\nAnswer: 17721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2*x**3\/3 + 10*x**2 - 48*x + 22. Let w(a) = 0. What is a?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153438\/15 - (1 - 208\/(-40) - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*6*2*4)\/(((sqrt(168)*2)\/sqrt(7))\/(-2*sqrt(864))).\nAnswer: -1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 < 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 2*p + 3*p - 21. Let u be b(7). Suppose -2*s + 0 + 10 = 0. Solve 2*h - 1 = -y - u, -5*y - 40 = -s*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/127? (a) 5\/6 (b) -5 (c) 2\/11 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9 - 12 + 11*j.\nAnswer: 11*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12593 (base 13) to base 16.\nAnswer: -8480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 3*p**4 + 0*p**4 + 0*p**4 + p**4 + 0*p**4 + (-3 + 4 - 2)*(-p**4 + p**3 - p**3) + 3*p + 2*p**4 - 3*p + (-4*p**4 + 2*p**4 + 4*p**4)*(-2 + 1 - 2).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 130578 and 130572 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -603 + -1521626?\nAnswer: -1522532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -55433 divided by 11\nAnswer: -55433\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 3}. Give prob of sequence fj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*w = 267, 0 = 3*g + g + 4*w - 1064. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56794242, 113588481, 170382720, 227176959?\n\"Answer: 56794239*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 13 - -2 - -20. Calculate the highest common divisor of c and 1536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 5742, -1\/7 in ascending order.\nAnswer: -1\/7, 137, 5742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*u + 146. Suppose 4*z - 3*a = 45, -14*a + 17*a = 2*z - 21. What is the remainder when u is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0 + 0 - 124*t + 123*t. Let z(a) be the third derivative of 5*a**4\/24 + a**2. Calculate z(w(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21305160979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 7*x**2 + 10*x + 20. Let k be j(-8). Let p(t) = -t + 8. Let y be p(k). Let z be 0*3\/(24\/y). Solve 3*b = 4*b, z = -4*u + 5*b + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 424\/3. Let y be ((-2)\/(-12))\/((-1)\/(-8)). Suppose 2*z + q*z**2 + y = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*14*803\/1606?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = 0, 0 = 4*p - p + 2*j - 27046. Suppose -p + 682 = -4*l. Let s = -1205 + l. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 60 = -5*h, 5*n = 2*h - 4*h + 69. Suppose 0 = -4*d + 9*d - n. Suppose 2*j + j + 3*q - 48 = 0, -4*j + d*q + 57 = 0. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174843 or 174844?\nAnswer: 174843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -11*g + 188. Suppose -3*l - 2*h = -g, -l + 2*h + 22 = -0*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t**3 - 3*t + 2. Let f be w(1). Solve 4*s - 6*s - 3*b = -f, -4*b = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 83. Let q(z) = 12 - 4*z - 43 - 4*z + p*z. Calculate the smallest common multiple of q(-15) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78228 * 5.\nAnswer: -391140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 63*l + 77. Give k(-28).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 138. Let n = -129 - -91. Let u = -15 - n. Calculate the highest common factor of o and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**2 - k**2 - 3*k**2)*(-4 - 1 - 2 + (-2 + 6 - 2)*(-1 - 9 - 5)) to y*k**2 + x + a*k and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 4*t - 6. Let a be u(6). Find the third derivative of 169 - s**2 + 16*s**a - 2*s**2 - 169 wrt s.\nAnswer: 1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57453308?\nAnswer: 2, 11, 1013, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 24) + (-159 - -201)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 = 3*z. Suppose z*y - 102 = 4*r, -r = 3*y - 25 - 43. Suppose 2*k + 5*o - 3 = 0, 8*o - y = -3*k + 4*o. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/20 + 5*o**4\/4 - 10*o**3\/3 - 5*o**2\/2 - 2*o. Is s(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -21\/5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -5.54, -54 in increasing order.\nAnswer: -121, -54, -5.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15074 (base 12) in base 16?\nAnswer: 7318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326*s - 2097*s - 1620*s.\nAnswer: -7043*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 7*y**2 - 2*y**2 + 3 - 2*y**2 + 12*y - 5*y**2 - 12*y + y - y + y**2 - y**2 + 0*y + 0*y + (2*y - 3 + 3)*(y - 2*y + 2*y) - 2*y**2 + 1 - 1.\nAnswer: -2*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s. Suppose -81 = -4*x + 3*x + 3*i, s = -5*x + i + 433. Suppose -w = 2*w - x. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 27*d + 2840 = 12*d - 15*d for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155889*m - 114835 = -154924*m for m.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101702 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -9. Let f be (-12)\/102 + 54\/170. Put o, 0, f in descending order.\nAnswer: f, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 20*w**3 - 10*w**3 - 11*w**3 + (3 + 1 - 3)*(-w**2 - w**3 + w**2) + 2*w**3 - 3*w**3 - w**3 + w**3 - w**3 + w**3.\nAnswer: -3*w**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.77 rounded to 1 decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1517621*x**2 - 758626*x**2 - 758996*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g + 3. Let l be r(8). Let w be (-6)\/(-3)*l*(-6)\/9. Let u be 3*(w + 0 + 3). Let t(h) = 3*h. Let i(b) = 3*b. Determine u*i(f) + 2*t(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*a**2 + 267*a**3 - 182*a**2 - 1 + 2 - 164*a**2.\nAnswer: 267*a**3 - 4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(162)*-2 - 2*sqrt(162)*-2) + 6*sqrt(162)*-2*-5)**2.\nAnswer: 622728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.410994358 + -0.411. Round s to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88ff49 (base 16) to base 13.\nAnswer: 1b24797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 108264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6745 + -54037\/8. Find the common denominator of -55\/2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 262630 and -0.4.\nAnswer: 262629.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5752 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54b2 (base 15) to base 9.\nAnswer: 26545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n)**39*n*n*n*n**(-1\/6)\/n*n\/n**(-5) assuming n is positive.\nAnswer: n**(1685\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*b - 24 = 0, 5*r + 1 - 17 = 231223*b - 231225*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4357 - -4382. Solve -31*q = -l*q - 36 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 0*d - 3*d - d. Let o(r) = 4*r. Suppose 94*w + 60 = 79*w. Determine w*o(k) + 12*f(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.35. Let j = y - 0.05. What is the second biggest value in j, 1\/5, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*y + 46*y - 73*y - 1056 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 307*n**2 - 8864*n + 2052. Give k(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 30 = 3*q. Let o(y) = y**2 + y - 18. Let h be o(q). Suppose 11*n + 22 = h*n. Calculate the greatest common divisor of 77 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17470)\/(-525) - (-18)\/315 - (-800)\/300?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, w: 2, p: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6354, -6349, -6340, -6327, -6310, -6289?\n\"Answer: 2*t**2 - t - 6355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 712669*a**2 + 1000659 wrt a?\nAnswer: 1425338*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1\/3, -0.02, 2\/3, 0.145, -7\/4?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -433?\nAnswer: 5\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -2 + -1 - (-11 + 2 + -10 + 20).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y**5 + 0*y + 0*y**2 + 1\/2*y**6 - 4*y**3 - 5 + 0*y**4. Find the third derivative of k(l) wrt l.\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2, 123 in ascending order.\nAnswer: -4, -3, -2, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 512*g - 3153. Calculate k(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -6. Let a(v) = -v - 5. Calculate a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 217\/54?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/11 and (1 - 161\/(-6)) + -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -184. Let q = 15 + d. Calculate the highest common factor of q and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 15*f - 18. Determine k(14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15475 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*6\/(-18)*9\/(-2). Calculate the highest common divisor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 t when three letters picked without replacement from {c: 1, t: 1, n: 1, r: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 19 (b) -2\/3 (c) -3\/7 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**(1\/6))\/(w**2)**48 assuming w is positive.\nAnswer: w**(-557\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -823 + 818. Let j = -0.5 - -0.3. What is the closest to 0.2 in o, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140453180.\nAnswer: 2, 5, 7, 23, 53, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m - 1683. Let a(o) = -o. What is v(a(q))?\nAnswer: -q**2 - q - 1683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 39*w + 245. Let n be i(50). Calculate the highest common factor of n and 510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 3*f**2 + 0*f**2 + (3*f - f - 4*f)*(-3*f + 3*f - f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 3, t: 2, m: 4, s: 1, p: 2}. Give prob of sequence pte.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -44 in decreasing order.\nAnswer: 2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/85)\/(-8))\/(-1)*5?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 673522376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47597989.\nAnswer: 31, 571, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 508359 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*p, 2*f + 2*p - 13 - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -15. Suppose -5*o + k = 5*d, 3*o - 8 = o. Suppose -2\/3 - 2\/3*g**d - 4\/3*g = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58974, -58971, -58964, -58953?\nAnswer: -58938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u - 87*u + 53*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) -6 (c) 2061 (d) -22 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.0518 * -0.5.\nAnswer: -6.5259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*d + 2. Suppose -3*b + 4*b - d = 0. Suppose -b*k + 4*u + 30 = 0, -2*k - k = -5*u - 46. Solve -2*i - 14 = 4*l, -l - 5*i = 3*l + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926715423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2642.71034 rounded to the nearest 10?\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 2, z: 3, r: 1, c: 1, w: 3}. What is prob of sequence ir?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-1 + 0 + 3)*(-1 - 1 - 1)*(3*v**3 - 5*v**3 + 0*v**3).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127249.714629 - -126891.715. Let p = x + 358. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -427, -426, -421?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + x + 2 - 39, 3*j - 2*x = -18. Let y = 0 - j. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111335 is divided by 293.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 126535 or 126534?\nAnswer: 126534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 6 (c) 10278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195110314 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266562?\nAnswer: 2, 41, 131, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 298?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 + (9 - 2) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1746.4 + 1743. What is the nearest to -0.2 in -1\/3, c, -4\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(15\/27 - (-272)\/612)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2120 + -13331133?\nAnswer: -13333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*g + 15, 15 = 5*l + 3*g - 14. Let f = 15 + -9. Let x = f - l. What is the biggest value in -0.5, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vev. What is prob of sequence ve?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:59 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/(11\/(-924)*6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257 - -376. Let z = u + -54. Let d = -28 + z. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3, -p = -4*u - 259 - 286. Let j = u + 658. Calculate the highest common factor of 58 and j.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*6\/(-26)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 2*p - 16. Give q(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -17 - (35 + -49).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 - 2*x + 4. Determine b(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 7, j: 1, e: 1}. What is prob of sequence bbbe?\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from 0.4.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (0 - (10 - 4) - (-3 + 6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 18 - 34 = -35*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 - 12 = 4*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -4 (c) 2.58 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let a be (-6)\/(-12)*(5 + 2\/2). Solve x = r - q, 2*r - 1 = a*x - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201840?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014332293 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 5*i - 11 + 0*i - 2*i as k*i + q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3971 by -1.\nAnswer: -3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3358349, -3358356, -3358363, -3358370, -3358377?\nAnswer: -3358384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107705 to the power of 1\/2, to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a hour in seconds?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4638561?\nAnswer: 3, 31, 49877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -150*y + 10851. Give x(101).\nAnswer: -4299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a + 4*i - 14 = 0, -5*a + 2*i + 32 = 0. Solve 11*p = 13*p + a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 20*p - 18*p + 21*p + 0*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -j, f - 4152*j + 38 = -2067*j - 2075*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 110 = -4*r. Suppose x + 6 = 3*p, -4*x - x + r = 5*p. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from tkcrrccrkrcccktkkcr?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**12)\/h*h)**11\/(h\/(h\/(h*h**(-11)))*h**(-3)) assuming h is positive.\nAnswer: h**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 42611827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/18)\/(308\/(-84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-48)\/21)\/(-4))*(-124)\/(-217)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-5\/3)*(s**0*s)\/(s**(-2\/3)\/s)*s**6*s*s*s*s**(-2\/19)*(s\/(s\/(s\/(s*s*s*s\/s**2*s*s))))**(5\/3) assuming s is positive.\nAnswer: s**(653\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(-4*f**2 - 3*f**2 + 5*f**2) - 115*f + 115*f + 102*f**2 + 2*f**2 + f - f)*(-2*f**2 - f**2 + 4*f**2).\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 2 - 24)*(4*p - 4*p + p) - p + 3*p + 0*p)*(-4 + 4 - 1).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or -586?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**4 + 2*n**4 + n**4 - 2*n**4 + 7*n**4 + n**4 + (-6*n + 0*n + n)*(3*n**2 - 15*n**3 - 3*n**2) as u*n + a + r*n**2 + d*n**3 + h*n**4 and give h.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -611*h + 17691. Determine v(29).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12749239*f + 5611483?\nAnswer: -12749239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200448199?\nAnswer: 1200448199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 124*o - 51*o - 20*o - 6*o**2 - 53*o.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - n = -149, 4*i - 356 = n + 240. What is the remainder when 1483 is divided by i?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/8)*c)\/c)**(5\/6)\/(c**(-32)\/c**4) assuming c is positive.\nAnswer: c**(581\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*w = 425*w + 15, -3*d = -2*w - 448. Is 289\/2 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-10 - -13)) + 10 + -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286505?\nAnswer: 5, 57301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1071*w**2 + 354*w - 354*w + 776*w**2 + 3382*w**2 + 9387*w**2.\nAnswer: 12474*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -25 (b) 1209 (c) -11 (d) -0.3 (e) 6 (f) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t**3 + 5*t**2 - 5*t + 4. Let d be g(4). Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 13 = 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:15 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 16709*o - 2665003. Determine p(-158).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.864495 and -43.\nAnswer: 80.173285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + 23*m - 25*m + 71)*(1 - 6 + 1).\nAnswer: 8*m - 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20*(12\/(-4))\/(-3). Suppose -3*j + 6 = -j. Suppose j*t + 16 = 4*c + c, -i = -c - 5*t. Solve x - c = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3872270290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -15. Solve -3 = r, z*f + f = -4*r + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 88*j**3 - j + 112*j**3 + j**2 to c + q*j + t*j**2 + d*j**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j*j\/((j\/j**(-26))\/j)))*j\/j**(34\/5)*(j**40)**(-11) assuming j is positive.\nAnswer: j**(-2344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/((-122)\/183).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13338 - 4994. Suppose -16*i = -q - 4376. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97385 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - -214. Suppose 3*r - k - 3*k = 703, 0 = -r - 5*k + d. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16 less than or equal to -1341\/757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(-d**3 - d**3 + 0*d**3)*(-42 + 42 + 87*d) as f*d**3 + v*d**2 + a + n*d**4 + t*d and give n.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 52*k**2 - 291*k + 201. Calculate p(57).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-76) + (-1929666)\/(-114).\nAnswer: 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/869?\nAnswer: 10\/869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:31 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 470450.3us?\nAnswer: 470.4503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -14*c - 18. Solve l - c*l = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616408719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/35 and -25\/49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**2 + 3*m**2 + 4*m**2 - 2*m**2 in the form f + w*m**2 + c*m and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 3*q**2 + 4*q**2 - 16*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*o + 25 = 2*q, 2*o = -5*q + 10. Suppose -16 = -q*x - 2*x. Factor -1 + 7\/2*g**3 - x*g**2 + 11\/2*g.\nAnswer: (g - 1)**2*(7*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 60 + s - 357 - 289.\nAnswer: s - 637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 4. Let i be t(8). Let a = -37\/20 - 2\/5. Find the common denominator of a and (i\/4)\/(12\/(-85)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102\/5 + -23\/20. Find the common denominator of -6 + (-6768)\/(-704) + (-6)\/8 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.10088 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 1049, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 4*p. Let j be h(-4). Solve j = 3*o - 0*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.09, -3, 2.6019, 57, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 - b**2\/2 - 8*b. Solve l(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80*2*(20\/(-8) + 4). Calculate the highest common factor of w and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + k**4 - 2*k**4 + (83*k**2 + 2*k**4 - 83*k**2 + 3*k)*(-36 - 32 - 40).\nAnswer: -218*k**4 - 324*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324, 979, -1.\nAnswer: -324, -1, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/7 + 3006*c**3\/7 + 1290*c**2 + 9034*c\/7 + 3012\/7 = 0. What is c?\nAnswer: -1, 1506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*d + 130, 5*d - 6 = -x + d. Suppose -4*k - q = k - x, -5*q = 5*k - 30. Does 15 divide 1\/2*k - -43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c + 65 = 1514. Calculate the least common multiple of 108 and c.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 14) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30561*g + 30561*g - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 268 = 3*w - 285, -2*w - o = -18 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -382 times 129\nAnswer: -49278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 2\/5, -0.2, 0.5, 0.3.\nAnswer: -0.2, -1\/8, 0.3, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16664*x**3 - 16675*x**3 + 46779*x**3 - 13444*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42422430*x**5 - 2*x**4 - x**3 + 2*x**2 + 118363288*x - 1?\nAnswer: 2545345800*x**2 - 48*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 295349.\nAnswer: 17\/295349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8649*y**2 - 17357*y**2 + 8603*y**2.\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 70*z = 65*z - 48, 61 = -2*k - 7*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4435 - -10758. Is 58 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*o + 18*n*o - 38*o + 2 wrt n.\nAnswer: -2*n*o + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 366.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.55587 days in hours?\nAnswer: 2365.34088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*m - 987 - 657 = -279 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 110.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-8) + 5 - 3. Solve 27*v - s = 25*v + 5*h, -4*h + 7 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 4. Let s = 21.00000054 + a. Round s to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312209.\nAnswer: 3312209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/16*16\/(-6). Let q be ((-6)\/(-63))\/(t\/28). Which is the biggest value? (a) 1 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 2*q + 12, 0 = 5*w + 2*q - q + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*u + 1, 5*o - o = -3*u - 11. Let v be -2 + (u - -3)\/(1\/3). What is the common denominator of -35\/4 and v\/(-20) - 1012\/140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) 0.03 (d) 3\/8 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -57, -85, -111, -135?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 58050100?\nAnswer: 812701400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 6*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6476239 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 m when four letters picked without replacement from {z: 2, m: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 396*z + 113241. Calculate v(-286).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9360?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 5. Calculate p(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/370 - 6694\/(-5). What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409 - 820 + 411 - 51*r**2.\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 2. Suppose -3*o = 3*r - 51, -r - t*r = 2*o - 38. Suppose 4*a - 4 = 4*s, 0 = a + s + 4*s - 13. Solve 4*x = o + a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 2, c: 1, e: 4}. Give prob of sequence fke.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8985774 - -4?\nAnswer: -8985770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*q - 866*q - 5*t = 12, -5*q - t - 7 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(24\/(-340))*12. Round b to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**3 + 6*y**2 + 7. Let m = -163 + 180. Let t(d) = 44*d**3 - 17*d**2 - 20. Determine m*n(s) + 6*t(s).\nAnswer: 9*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9085001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466011430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g - 3. Let l(d) = 5*d + 1. Let q be (-4)\/(-2) + 1*-20. Let h = 12 + q. Let b(u) = h*z(u) - 17*l(u). Find the first derivative of b(k) wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 24. Suppose -3*g + 3*q + 36 = 0, -2*g + g - m = 5*q. Let o(t) = 24*t - 117. Let u be o(9). Calculate the greatest common factor of u and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21052753 rounded to two decimal places?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 186059 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 27. Let u be s(-7). Let c = -61 + 116. Let w = c + u. Solve 5*h + 27 - 2 = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**2*t**2*z**2 - 32527*m**2*z**2 - 406*m - t**2 + t*z**2 - 36*z**2 wrt m?\nAnswer: -8*t**2*z**2 - 65054*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18201.288 hours?\nAnswer: 108.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 1715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.384895 rounded to 2 dps?\nAnswer: 7.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 0*w + (4 - 4 + w)*(1 - 2 + 2) + (-3*w + 0*w + w)*(1 - 1 + 1))*(2*w + 1 - 1).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l. Let y(d) = -6*d**2 + 12*d. Determine -12*v(p) + y(p).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 3)*(2*c**2 + 3*c**2 - 4*c**2) - 2*c**2 - 2*c**2 + 5*c**2 - c**2 + 4*c**2 - 6*c**2)*(9*c - 2*c - c).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1605 + 14?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -195 (b) -2\/5 (c) 0 (d) -48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 6*o**4 - 28 - 4*o**2 - 6*o + 30 as r*o + w*o**4 + b*o**3 + y + u*o**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*s**4 - 135 - 69*s**4 - 68*s**4 + 196*s**4 + 443 + 13*s**2 wrt s.\nAnswer: -24*s**3 + 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923957, -923958, -923959, -923960?\nAnswer: -923961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*v + 143 - 177, 295*t - 292*t + 25 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 892412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 11 = -z + 29*m, -4*z - 4*m - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360360 and 38610?\nAnswer: 1081080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40 and -1143.\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7932586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9094?\nAnswer: 2, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/q**7)\/q*q**(-3\/10)\/q*((q**11\/q)\/q)\/((q*q*(q\/q**(-14))\/q*q)\/q) assuming q is positive.\nAnswer: q**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 724\/(-195) + 224\/(-1456) and 28\/261.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*g**4 - 2*g**2 + g*t - 323*t + 2 with respect to g.\nAnswer: -316*g**3 - 4*g + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*i**2 + 0 + 12\/5*i.\nAnswer: -2*i*(i - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q. Let c be j(1). Let b be 80\/24 + 2\/3. Suppose b = 4*a - 0*a. Solve -p - c = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310375289 by 16141.\nAnswer: -19229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793*n - 799*n + 8808 = 0. List the prime factors of n.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10156894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r*r**(-11)*r)*(r\/(r\/r**(2\/9))*r)**(-25))**(-29\/2) assuming r is positive.\nAnswer: r**(1769\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50398 and 67123?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 814.8439 millennia in months?\nAnswer: 9778126.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24*18\/3240 + (-8996)\/(-30) and 325.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 3*b - 1. Let g(l) = -765*l**4 - 8*l**2 + 8*l + 1150. Let y(t) = g(t) + 2*u(t). What is the second derivative of y(p) wrt p?\nAnswer: -9180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 18 + 88508\/(-2268).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7.728 times -1\nAnswer: -7.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -267029, -1067977, -2402891, -4271771, -6674617?\n\"Answer: -266983*l**2 + l - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -26*r + 8. Suppose 13*k - 405 = r*k. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.442 meters to millimeters.\nAnswer: 489442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6576765\/142 - 46315. Calculate the common denominator of t and 35\/9.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 15*h\/2.\nAnswer: h*(h + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 851793592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079604 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h**2)*(91*h - 43*h + 8*h).\nAnswer: -112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007793 rounded to five dps?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k*(k\/k**(-1\/4))\/k)\/(k*k**2*k**2) assuming k is positive.\nAnswer: k**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**2 - 6896*n + 20652 = 0.\nAnswer: 3, 1721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 1 = 2*d + 3*i, -14*d + i = 185*d - 795 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 15*v + 1 + 7 to the form m + f*v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -43, -93, -161, -247?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 77*x**2 - 1. Let f(h) = h. Suppose 0 = 16*o - 5 - 59. Let r(l) = -2*l. Let p(q) = o*r(q) + 10*f(q). What is w(p(m))?\nAnswer: 308*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3366720 by 36.\nAnswer: 93520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from {x: 4, l: 2, q: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.3. Which is the biggest value? (a) -12 (b) u (c) -2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:05 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -17*g**2 - 1172*g + 1454. Give h(-67).\nAnswer: 3665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/11, 5, -0.23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*x = -358*x - 63. Let k(m) = 61*m + 8. Let h(v) = -15*v - 2. Calculate x*h(d) + 2*k(d).\nAnswer: -13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-1))\/(8\/(-52)). What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 7*q = 21, -5*q + 207 = 5*t + 192 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 93433*l. Let x(h) = 230*h. Give x(z(c)).\nAnswer: 21489590*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001100101110011100 (base 2) to base 9.\nAnswer: -2506421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (482\/(-244) - -2)\/3. Let c be (-1494)\/(-976)*(-12)\/(-45). Let f = u - c. What is the biggest value in 4, f, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(0 - -3 - (-3 + 4)). Solve -3*y - 11 = -2*p, 4*p + 5 = w*p - y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 take away -116692415?\nAnswer: 116692598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 3*a, 3*f - 2*a = 2*a - 20. Let r be 3\/1 - 2*-4. Suppose r = -f*z + z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011000101 (base 3) to base 13\nAnswer: -6cbcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chbp when four letters picked without replacement from ooxpxcooxcxooxhxbc?\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 1101133351?\nAnswer: 1101133355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/((m*m\/m**(-1))\/m))*(m**3*m)\/m)**(-18))**(-3\/29))**(-14) assuming m is positive.\nAnswer: m**(-3780\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 63\/4 (b) 1\/6 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-278 + 200 + 168)*(-3*x + 0*x + x) to the form a + s*x and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16214224.76 and -4832.\nAnswer: -16219056.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l + 42. Let m(x) = 21*x + 1. Calculate n(m(f)).\nAnswer: 168*f + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, 5, -5 in increasing order.\nAnswer: -5, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24643 - 24643 + 20*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.6. Let f be (-96)\/60 - (-26)\/15. Which is the nearest to i? (a) -4 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + 52 + -105 + 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 9\/1255085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*a + 127 - 19 + 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1112 and 136784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 2*d - 25. Let o be (d - (-8 + -3)) + 1*-4. Let r be o + (-6)\/5 + 528\/15. What is the greatest common divisor of r and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 4*r = -8*r - 1033249, -5*r = 3*t - 442821. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 3, 2\/7, -7\/18, 1\/23, 0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 + -113.1. Let n = -515.94 + 516. Let k = 0.16 - n. Is a != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = -4. What is the closest to 1\/4 in s, 1\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2082501484.\nAnswer: 2, 7, 29, 2564657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruj when three letters picked without replacement from {j: 1, g: 1, r: 1, s: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25939400 is divided by 4323233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 9*k**2 + 11*k - 5. Determine d(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -23. Let k = 3 + -1. What is the lowest common multiple of k and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24894113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4 - 52*a**3 - 504*a**2 + 2592*a = 0.\nAnswer: -9, 0, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (1 + -1042)*8\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 348, 328, 290, 228, 136, 8?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -640468.6206 rounded to the nearest 10?\nAnswer: -640470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 16*u + 9. Let v(x) = 240*x**2 + 3*x. Let r = 161 - 162. What is the remainder when v(r) is divided by s(13)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let w = 10.8 - 10.7. Let d = -83 + 580\/7. What is the smallest value in d, w, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -114, -14, 116, 276, 466, 686?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*f**2 - 15*f**2 + 52*f**2 + 375*f + 26*f**2 + 107*f**2 wrt f.\nAnswer: 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4.46. Round c to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*w = 38, -y + 0*y - 3*w + 21 = 0. Let m be ((-2)\/(-6))\/(1\/6). Solve -n = m*n - y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 48243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 8*m**2 + m + 7. Let i be s(7). Calculate the greatest common divisor of i and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -3*sqrt(121))*-6)\/(sqrt(99) + (3*sqrt(99) - sqrt(99)) + sqrt(99)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4258 + 4272. What is the remainder when 43 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 34. Let r(w) = -w**3 + 21*w**2 + 23*w - 19. Let y be r(n). Solve y*c = -3*k + 15, 0*k = -4*c + 2*k + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84263?\nAnswer: 84263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -550 + 670. Suppose -g + 76 = -11*x. Solve 11 = t + 2*h, -24 = -x*h - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 430 + -229. Calculate the remainder when k is divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 13293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*y + 2418 - 291 = -712 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, j: 5, v: 8}. What is prob of sequence vv?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f**3 - 8*f**2 - 28*f**3 + 89*f**3 - 33*f**3 + 2*f in the form i*f**3 + w*f + q + g*f**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 + r + 7. Suppose -v + 1 + 4 = 0. What is the tens digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 25. Let x be c(9). Suppose x*o - 13*o + 30 = 0. Find the second derivative of 23*a**4 - 21*a**4 + 2*a + o*a wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggpggggg. What is prob of sequence pg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/128, -3\/2, 3, 0.\nAnswer: -3\/2, -2\/3, 0, 1\/128, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v - 18 = -3*r, 3*v - 18 = -3*r. Suppose 5*i - 200 = -5*n, -2*i + r*i + 2*n = 158. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p*p*p**1)))**(1\/39))**(11\/4))**(12\/5) assuming p is positive.\nAnswer: p**(22\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 12*h**2 + 12*h - 22. Let f(i) = -i**3 + 5*i**2 + 5*i - 9. Calculate -12*f(g) + 5*w(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 17*a**3 - 36*a**2 + 288*a.\nAnswer: -a*(a - 3)*(a + 8)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Suppose -s*n + 2*j = -14, 2*n = -n - 2*j. Let i = 5 - n. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**4\/12 - 41*j. Let g(x) = -x**2 - 3 + 3. Give g(i(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4*v**2 - 10586047*q**3*v**3 + 33024*q**2*v**3 + 29*q*v**3 wrt q?\nAnswer: -24*q*v**2 - 63516282*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 25 = -31. Do m and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121354290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -19027464, -2, 4, 1 in descending order.\nAnswer: 4, 1, -2, -19027464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 647814 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(10))\/sqrt(2) + sqrt(5) - (sqrt(5) - (2 + sqrt(20)\/sqrt(4))))**2 - (2*(sqrt(20)\/sqrt(4) + 1) + 5)**2.\nAnswer: -32*sqrt(5) - 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401985005 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 12701775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + 4. Let k be 2\/(-7) + (-1898)\/u. Let r = 28 + k. Which is the biggest value? (a) r (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432897 to the power of 1\/2, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-19)*k)\/k)**25*k**(-4)\/(k\/(k*k*k*k**(7\/6)*k*k)))**14 assuming k is positive.\nAnswer: k**(-19901\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 294. Suppose 2*s + 1474 = 2*y, 240 = -2*y + p*s + 1702. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469*q + 0 + 3 - 3 + 2599*q)*(0*q**2 + 2*q**2 + q**2).\nAnswer: 9204*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/6 - 521*k**3\/6 + 1103*k**2\/2 + 60*k + 6. Differentiate w(a) with respect to a.\nAnswer: -4*a - 521","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -42. Suppose -32 = 69*p - 101. Calculate the remainder when w is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 71259*u**2 - 1168*u + 3*u**3 + 784 + u**3 - 70879*u**2 = 0. Calculate u.\nAnswer: -98, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 44687.987?\nAnswer: 44686.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 19*d - 324. Calculate the highest common divisor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 1 - 6)*(2*o + 2 - 2) + 8*o - 37*o - 4*o in the form g*o + c and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 + -12)) + -2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14237486.1 microseconds in days?\nAnswer: 0.00016478571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + 37. Find the common denominator of (2\/(-21))\/((-4)\/(-123)) and (747\/u)\/(2\/1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 4. Let j be g(9). Suppose -2*m - 1017 = -5*b, 5*b + j*m - 932 = 78. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37922 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - -1 - (-184 + 235)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/212077 + 424143\/2332847. Factor -l*b**3 + 2\/11*b + 8\/11 - 8\/11*b**2.\nAnswer: -2*(b - 1)*(b + 1)*(b + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4. Let x be j(-2). Suppose 4*t + 7 = 5*f - x, 18 = t + 3*f. Which is the third smallest value? (a) -2\/5 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 1750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -666 divided by -1967\nAnswer: 666\/1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10439 and 27755.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*i - 49\/6*i**4 + 4*i**2 + 7\/2*i**3 + 0.\nAnswer: -i*(i - 1)*(7*i + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -31*c**3 - 17*c**2 + 7*c - 23. Let w(f) = -9*f**3 - 5*f**2 + 2*f - 7. Let t(p) = -2*j(p) + 7*w(p). Let q(z) = z**2 + 4. What is -3*q(k) - 4*t(k)?\nAnswer: 4*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 83\/6 - 7\/(-42). Suppose 2181 = v*g - 143. What are the prime factors of g?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/7 + 66764*c**3\/7 + 66778*c**2\/7 - 57228*c = 0. What is c?\nAnswer: -3, 0, 2, 33383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.3 + 23. Let z be 6\/4*(34\/(-6) - -4). Let j = -82 - -408\/5. Put b, z, j in descending order.\nAnswer: b, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364565493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 22. Let f be (-2 - k)*-6*1. Suppose -4*c + 36 = 2*z - 0*c, 0 = -3*z - 5*c + f. 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: Is 450587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11 = -f - n, -5*f + 5 = -5*n. Let u = 7 - 5. Factor 4*z**u - z + 3*z**3 - z - 5*z**f.\nAnswer: -2*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 31*h + 36*h = -29, -o - 3*h - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*w + 5*t, 4*t = 13 + 3. Let a(s) = -3*s + 14. Let y be a(10). Put w, y, -3 in increasing order.\nAnswer: y, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 225. Let u = w + -40. Is u greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549731041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**5*z + 13*v**4*z + 27*v**2*z - v**2 + 2 wrt v?\nAnswer: -180*v**2*z + 312*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -10504242?\nAnswer: 10504234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 19. Let o = -88 - -96. Let b be w(o). Solve -b*t - 4*q + 5 = 0, 2*t = 5*q - 2*q - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15826 and 15763 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 5*b + 4. Let f be c(-4). Suppose n - 14 = -f*n. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w. Let p(u) = -u**3 + u**2 + u + 7. Let j be p(w). Solve j = 4*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/51*3\/2. Which is smaller: x or 2\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 67.619?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 15*r**4 + 99*r**3 + 198*r**2 + 84*r - 72 = 0.\nAnswer: -3, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.51 less than 337?\nAnswer: 389.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13740)\/3045 + (-45)\/(-10). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 17 = -81. Suppose -3*y = -q*y - 5*y. Solve y = v + 3*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((2584\/(-51))\/(-19))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 - 39*q**2 + 317*q + 2?\nAnswer: -12*q**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8161.825 hours?\nAnswer: 29382570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 3*g = -10, 6 = 3*m + 4*g. Suppose 5*w = 1529 - 1584, 54 = -16*x - 2*w. What is the nearest to x in -0.5, m, 0.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6, s + 280810 + 635187 = i. What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 1404?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -16\/137, 0.0461, -0.2, 3, -4, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76109884.6 and -0.2?\nAnswer: 15221976.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 2*c + 3. Calculate a(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/34 - (-7)\/(476\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o + 21 = 0, 5*c + o - 60 = 9. Let h = -86 - -90. Suppose -c - h = -v. What is the remainder when 67 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + (-323)\/(-34) + (9\/(-2) - -3). Solve 0 = -5*f - 5*p + 10, 4*p + v - 23 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379480882 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 65994?\nAnswer: 65992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -0.3, -17, 111\/13, 0, 1\/7, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225436697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -153*f**2 + 4*f. Let b(v) = -822*v - 2. What is b(z(s))?\nAnswer: 125766*s**2 - 3288*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsffsfssff. Give prob of sequence sf.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52589100 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51605909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Let q be -1 + -3 - (f + -21). Let m = q + 2. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*j*k*z**3 - j*k - 12582*j*z**3 + 3*j*z**2 - k*z**3 + 2609*k*z - 3*k + z**3 - 4*z + 4 wrt z?\nAnswer: 138*j*k - 75492*j - 6*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -248*a**2 - 1200*a + 168. Let z(r) = 13*r**2 + 63*r - 9. What is 3*i(f) + 56*z(f)?\nAnswer: -16*f**2 - 72*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134514129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000 + -10?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z. Suppose z*h = 6*h - 258. Let b = h + -32. What is the lowest common multiple of 7 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/48*14\/(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5588 (c) 5 (d) 10 (e) -1\/2 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211360 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 2*z - z = -11013 + 10986, -5*t - 5*z = 65 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158 + 2*g**3 + 471 - 155 - 6*g**3 - 152 + 24*g**2 to the form y*g**3 + l*g**2 + k + o*g and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -190228, -19 in decreasing order.\nAnswer: 1\/4, -19, -190228","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -31*d + 2. Let c(l) = 128*l - 34. Let p(i) = -c(i) - 4*g(i). Let b(r) = 24*r**2. Give b(p(t)).\nAnswer: 384*t**2 - 4992*t + 16224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l - 16. Let v be r(5). Let x(d) = -69*d**3 + d**2. Let f be x(-1). Let k = f - v. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -42. What is the second derivative of 4 - 10*g**2 - 3*g**2 - y + 17*g wrt g?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c + 5. Let k be n(-4). Let w = k - -6. Let f(s) = -s**2 - s. Let q(b) = 6*b**3 + 3*b**2 + 5*b + 1. Let g(i) = 3*f(i) + q(i). Give g(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/12 - 4*x**3\/3 + 3*x**2 + 63*x + 2. What is m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156 = 12*w - 1161 + 2281. Let f be (-4)\/18 + (-4 - 268\/(-72)). Which is the nearest to 1? (a) -4 (b) -1\/14 (c) w (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a - 44*a + 82*a - 30 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 67?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27c6780 - -4?\nAnswer: -27c677c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 0.31039?\nAnswer: 1.31039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 9}. Give prob of picking 3 z and 1 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)\/t**(10\/7))**(-29\/4) assuming t is positive.\nAnswer: t**(754\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-3 + 3 + 3)*(-2*i + 2*i - 4*i)*(3*i**4 + i**4 - 6*i**4).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 8*p - 14. Let i be (44\/33 - (1 + -1))*-3. Let f be k(i). Solve 3*c = 5*n - 16, 1 = -f*c - 3*n + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by (-1953)\/(-231) + (-12)\/(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 211*v - 60*v - 4*v**2 - 2*v**2.\nAnswer: -6*v**2 - 271*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.3. Let s = -63 + 67. What is the closest to 0.1 in 2\/7, s, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-6)*(0 - -3). Let p(k) be the third derivative of -k**6\/120 - 2*k**5\/15 - k**4\/24 - k**3 - 15*k**2. Determine p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4292912.0311 + 4292675. Let v = 237 + d. Round v to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14944208 and 3736052.\nAnswer: 14944208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1288 + 1275. Suppose 0 = 13*h + 9 - 48. Which is the fourth biggest value? (a) h (b) 0.2 (c) i (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17523768901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 224083 to the power of 1\/2, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 2)*(-y**2 + 4*y**2 - 5*y**2 + (-2*y + 2*y + y)*(-y - 2*y + y) + 2*y**2 - y**2 - 2*y**2)*(-4*y**3 - 8*y + 8*y).\nAnswer: -140*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111000 - -10?\nAnswer: -100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30400 + 2310333?\nAnswer: 2341233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5880210531 to the power of 1\/3, to the nearest integer?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37.51 from 0.5.\nAnswer: -37.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -709*k - 8515. Give j(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 12)*6\/21*-1. Let c(w) = -1. Let f(p) = 2*p + 2. Calculate x*c(m) - f(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 852 - 847. Let l = -27 + 47. Solve -f + 0 = -n*k + 16, 4*k = -f + l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117694 and 217380818.\nAnswer: 217380818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 - 19676*s**2 + 118110*s - 177192 = 0 for s.\nAnswer: -9844, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7.4. Let z = q - 8.4. Let n = -7.9993 - z. Round n to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.074 + 33.074. Let c = f - 32.999987. What is c rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - v**2)*(-166*v + 423 - 423)*(-9*v + v - v + (-3 + 1 + 0)*(-2*v - 1 + 1) + 0 - 2*v + 0).\nAnswer: -1162*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (3*(0 + sqrt(612)) + sqrt(612) - sqrt(612)))**2.\nAnswer: 36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -183, -596, -1395, -2706, -4655?\n\"Answer: -21*h**3 - 4*h**2 + 6*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 7, r: 3, a: 1}. Give prob of sequence lola.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -413 + 412.8. Let v = -3 - -1. Which is the biggest value? (a) -4\/3 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133927.9 - 62158574.9.\nAnswer: -62024647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 3, -9, -37, -87?\n\"Answer: -c**3 + c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = p - m, -p - 3*m - 18 + 26 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - -0.02. Let r = 4.02 + -0.02. Let g = r + -4.1. Is g at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/11 less than or equal to -1.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4866 divided by 2\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17647 divided by -72.\nAnswer: -17647\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:32 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2366 divided by -7?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + w + 15. Suppose -5*v - 4*v = 0. Let h = -153\/5 + 31. Which is the closest to h? (a) w (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10889206.\nAnswer: 2, 157, 34679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 5*y**2 - 5*y + 15. Let h be b(6). Let r = h - 11. What is the least common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 5 (c) -3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:46 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 - 134.6. Round r to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*g = -5*v - 1208, -1789*g + v + 36 = -1792*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 11) in base 2?\nAnswer: 101001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134720121 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 272\/6 - (-3)\/(-9). Let d be (3\/8)\/(y\/12). Sort -2, d, -0.4.\nAnswer: -2, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 848576007 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1358574.4 to the nearest 1000.\nAnswer: -1359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(2 + sqrt(1053) + 5 - (-1*sqrt(1053)*-3 + sqrt(1053) - sqrt(1053))))**2.\nAnswer: -81648*sqrt(13) + 1380564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 3:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b. Let d(p) = -1136457*p - 1. Give j(d(f)).\nAnswer: 11364570*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3278)\/(-4) - 0 - 3. Let m = r - 845. Calculate the common denominator of m and -38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -31203110331?\nAnswer: 31203111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1665 divided by 149\nAnswer: -1665\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 14972545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70127 + 70120 + 9*b - b**2 - 140247.\nAnswer: -b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 - 3)*(0*w + w - 2*w) + (-40 + 60 - 31)*(-2*w - w + 0*w))*(-4*w**2 - 16*w**2 + w**2) to n*w + t*w**3 + u + o*w**2 and give t.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1360 or -1357?\nAnswer: -1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*i**2 - 9*i**2 + 14*i**2 - 8*i to w*i + x + u*i**2 and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 353353067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Suppose -2*p = s*i - 5*p - 60, 0 = -2*i + 3*p + 36. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1. Let g(z) = -9*z - 2. Calculate -g(c) - 2*x(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**0))**(-1\/7)\/(k*k**0\/k*k)**(2\/37))\/(k**1*(k**(1\/4)\/k)\/k)**(-11\/3) assuming k is positive.\nAnswer: k**(-2757\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 2*y. Let w be b(-5). Let v be (4 - 75\/12)*(-3048)\/18. Is (v\/(-4))\/(9\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211002 (base 3) to base 4.\nAnswer: 110231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2 - a + 1. Let s be (-1)\/(-3) + (-4)\/(-6). Let l be y(s). List the prime factors of (7 - -1)*l\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65052 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - -0.45. Let z = l + 0.6. Let y = 202 - 202.2. What is the nearest to z in 0.2, 5, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121120 (base 4) in base 14?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -26*k**2 - 2*k - 3. What is h(-2)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4\/5 (b) -2 (c) -11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -168. Let n = 65 - a. Suppose 378 = n*o - 94. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.83 + -0.53. Let w = p + -0.3. Which is smaller: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*v = -18, 3*v - 3 = -9. Let c = i + 8. Let z(p) = -432 + 190 + 6*p**2 - p**3 + 243. What is z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.1, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + u + 3*u)*(-2 - 3 + 6) - u - 5*u + 4*u + 5*u + u - 2*u + u - u + 2*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 7*u**2 - u - 6. Let l be d(-7). Does 23 divide ((1 - l) + -23)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 218160\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 3. Let k be a(-2). Suppose -504 = -k*r + 553. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 168 + 0\/(-1) + 44\/(-11). Suppose 2*h = -10, 2*d + 3*h = d + s. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdt when three letters picked without replacement from tttdbvbbtbdtztbdz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -756? (a) 0.4 (b) -2 (c) -4 (d) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473*j*p**3*y + j*p**2*y + 3*j*p*y**2 + 8*j*y + 3*p**3*y**2 - 2*p**2*y**2 wrt p?\nAnswer: -2838*j*y + 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 + 71 = -12*m + 53 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1746 + -4?\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, m: 2}. Give prob of picking 2 m and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49562137.\nAnswer: 4093, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 52*y + 6219. Determine s(-134).\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 4. Suppose 0 = 12*v - 0*v - 36. Let u(h) be the first derivative of h**2\/2 + 6. What is v*u(y) - n(y)?\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/12 + 13*q**3\/6 - 20*q**2 + 57*q - 1. Let x be h(8). Solve 8 = -l + y + 4*y, x = -3*l + 4*y - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 59*u + 7*u**4 - 3 + 2 - 61*u to the form j + s*u**4 + b*u**3 + p*u**2 + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107 + -5518?\nAnswer: -5625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-168)\/(-1120))\/(69\/10)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13604 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*f + 195*f + 192*f + 25405*f**2.\nAnswer: 25405*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from ndkkddkdahnznd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 58 - 2*g - 2*g**2 + 6*g - 5*g. What is the tens digit of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47973633.\nAnswer: 3, 61, 262151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 21*q**2 + 32*q - 16. Let w be c(21). Suppose -4*t = 4*t - w. Let s = t + -37. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 14*i**2 - 12*i + 18. Determine g(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3609\/22 + 217\/(-4774)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-12)\/5)*40 - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30591 - 11104532\/363. Suppose -h - 5 + 6 = 0. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-132)\/(8 - -14)*(10\/(-12) - -1). Put n, 2, 1979 in descending order.\nAnswer: 1979, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502161.3ml in litres?\nAnswer: 502.1613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502413 (base 7) in base 12?\nAnswer: -99294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2)*4 - sqrt(108)*-1.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 77728.61?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 70308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + -6 + 15). Let g = 98 + d. Calculate the highest common factor of g and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 80531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 311, 62, -361, -964, -1753, -2734, -3913?\n\"Answer: -n**3 - 81*n**2 + n + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*s + 208*s - 3*p - 18 = 0, -4*s + 3*p - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 622? (a) 6 (b) -173 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-1))\/((-20)\/4). Let z = v - -19\/10. What is the second smallest value in -3, -3\/5, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 546 - 541. Let d(z) = -4 + 2*z**2 - z**2 - 6*z + 4*z**2. Is d(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1426 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 359 times -0.2\nAnswer: -71.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 + 15*w - 5. Let j be l(-5). Let y = -89 + j. Put 5, -5, y in ascending order.\nAnswer: -5, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 24 - -4 - (1 + (-12 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 3*z**4 - 3*z**4 + (-4*z + 4*z + 2*z)*(3*z**2 - 3*z**2 + z**3) + 4*z**4 + 0*z**4 - 2*z**4.\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let k be (-22)\/792 - (-2588)\/(-144). Which is the third biggest value? (a) 3 (b) k (c) -0.1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4278759100 rounded to the nearest 1000000?\nAnswer: -4279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16002)\/(-1524))\/(-3*(-4)\/120).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*j - 5*j - 36, 2*a - 5*j = 28. Let y(r) = -8*r**3 + r**2 - 1. Let k be y(-1). Calculate the highest common factor of a and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 532 in -1\/3, 4, 3, 0.2, 772?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8250 by -25.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59973826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 11*n - 13*n - 6*n in the form y*n + f and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399835?\nAnswer: 5, 79967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 307 = 2*q, 0 = 2*q - 7*q + 2*x + 763. Suppose q = 4*m - 291. Let z = 73689 - 73615. Calculate the greatest common factor of z and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 8:30 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 495*w**4\/4 + 49*w + 390. Find the first derivative of m(d) wrt d.\nAnswer: 1485*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(8\/32)\/((-1)\/314). Suppose -27*z = -30*z + h. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhllhhlhhovomh. What is prob of picking 1 h, 1 o, and 1 l?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 285 + -540. Let l = y + -85. What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 - 433*r - 137 - 143 - 432*r + 1299*r - 428*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122853?\nAnswer: 3, 31, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.033 + 56.967. Let w = -309 + u. Let i = -251.99999891 - w. What is i rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277051 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.12 + 0.12. Let y = 28.65 + v. Let h = y + 0.1. What is h rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 4*r. Let k = -15 - -71. Let w = k - 62. Give n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-3132)\/11 - (-300)\/(-1100)). Calculate the greatest common factor of 6745 and n.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*p = -4, 5*h + 7*p = 2*p + 15. Let c be (-1 - (-3)\/3) + 20. Solve b - 12 = 5*u - u, -3*u - h*b - c = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2351003033 + 0?\nAnswer: 2351003033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 187 = -4*h, 11*v - 16*v + 2*h = -1045. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99, -83, -49, 9, 97, 221, 387?\n\"Answer: b**3 + 3*b**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144805\/141 - 1027. Is h bigger than 0.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.1593 - -81.2. Let g = -0.0207 - k. Round g to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 - -196. Let l = 148 - u. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -60, -62, -54, -30?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -16\/11 + 14\/11*z**3 - 56\/11*z + 4\/11*z**2 = 0.\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**7\/840 - n**6\/60 + n**5\/120 - n**4\/8 + n**3\/2 + 3*n. Let v(u) be the second derivative of o(u). Give v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.292 - -0.1. Let o = u + 0.492. Which is the nearest to -0.1? (a) 17 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s**3 + 238*s - 238*s + 17*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -115*s**8\/8 + s**4\/6 - 217*s**3\/6 + 43*s - 8. Find the third derivative of y(z) wrt z.\nAnswer: -96600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:24 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = 210005. Let g = h + 92001. Round g to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s - 41. Let v be r(5). Suppose 4*k + 10 = v*k. Let i = 0 + -2. Put i, k, 3 in descending order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -561829.\nAnswer: -561863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2 + 7*n**2 + n**3 + 5*n - 3 + 0*n**2 + 0*n**3. Let i be g(-6). Solve 0 = i*q + 3*r - 11, 3*r - 4 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -678, -1308, -1938, -2568?\nAnswer: -3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2\/15*p**5 + 0*p**4 + 0*p - 2\/3*p**2 + 2\/3*p**3 - 1. Determine o, given that q(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Let b = a - -8. What is the highest common factor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/15 - 706*b**2\/15 + 62656*b\/15 - 61952\/15.\nAnswer: 2*(b - 176)**2*(b - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.205079286 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 616?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = 120. Suppose 5*a = a + b. Calculate the greatest common factor of a and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -7 (c) 2\/29697851 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m**3 + m**2 - 24*m + 22. Give c(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -4. Let j be g - (-1)\/(2\/4). Let v = -6 + j. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(147) + sqrt(147) + sqrt(147) + sqrt(147) + 1)**2 + 3)*-4.\nAnswer: -9418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(288) - (1 + sqrt(288))*-2 - sqrt(288)) + 0)**2 - (sqrt(18) - -1*sqrt(18)*-2)**2*-2)*5.\nAnswer: 480*sqrt(2) + 5956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiillliiiwili. What is prob of sequence wwi?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -2. Let d = 63 + -62. What is the nearest to d in 4, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 39 + 1 + 2 - 3*a. What is the remainder when 59 is divided by c(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*m - 6, 3*m - 3*g - 13 + 1 = 0. Find w such that -2 - 11*w + 24*w - w**m - 4 - 6*w = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23023.78kg to nanograms.\nAnswer: 23023780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let r = -128 - -49. Let n = 68 + r. Let t(q) = -6*q + 6. Determine n*b(p) + 2*t(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1813 - -1.8187. Let j = -389 + 6615\/17. Which is the nearest to 0.01? (a) -0.5 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427933 is divided by 5098.\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 - v**3 + 6*v**3)*(-11 - 3 + 9)*(-6 + 3 + 13) to z*v**3 + j*v**2 + f + x*v and give z.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1*(2 - -2). Let p be 1\/4 - m\/(-28). Determine k so that p*k - k**4 + 0*k**3 - 1\/2*k**5 + 0 + k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 932305 and 453992?\nAnswer: 52209080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let p be k(-1). Let l(u) be the third derivative of u**6\/120 + u**5\/30 - u**4\/6 - u**3\/2 - 1737*u**2. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -0.1, 1\/4, -1\/12, -17?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -94*a**2 - 105*a + 4. Let s(x) = 593*x**2 + 631*x - 25. Give -25*o(n) - 4*s(n).\nAnswer: -22*n**2 + 101*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-3)\/1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16533121513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1360277*r**3 + 11*r + 33922?\nAnswer: 8161662*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48351.51 minutes to hours.\nAnswer: 805.8585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0*w**3 + 0 - 138*w - 81\/10*w**5 - w**2 - 1\/2*w**4. What is the third derivative of i(n) wrt n?\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 3*k + 40. Let a be q(5). Suppose 6*u - 2*u = w + 15, 0 = -4*w - 2*u + a. Factor 597*m**3 - 599*m**3 + 0*m**5 - m**4 + m**w.\nAnswer: m**3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 1:44 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*f + 4*t - 68, 0 = 3*f + 5*t - 34. Suppose -f = 3*q - 4*q. What is the lowest common multiple of 14 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 24*r**2 + 19*r**2 + 17*r**2 - 69*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33496 + b - 33049 + 66545.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -142*n - 703. Let d be c(-5). Let a(f) = -3*f + 5 - 5. Calculate a(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1030609 and 75932.\nAnswer: 1106541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2568882 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 12:33 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 16*i + 0*i**2 - 2*i**2 + 10. Let n be g(7). Suppose -w + 186 = w - 4*m, 3*m - n = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + -112413?\nAnswer: -112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 - 128 + 2*j + 258)*(0 - 3 + 1)*(-j - 3*j + 0*j).\nAnswer: 16*j**2 - 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 403\/((-411060)\/(-1224))*8\/66*5?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57349 is divided by 2332?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 94846 = -40*c + 2372. What are the prime factors of c?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17606 + -17606. Solve s + 2\/5*j**3 + 1\/5*j**2 + 0*j + 1\/5*j**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5360 - -10?\nAnswer: 5370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 437146800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225704156 by 4.\nAnswer: 56426039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 122631721 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*t + 810*t - 2427*t + 821*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3 - 2*a + 2*a**3 - 3*a**3 - 7*a + a - 8*a**2. Let v be (-1)\/(2 + 26\/(-14)). What is the lowest common multiple of q(v) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 9 = -7*q. Solve 3*s + q = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 82?\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccy when four letters picked without replacement from {f: 5, h: 3, c: 4, y: 1, z: 2, g: 5}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -101 and 1740.\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:42 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19253.67 + -9706.486.\nAnswer: 9547.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(304) - sqrt(304)) + sqrt(304))**2*-5.\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -250, -526, -902, -1372, -1930, -2570?\n\"Answer: y**3 - 59*y**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12416760 a multiple of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735270243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1906032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.955 - 3.455. What is the third biggest value in -139\/4, s, 1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, v: 2}. What is prob of sequence zzv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 j, and 1 l when four letters picked without replacement from wlllwljaj.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-8)*v\/((v**(-2\/15)\/v)\/v*v))**5)**(18\/7) assuming v is positive.\nAnswer: v**(-438\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 48 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 46 = -7*s. Suppose -s*f + 5*f = -4*v - 10, 4*v + 16 = 4*f. Let y = 10 - 10. Solve 4*u - 5*u + f = y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 77?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6 - -1) + (-28 - -17 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrmi. What is prob of sequence xm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 600*w + 350*w - 623*w + 174*w in the form s + j*w and give j.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51511, 206118, 463833, 824662, 1288611, 1855686, 2525893?\n\"Answer: h**3 + 51548*h**2 - 44*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o = 39*o + 70 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/360 - u**5\/24 - 7*u**4\/12 + u**2 + 117. Let k(t) be the second derivative of r(t). Give k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -9)*(-28)\/21. Suppose 4*l = f + 597, -f - 3*f + a = 0. Suppose -l + 3575 = 5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -31*x**6\/4 + x**4\/12 - 3700*x**3\/3 + 3*x**2 + 839*x. Find the first derivative of b(i) wrt i.\nAnswer: -2790*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2080*d**3*i**2 + 8*d**3*i + 4*d**2*i + 62*d*i**2 - 4*d + 25*i wrt i?\nAnswer: -4160*d**3 + 124*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 35 = -0*a. Calculate the smallest common multiple of 1*(2 + 4\/1 + -5) and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*o**2 - 25*o**2 - 262*o**2.\nAnswer: 951*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268627.\nAnswer: 29, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(-4*sqrt(6)\/sqrt(2) + sqrt(3)))**2 + 4 + ((sqrt(1872) + 1 + sqrt(1872) - sqrt(1872))**2 - (sqrt(325) + 1))*-1.\nAnswer: -16799\/9 - 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1960) - sqrt(40))\/(-1*sqrt(512) - sqrt(512)))**2.\nAnswer: 9245\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1127330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*c**2*v**2 - 43*c**2*v - 8*c**2 + 4222*c*v**2 + 38*c*v wrt v.\nAnswer: 106*c**2 + 8444*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 - 5 = 0. Calculate the remainder when 25 is divided by (g\/(-2))\/(1\/26).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168602.\nAnswer: 2, 1084301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 7*m. Let n(l) = 2*l**2 - 3*l. Let s(d) = -7*n(d) + 3*t(d). Let i(u) = 4259*u + 4235*u - 8494*u - u**2 + 0*u**2. What is s(i(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y + 18*y - 13*y)*(-9 + 5 - y**4 - 10).\nAnswer: -25*y**5 - 350*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57362756 divided by -28681378?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8253252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r - 22. Let a(h) = 2*h + 6. Let l(t) = 22*a(t) + 6*x(t). Let y(g) = 3538 - 64*g**2 - 3538. Calculate y(l(j)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18552356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/((-130)\/234)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3215017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*p = 2288*p + 8070 + 9345 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = -j - 8, -y - 4*j - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 1\/2*l**2 - 1\/6*l**3 - 1\/12*l**4 + l + 0. Let b(s) = 2*s**2 + 3*s - 3. Determine b(r) + 3*u(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4286 or 3\/8?\nAnswer: 0.4286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 6*t**2 - 47 + 91 - 44.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 898604455 divided by 5?\nAnswer: 179720891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2134766705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53.60113 days?\nAnswer: 77185.6272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/24)\/(11\/129) and -67\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3742, 7575, 11580, 15841, 20442, 25467?\nAnswer: 31000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 3*r**2 + 0*r**2 + r**3 + 0*r + 0*r**3 - 2. Let y be w(-3). What is the second derivative of -d**5 - 2*d**5 - d + d**4 - d**y wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**4\/24 + z**3\/6 - 2*z**2 + 79*z - 1. Let q(p) = -4*p - 13. Determine -q(b) - 2*x(b).\nAnswer: 2*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from kkqkkkksqk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 equal to -39.375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -145612, -2, 0.5 in increasing order.\nAnswer: -145612, -2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 15*w - 3*w - 4*w + w - 2 + 11*w. What is v(2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/79)\/(4\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19, 96, 1\/2.\nAnswer: -3, 1\/2, 19, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.02, -0.3.\nAnswer: -0.3, -0.02, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 2193*f + 85248.\nAnswer: -3*(f - 37)*(f + 768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-10))\/((-2)\/12). Suppose -8*g = -180 - 180. Is g\/(-6)*20\/k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -807687*f - 114691551. Give b(-142).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 32*h**2 - 26*h**2 + 25 + 45.\nAnswer: -58*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -72188?\nAnswer: 3\/72188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*i + 57*i - 1 - 11*i + 34*i as p + s*i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 87, 0, -3 in descending order.\nAnswer: 87, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6207 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -39. Suppose a*m = 22*m. Suppose -17 - 7 = -2*u. Solve -n + 4*n - u = m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 16865?\nAnswer: -16847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/770 - (664\/(-22) - 1). Suppose 2*i + 0*i = 6. Suppose -2*l = i*j - q, -3*j = 5*l - 0*j - 100. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*q + 15 - 17 = 0, 0 = 2*p + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q - 3*q. Suppose -9 = -j - 2*j. Suppose q = f - j + 2. Solve 0 = -3*o - 0*o + 2*w + 1, -5*o = -4*w + f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 22*y + 57. Let o be s(-13). Let n be 1*(123 - -2) + 0. Suppose u - n = -4*u. Calculate the highest common divisor of o and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 5*v - 15, -75*f + 72*f - 7 = 2*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 21.6. Let x = -0.4 - q. Let c = x + 1.3. What is the closest to 0 in 4\/9, c, -3\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1589*h - 17463. What is v(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 4*b**2 + 15*b + 16 - 67*b**3 + 123*b**3 - 58*b**3 - 4*b**2 to the form h + a*b**3 + d*b**2 + f*b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 + 32*t. Let z be w(-12). Let a(m) = m**2 + 6*m + 7. Let o be a(-5). Suppose -o*d - 2*d = -z. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 45 = 45 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 17*m**2 + m - 15. Let x be r(17). Let s = x + -1. Is s greater than -1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 2921.\nAnswer: 2921.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a millimeter in micrometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 - 241. Suppose -4*j - g = -b, -5*b + 36 = -9*j + 10*j. Solve b*u + 5*u + 48 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3 - 3*o**2*u**2 + 1321*o**2 - o*u + 2*o - 3*u**2 - 167*u wrt o?\nAnswer: -12*o - 6*u**2 + 2642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 316, -2\/3, 1\/4, 2, 3\/5, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + -1 + -9 + (22 - 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98501080691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*a**2 + 4*a**4 + 0*a**4 - 90*a**2 + 2*a to u*a**2 + z*a**4 + f*a + w*a**3 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 2)*(-25)\/(-2). Let d = o - -10. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-19 - -5)) + 84 + -67?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12175852, 12175854, 12175856?\n\"Answer: 2*f + 12175850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -99*m + 246. Determine k(-1).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*i - 3*a + 15, 5 = -i - a. Let g(w) = 2*w + 6. Let j be g(i). Let s = j - -13. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*w**2*x**2 - 6*w**2 - 3*x**3 wrt x.\nAnswer: -98*w**2*x - 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(800)*-5)\/(sqrt(80)\/sqrt(72)*6))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 18) + 19 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 46715363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd + -84874?\nAnswer: -84786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2 - 186*x - 1049. What is u(-6)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -114, 1, -5, -1 in increasing order.\nAnswer: -114, -5, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2834*i**4*j**2 - 2363*i**4*j + 58627154*i**2*j + 5*i*j**2 wrt i.\nAnswer: 68016*i*j**2 - 56712*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1180 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17953 * 4.\nAnswer: -0.71812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aszf when four letters picked without replacement from wzaafzazdzasazfwaaz.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.4156 take away 30607083?\nAnswer: -30606664.5844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715 = 61*y - 56*y. Let o = 251 - y. Suppose t = -2*z - t + o, 5*z = 4*t + 243. Calculate the highest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10730*8.\nAnswer: -85840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-224)\/5 + 4)\/(10\/(-225)). Let d = t + -522. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 11*g + 7. Let z be o(5). Let i(p) = 14*p + 7*p - 26*p + 3*p**2 + 3 - 2*p**z. Give i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 74*w**2 + 225*w + 2337. What is the units digit of k(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 5. Let b be s(0). Let d(a) = -a**2 + 7*a - 1. Calculate d(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81569 is divided by 446?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-1 - -4) + -5). Let n(y) = -y - 4. Determine n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**2 + 17*u - 17*u)*(5*u - 28*u - 11*u).\nAnswer: 272*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -426885, -853764, -1280643, -1707522, -2134401, -2561280?\n\"Answer: -426879*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-78)\/(-28) - 3)\/(12\/284) and 67\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 486330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025 less than 2?\nAnswer: 1.9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.1 (c) -6\/25 (d) -0.3 (e) 4 (f) 258 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*s = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:47 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -1*-1*sqrt(77) - 4*(sqrt(77) + -1*sqrt(77)))\/((-3*sqrt(99) + sqrt(99))*-1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110082?\nAnswer: 2, 3, 7, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2095*l - 1 - 5*l**3 - 2095*l + 3*l**2 as c*l**2 + q*l + p + u*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249 - 240 - q**2 - 243 + 719.\nAnswer: -q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/6 - 1563*y**2\/2 + 1831445*y\/2 + 5499025\/6 = 0. What is y?\nAnswer: -1, 2345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g**3 - 55*g**2 + 199*g - 9. Give p(4).\nAnswer: -1309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -425.001052 - 0.018948. Let n = 425 + x. Put n, -2, 4 in decreasing order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 j, and 1 o when four letters picked without replacement from ogoqeggjjjjojkejj?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 68105.1?\nAnswer: 476735.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - f**3 + 53 + f + 75 - 189 - 158*f**2 in the form m + k*f**3 + y*f + c*f**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.5 - -26.5. Let q = 30 - m. Let v = -0.5 + 0.3. Put q, v, 0.3 in ascending order.\nAnswer: q, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 90. Let v be g(19). Let q(z) = z**3 - 5*z**2 + 12. What is q(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53247, 100174, 147103, 194034?\nAnswer: 240967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty sevenths of a week?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -62, -38, -6, 28, 58, 78?\n\"Answer: -a**3 + 10*a**2 + a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:03 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 d when four letters picked without replacement from dgdgddu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 + 897\/4. Suppose -d*b**2 - 1\/4*b + 0 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11563, -11564, -11565, -11566, -11567, -11568?\nAnswer: -11569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 + 18*y**4 + 39*y**3 + 36*y**2 + 12*y.\nAnswer: 3*y*(y + 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000000110110111 (base 2) in base 10?\nAnswer: 65975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33746 is divided by 8434?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228*h*q**3 - 432*h - 2*q**4 - 3*q**2 wrt q.\nAnswer: -684*h*q**2 - 8*q**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202010212 + 100001?\nAnswer: -1201210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 5 = -43 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 313 - -3?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(-9)\/(-2). Suppose -2*j + x - 1 = 0, 3 = -j + x - 0. What is the units digit of j - k\/(1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by -5.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -388 + 391. Suppose 0*g**5 - 8*g + u*g**4 + 6*g**3 - 5*g**5 + 4*g + 2*g**5 + g - 6*g**2 + 3 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014012 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8586 divided by 1.\nAnswer: -8586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p - 6. Suppose -212*d + 188*d - 55 + 247 = 0. Give r(d).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 1183.4 and -0.3.\nAnswer: -355.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 9*r**6\/2 - 71*r**2\/2 + 6. What is the second derivative of t(p) wrt p?\nAnswer: 540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010 (base 2) to base 12.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 1. Let d be t(1). Suppose d = 3*s - 3883 - 4307. Round s to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:04 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3559 plus -0.4?\nAnswer: -3559.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s - 9. Calculate g(-11).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6432 + 0.1432. Let z = -0.1133 - 0.3777. Let h = k - z. Round h to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 8 = -5*w, 4*x - 2*w - 12 = 0. Solve -4*h = -x*v - 20, 3*h - 2*v + 0*v - 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190207?\nAnswer: 190207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, b: 7, y: 1, v: 7}. Give prob of picking 1 z, 1 d, 1 y, and 1 b.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 66.29119 nanometers?\nAnswer: 0.000006629119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 + 5*y - 3. Let m be l(-5). Is m*1*2\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1 + -4)**2 - ((sqrt(19) - 2*sqrt(19))*2)**2.\nAnswer: -41 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 2, u: 1}. Give prob of sequence fu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1282776062)\/4620 + 6\/(-33). Let r = -277658 - m. What is the common denominator of r and -111\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/(-8)*2*(-1934)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 9:07 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/11 - 1198*p\/11 + 12180\/11 = 0. What is p?\nAnswer: -609, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -880*o**3\/3 + 605*o**2\/2 + 10*o - 210. Differentiate p(g) wrt g.\nAnswer: -1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -2, -0.0044 in decreasing order.\nAnswer: 35, -0.0044, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - j - 2. Suppose 4*o = -3 + 19. Suppose 0 = 3*a - 5*p + 25, 4*a - 3*a - 20 = -o*p. Calculate y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4131*49.\nAnswer: -118.2419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 85*n**4\/12 + 131*n**2\/2 + 19*n. Find the first derivative of r(h) wrt h.\nAnswer: 170*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -4*w, w - 2*q + 8 = -0*q. Solve 0*t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 1\/8*y**4 - y**2 + 0 + 0*y**3 + 1\/20*y**5 + 0*y. Factor a(b).\nAnswer: 3*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -109*k**2 - 2*k. Let b(d) be the third derivative of -d**4\/6 + d**2 - 3*d. Give b(c(s)).\nAnswer: 436*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvhq when four letters picked without replacement from vbbqbhbhhhbhvhqcbqb.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/15, 1.7, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122475 divided by 1893.\nAnswer: 40825\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2380 = 30*k - 25*k. Let d = k + -469. Solve -2*p + 5*y = -0*p + 29, -y + d = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 30 - 20. Let q = -4 + 9. Suppose -q*r + 10 = -10. Solve r*l + a = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 40*a**2 - 3*a - 65. Let h be d(40). Let t be (-10)\/6*444\/h. Solve -2\/17*j**3 + 0 - 2\/17*j**t + 8\/17*j**2 + 8\/17*j = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.281347 - -399.937653. Let a = 400 - n. Round a to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {o: 4, m: 1, q: 1, s: 1, b: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157073 and 14.\nAnswer: 314146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {o: 6, f: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*x - k - 1, 4 = -2*x - 4*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -g - 2*p, 3*p + 360 = -3*g - g. Let d be (-6)\/4 - 938\/28. Let m = d - g. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -58, -91, -124, -157?\n\"Answer: -33*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11610 (base 8) to base 13\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(3\/(-3)). Let t(s) = -s - 4. Let x be t(-4). What is the units digit of (x - 1) + w + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817735 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6744770330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 - -2963?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let v = -3.11 - -3.3. Let c = v + 3.81. What is the smallest value in c, m, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 - -1887\/4. Find the common denominator of s and 19\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 14*o + 15. What is the lowest common multiple of h(8) and 19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150 - 1\/2*o**2 - 103\/2*o.\nAnswer: -(o + 3)*(o + 100)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1b02?\nAnswer: -1b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.01 + 20. Let a = u - -0.41. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1428559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240756.\nAnswer: 2, 11, 163, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 396416831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101100010101 (base 2) in base 16?\nAnswer: -2b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 91*m**2 - 712*m - 17. What is g(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-16))\/(1\/(-44)). Suppose -d = -5*w + 132. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 36. Let v(i) = -i**2 - 15*i - 15. Let q be v(x). Is 6\/q + (-7091)\/(-49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 15*g + 162 = 0. Let b(h) = 54 - g + 55 + 53 - 6*h. Let d(x) = 5*x**2. Determine d(b(t)).\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrarrrwrwhwhrhhrr. What is prob of picking 1 h and 1 r?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -17, 8.\nAnswer: -17, -5, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -16, -6 in increasing order.\nAnswer: -16, -6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 5*n**5 - 13*n**5 - 7 - 4*n**5 + 7 + (2 - 2 - 1)*(-3*n**5 + 0*n**5 + n**5) + n**5 - 4*n**5 + 2*n**5 + 2 - 2*n**5 - 2 + n**5 - 2*n**5 - n**5.\nAnswer: -19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.12362 times -0.67\nAnswer: -0.0828254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 6*u - 10. Let c be r(7). Let m = 6 + c. Let d(z) = -5*z**2 + 28*z. Let y be d(5). Solve 0 = -4*j, m*w - 2*j - y = -j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9365124 is divided by 322935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1c808?\nAnswer: -1c806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u = 90. Is u less than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 38. Let w be q(-9). Suppose 3*a - 21 = -a - 5*f, w*f + 2 = a. Solve -7*v + 3*v**4 - 5*v**3 - 2 - 4*v**4 + 0*v**a - 9*v**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjmdbbbmbm. Give prob of sequence md.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaagagtg. Give prob of picking 2 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4748 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = r, -4*f + 12 = -2*r. Let q = 39 - 118\/3. Which is the closest to 0.2? (a) -2\/7 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 15 - 17*t - 13)*(-3 - 1 + 1).\nAnswer: 51*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 7. Let z = p + -7. Solve f = -5*o - 11, -4*f + z*o + 4*o = -28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let x(p) = -5*p + 0*p - 5 - p**2 - 2 + 4. Let v be x(-2). Let z = 1 - v. Calculate o(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 19*r - 65. What are the prime factors of h(35)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + (8 - (-6 - -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.115863 rounded to two dps?\nAnswer: 6.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 - s**2 + 13*s**2 + 18*s**2.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 878, 1771, 2670, 3575, 4486, 5403?\n\"Answer: 3*p**2 + 884*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdq when four letters picked without replacement from {d: 5, q: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 33120*i = 0. What is i?\nAnswer: 0, 6624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41317483.\nAnswer: 83, 497801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90708122?\nAnswer: 2, 53, 855737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 51 = 5*a - 20, -4*a + 4*v - 20 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*sqrt(42)\/sqrt(2))\/(1*sqrt(3)*-6).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1060*p - 1113. Give u(-1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 26 = m + 44. Solve 8*z + 10 = m*z, -2*z = 2*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 14*n - 2266. What are the prime factors of n?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4315213mm to micrometers.\nAnswer: 431.5213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*u + 204 + 301 = -20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.89 + -1.41. Let v = g + 1.3. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 1131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1881 and 171.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 23 = 2*f + 3*x, 3*x = 4*f - 19. Let z = f - 2. Suppose 39 = 3*y - t, -34 = -z*y + 3*t + 35. What is the greatest common divisor of 18 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/431688 and -21\/16?\nAnswer: 863376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 3. Let h be y(-2). Let t be (24\/4)\/(h\/(-50)). What is the units digit of ((-42)\/(-3))\/(1\/t*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 12) to base 3.\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**5 + 3*j**5 - 12*j**5)*(72 + 30 + 25).\nAnswer: -1524*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 14 = -3*d - 8, 0 = -2*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9931, -19832, -29705, -39550, -49367, -59156, -68917?\nAnswer: -78650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 5:24 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -5)\/((-4)\/(-66)). Suppose g + t = 3*g. Let d(n) = n**2 - 13*n - 11. Let q be d(14). Calculate the highest common factor of q and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736319 is divided by 1124?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*j - 2394 + 2338, 5*l = -5*j - 60 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-170))\/((-36)\/60).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-11)\/(-33)). Let f be 2\/4 - 5\/4. What is the closest to k in f, 1\/3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from tsesstssstsq?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596670 divided by -6.\nAnswer: -99445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 133\/(-29106)*76 + (-2)\/7. Let k = b - -22\/27. Let k*u**3 + 2\/11*u**2 + 0 - 4\/11*u = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/14 + 15 - -1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 42 + -58 + 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, i: 1, v: 8}. Give prob of picking 1 i and 1 x.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 45269 - 14907 = 29069. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -68. Is 2\/67 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -26*c + 76. Suppose -c*k + 459 = -29*k. What is the remainder when 113 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*p + 22*p + 56. Suppose 2*v + 5*g - 18 = 0, 0 = 4*v + 3*g - 15 - p. Differentiate 0*s - 1381*s**v + 0*s + 1333*s**4 - 18 with respect to s.\nAnswer: -192*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 367*m**2. Let q(z) = -4*z + 4. Let a(u) = 15*u - 16. Let v(r) = 7*a(r) + 28*q(r). Determine v(b(c)).\nAnswer: -2569*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -13*n**4\/24 + 4*n**3\/3 + 74*n**2 + 15*n. Let z(r) = 21*r**2. Calculate z(v(c)).\nAnswer: 3549*c**2 - 4368*c + 1344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4562.508ml in litres?\nAnswer: 4.562508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*u + 56429 + 24976 = 0 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 - t. Let u(a) = a**2 + 2*a. Let w(f) = -2*i(f) - u(f). Let h(x) = -8*x**2 - 6. Determine w(h(q)).\nAnswer: 448*q**4 + 672*q**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 661650197 to the power of 1\/3, to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*j**3 + 972*j**3 - 2025*j**2 - 1947*j**3 + 4051*j**2 - 2026*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*j + 453*j**2 - 456*j**2 - 39*j**3 + 38*j**3.\nAnswer: -j**3 - 3*j**2 - 1062*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 89*b**2 - 925*b - 58. What is d(23)?\nAnswer: 1414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.79 + 32\nAnswer: 29.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7\/5, 0.2, -0.3, -5\/4, 3, 3.62, -4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9*f + 8. Let r be p(8). Let n be (-1)\/3 - ((-28)\/12 + r). Factor -4*q**4 + 5*q - 4 - q - 8*q**3 + 4*q**5 + 8*q**n + 6 - 6.\nAnswer: 4*(q - 1)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 1030 = 30*q - 947, 3*q = 3*i - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-11))**(13\/4)\/(i**(9\/7)\/(i\/i**(-14))) assuming i is positive.\nAnswer: i**(-435\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 305201.2 years?\nAnswer: 30520.12","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/5 - 3*j**2\/5 - 6*j\/5 + 8\/5 = 0. Calculate j.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -878 - -877. Which is the closest to s? (a) 6 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksfffdjdekejef. What is prob of sequence kk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j + 148*j - 126*j = -50 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 less than 7666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 4*w)*(-3*w**2 - 2*w**2 + 3*w**2) - w**3 + w**3 - w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 0.4 (b) 3\/5 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 + -236. Let a(m) = -2*m**2 - 51*m - 14. Let g be a(-22). Let f = u + g. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21141 by 9.\nAnswer: -2349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**5\/20 - o**4\/6 + 2*o. Let z be p(-4). Let n = z + -10. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = u + 5*n, -u + 14 = 5*n. Let y(s) = -78*s - 856. Let c be y(-11). What is t in 8\/3*t**u + 0*t**3 + 4\/3*t - 8\/3*t**c - 4\/3*t**5 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**3 + 0*j + 0*j**4 + 0 - j**2 + 1\/6*j**5. Let f(r) be the second derivative of r**4\/12 + r + 6469. Calculate f(s(i)).\nAnswer: 100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 - 7*v**2 + 2*v**2 - 48*v**2 + (0 - 2*v + 0)*(-4*v - v + 3*v).\nAnswer: -55*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -23, -55, -101, -167, -259?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.98 - -0.02. Let r = -13 + 13.08. Let f = -0.32 - r. What is the second biggest value in -1\/8, f, i?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtj when three letters picked without replacement from {m: 6, t: 4, j: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2232\/1710 - 124\/1178.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**16*r**(-6)*r assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142*y**3 - 18*y**2 - 57*y + 11371065 with respect to y.\nAnswer: 426*y**2 - 36*y - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 + 482*m\/13 + 972\/13.\nAnswer: -2*(m - 243)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1746\/(-4752)*-8 + -3)*18\/2\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -1027, -2633, -4881, -7771?\n\"Answer: -321*m**2 - m + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f + 3*x + 13, 3*f = -5*x - 15. Solve 0*q - 3*q - 6 = f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249846999 and 24265?\nAnswer: 4853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.90373 months in years?\nAnswer: 15.4919775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 11*j. Let a = -2 + 5. Solve -a*x = 5*z + 27, 0 = z - j*z + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008222 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 3*c**2 + 1. Let s be f(-3). Let y(n) = 14*n + 252. Let b be y(-18). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 7. Suppose -2*u - 3 - 3 = 0. Let a be b(u). Solve -2\/9 + 0*m + 4\/9*m**3 + 2\/3*m**a = 0 for m.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -309392 and -105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 3*s - 35. Let b be z(-5). Suppose 1164 = -38*j + b*j. Suppose 0*m = -m + 25. Calculate the remainder when j is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 17 (c) 3.486 (d) -2\/5 (e) -4 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - (-18)\/(-6)*1. Find the second derivative of -a*z - z**5 + 20*z - z**5 - 9*z**4 wrt z.\nAnswer: -40*z**3 - 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772264 (base 8) in base 11?\nAnswer: 167864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*d**2 + 728*d**2 - 1532*d**2.\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 - -3255?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 - g + 1. Let t(m) = m**2. Let p = -8 - -10. Suppose f = -p*f. Suppose 2*r = 3*y - f*r + 22, 3*y = 3*r - 27. What is y*t(q) + n(q)?\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32763736 and 1044?\nAnswer: 294873624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0452 * 0.17\nAnswer: -0.007684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*p + 1. Let z = 2.8 + -3. Which is the closest to p? (a) 2\/5 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1251655205 - 1251655218.99999962. Let n = -6 + -8. Let c = l - n. What is c rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + 2*r)*(2 - 1 + 1) + 3*r + 4*r - 5*r + (-3 + 9 + 94)*(r + 2*r + r).\nAnswer: 398*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516743 is divided by 514438.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1199 - 627 = -5*n, -4*n + 1480 = -4*w. Calculate the remainder when n is divided by 125.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-5)\/5)*-25. Suppose 2*x + r + 20 = -3*f, -55 = x - 5*f. Let l = -28 - x. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - c**2 + 2)*(-1 + 1 - 2*c + (1 - 1 + 1)*(-10 - 17*c + 10) + 0*c - 2*c + 3*c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*5 - 30\/15. Suppose w*x = 4*a - 0*a + 122680, -3*a = -15. Round x to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 3*u + u - 9*u - 12.\nAnswer: 2*u - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/((-2)\/(-12)). Let b = 0 - s. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 1364964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93145 and 127537.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 - 661496*z - 661492 = 0.\nAnswer: -165373, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x. Let f be h(2). Suppose -3*v + 15 = -f*l + 77, -5*l - 4*v + 109 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4, -30.408, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -5. Calculate the greatest common factor of 54 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 2. Let m be t(2). Let k(u) be the first derivative of u**2 - 5 - u + 3 + 3. Give k(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 4*p**5\/5 - 19*p**2\/2 - 1. Find the second derivative of b(q) wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 6, f: 1, z: 2}. Give prob of sequence fccy.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4789*x + 9. Let d be n(11). Let s = d - -1474953\/28. Let q = s + -23\/4. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n - 1397*n**2 - 17 + 4137*n**2 - 1381*n**2 - 1388*n**2 as i*n + p*n**2 + r and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 27 = 2*h + 4*p, -5*p + 15 = 0. Let c(d) = 2*d**2 - 3*d + 49. Calculate the remainder when c(h) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 126 + 114. Let u be (i\/(-48))\/(1\/9). Sort u, 12, -6 in ascending order.\nAnswer: -6, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 4869*c\/2 + 2435.\nAnswer: -(c - 1)*(c + 4870)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*y - 3*y - 54, -4*b + 42 = -2*y. Calculate the least common multiple of b and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301805507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20173*p - 5258. Is x(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3\/5 - 152*b**2\/5 - 484*b\/5 - 328\/5 = 0. Calculate b.\nAnswer: -2, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((288\/(-297))\/(-8))*(-72 - -82)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/4)\/(3\/24). Suppose 11*k - 55 + 73 + 4*k + 3*k**q = 0. What is k?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 224, 220, 216, 212?\n\"Answer: -4*y + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 471 + -291. Which is smaller: d or 1254\/7?\nAnswer: 1254\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23121210 (base 4) to base 5\nAnswer: 2443232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -3*sqrt(99)*-6 - (sqrt(99) + 4*(sqrt(99) - 2*sqrt(99))))\/(((-1*sqrt(162))\/sqrt(9))\/(sqrt(24)\/sqrt(108))).\nAnswer: -22*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*v + 22, -4*n + 405 = 3*v + 384 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (11 + 0)*-1. Suppose 0 = 7*z + 20 + 43. Let r be ((-12)\/(-8))\/(z\/y). Solve 0 = r*x + 2*x + m - 1, 5*x - 2*m + 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/5))**(3\/19))**44)**(3\/2) assuming u is positive.\nAnswer: u**(-396\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676719, 1353481, 2030289, 2707143, 3384043?\nAnswer: 4060989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1638 and 468?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)\/x**(-3)*(x*((x\/(x**0\/x))\/x)\/x)\/((x\/x**1)\/x))\/(x*x**(-4\/3)*x\/(x\/(x\/(x*x**(-8)*x))))**(-13\/6) assuming x is positive.\nAnswer: x**(184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9784989 millilitres in litres?\nAnswer: 0.0009784989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m - 6. What are the prime factors of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from mccmmmmmmmmm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*b + 3*b + 2*g, -326 = -5*b + 3*g. Let m = 96 - b. What is the remainder when 95 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828*u + 30105 = 873*u. What is the highest common factor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3, -3*c - 161*m = -156*m - 44. Let s(y) = -y**2 + 3*y - 2*y - 4*y**2. Let i(w) = -11*w**2 + 2*w. Calculate c*s(o) - 6*i(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-21))\/((-120)\/(-28)). Let l = p + 67\/210. Is 0.07 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3 - 5 - 16*k**3 to the form t + q*k**2 + i*k**3 + x*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2 - 8. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -213, 2, -2, 4 in increasing order.\nAnswer: -213, -2, -2\/9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -10. Let y(t) = -45 + 0*t**j + t**2 + 41 + 12*t. Let b be y(-13). Solve -5*l = 5*k + 15, -2*l + 3 = 4*k + b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 6*f**3 - 3*f**3 + f**3 - 3*f**3 + 0*f**3 - f**3 - 3*f + 3*f - 3*f + f**3 + 3*f + (2 + f**2 - 2)*(2 + 2*f - 2) + 2*f**3 - 2*f**2 + 2*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwxw when four letters picked without replacement from xllwxwllxx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -0.12, 50, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4521489*g*n - 1900103*g with respect to n.\nAnswer: -4521489*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 355712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -53. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/6*k**2 + 2\/3 - 2*k - k**3 + 1\/6*k**4.\nAnswer: (k - 2)**2*(k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35.9971 + 36. Round d to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (157 - 155 - 2*p**3 + p**3 - 9*p)*(2 - 5 - 1)*(5 - 1 - 1) as h + z*p**3 + b*p + l*p**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/13)\/y)\/(y*y**(-1\/8)))\/((y\/(y**0*y))\/y**(-2\/3)) assuming y is positive.\nAnswer: y**(-529\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/57 and -145\/306.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3831*k**3 - 16*k**2 - k - 18.\nAnswer: -22986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/3 - -2*6\/8. Factor j - 1\/2*a**2 - 1\/2*a**3 + 1\/2*a.\nAnswer: -(a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1))**37\/(k**(1\/10)*k*k*k*k**(-1\/3)) assuming k is positive.\nAnswer: k**(1027\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.06 (b) 0 (c) -466\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 15 = -5*a. Suppose -9 = -5*k + 11. Suppose 2*t - 3*t + k = 0. Solve 3*b = b + a*c + 6, -c = -t*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i - 241*i - 3696 = -105*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570002334.\nAnswer: 2, 173, 4537579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let m(i) be the first derivative of -i**3 - 346*i + 5079. What is m(n(u))?\nAnswer: -3*u**4 - 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 13 = -1. Let c be 0 - -2 - (o + -2). Let l = c - -13. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 5*p**3 + 5*p**3)*(p + 8*p**2 - 116*p**2 - 29*p**2).\nAnswer: 274*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + 48. Let v = n + 90. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499658511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 72. Which is the closest to -1? (a) i (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 228, 224, 232, 264, 332, 448, 624?\n\"Answer: 2*y**3 - 6*y**2 + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3040*s**4 - 18*s**5 + 725*s - 4668*s**3 - 848*s**2 - 725*s - 798*s**4 = 0. Calculate s.\nAnswer: -212, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428862?\nAnswer: 2, 3, 7, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 29*t**5\/5 - 21*t**3\/2 - 33*t + 3. Find the second derivative of j(w) wrt w.\nAnswer: 696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*o - 1 + ((2 + 3 - 3)*(-12 + 2 + 5) + 596 - 944 + 532)*(3 - 2*o - 3).\nAnswer: -346*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6256932 to the nearest 10000.\nAnswer: -6260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 7. Let l be u(-8). Let a be (-2 + l)\/(3\/(-24)). Suppose -3*i + a = -i. Let z(v) = v**2 - v - 5. Let h(o) = o**2 - o - 4. Give i*z(f) - 5*h(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5453*n**3 + 1 - 13353*n**2 - 115*n + 13353*n**2 wrt n?\nAnswer: -32718*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/10)\/(252\/(-120)) + -2. Factor 20\/7*h**2 - 2\/7*h**3 - i*h**5 - 8\/7*h**4 + 8\/7*h - 16\/7.\nAnswer: -2*(h - 1)**2*(h + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4782.1 - -4782. What is the closest to 4 in 0.2, z, -8\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-9))**(-37)\/(x\/(x\/x**14))**(-3\/5) assuming x is positive.\nAnswer: x**(-1808\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n + n**2 - 5*n + (-3*n + n + n)*(6*n - 2*n - 3*n) - 537479*n + 1788*n**2 + 537479*n to the form m + r*n**2 + f*n and give r.\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455) + sqrt(4455) + 2*sqrt(4455) - sqrt(55)) + (1*sqrt(385))\/sqrt(7))\/((2*sqrt(4455))\/(sqrt(77)\/sqrt(28))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 0, 9*g - 10*g - k = -4. Solve s + 3*s + n = 16, -8 = -g*s + n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 14*a + 46046 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.052262 and 331.\nAnswer: -17.298722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**3 - 9*a**2 + a - 10. Let q(y) = y**3 - y**2 - y - 1. Let o(h) = 6*q(h) - z(h). Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068068 is divided by 11492.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 2. Let j(v) = 34*v**2 + 102*v - 36. Let b = -286 - -250. Let m(x) = b*u(x) + 2*j(x). Let m(h) = 0. What is h?\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8567?\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = 0. Let h be (-5)\/(-5)*(-31 - -4). Let b = 3.2 - 4.2. What is the closest to b in g, -5, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20971708 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 i(a) be the first derivative of a**3\/3 + 2*a**2 + 8*a + 13. Let r be i(-4). Suppose -5*s = -r*s + 243. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.31 take away -106626900?\nAnswer: 106626901.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 709156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and -2\/761 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234231 (base 5) to base 2.\nAnswer: -10000111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -20*q**5\/9 - 338*q**4\/3 + 7046*q**3\/9 - 858*q**2 + 190*q = 0.\nAnswer: -57, 0, 3\/10, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 2*n + 4*n)*(0 - 1 + 2) + 9*n + 17*n - 3*n + 2*n + n - n + 5*n + 2*n - n to d + z*n and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -602 divided by 3044?\nAnswer: -301\/1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3 - 127*i - 4 - 3 + 5. Let u be l(5). Round u to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 20 = -19*j. Let t(r) = 3*r**2 - 8*r - 16. Let p be t(j). Calculate the greatest common factor of 304 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -980008490692?\nAnswer: 980008490691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-6)*(-1)\/3)\/(330870\/2690)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -889b3?\nAnswer: -889ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6270846 to the power of 1\/2, to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*q - 9, 3*q + 13 = -3*g - 14. Let v be g\/(-2)*64\/12. Let z = -30 + 41. Solve 29 = 5*d - 5*u - z, -5*d + u = -v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152713 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1 - -4*4\/(-8)). Let n(j) = 28*j**2 + 3*j - 15. Let w be n(p). List the prime factors of (w\/(-8))\/((-9)\/24).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(6)\/sqrt(2))*1)**2.\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11900722 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5292 - -23?\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210459, 210456, 210453, 210450?\nAnswer: 210447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 188.751.\nAnswer: -188.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14163833?\nAnswer: 14163833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2\/9, 57052.8?\nAnswer: 57052.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, -1\/3, 175?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 203410*g + 610185 = 0. What is g?\nAnswer: 3, 40679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*n + 12, -2*r + 2 = 2*n - 10. Suppose -3*f + 27 - r = 0. Sort 5, f, -5 in decreasing order.\nAnswer: f, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68)\/sqrt(4) - sqrt(1700)*-4)*-2.\nAnswer: -82*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8796*y**2 - 12144*y**2 - 14763*y**2 - 13970*y**2.\nAnswer: -32081*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y - 18 = 279 + 607 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/12 - 725*a**4\/12 - 485*a**3\/2 - 453*a**2. Factor s(w).\nAnswer: 5*(w - 291)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10915 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.9. Let m = 0.3 + -0.1. Let n = 0.6 - m. What is the closest to 1 in b, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11701 + -10882. Is q at least 813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f**2 + 1173*f + 1710 = 0. Calculate f.\nAnswer: -19, -30\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148 - 145. Let z(t) = -t**3 + 6*t**2 - 7*t + 5. Let y be z(5). Sort 6, y, h in increasing order.\nAnswer: y, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 160*z = 313 + 402 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + z)*(-2 - 2 + 3)*(-13878*z + 13878*z - 68*z**2).\nAnswer: 136*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 16*v**2 - 5*v - 5. Suppose -17*z - 97 - 80 = -143. Let k(m) = m + 1. Determine z*i(w) - 10*k(w).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + 89.899. Let h = i + -0.899. Is h at least as big as -2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 2 b when four letters picked without replacement from bspuptutbttttfp?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 14*v**2 - 14*v + 13. Let r be l(-13). Is r at least 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063085 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**2 - 10*m**2 + 0*m + 20*m**2 - 2*m.\nAnswer: -12*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.21823 (b) -0.56 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 212815, 212813, 212811, 212809?\n\"Answer: -2*l + 212817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -2*q**6\/45 + 3*q**5\/10 - q**4\/3 + 17*q**3\/6 + 31*q**2. Let d(p) be the first derivative of f(p). Let d(g) = 0. Calculate g.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {o: 1, q: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7264746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*x + 13. Let h(w) = 2*w**2 - 27*w + 12. Give h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -687a5 (base 12) to base 5.\nAnswer: -13424443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3936*d**3*m**3 + 3*d**3*m**2 + 88*d**3 + 725*d**2*m**3 + 5791*d**2 - 2*m**3 wrt m?\nAnswer: 23616*d**3 + 4350*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {p: 4, f: 1, u: 9, m: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-25)*5\/(-2). Factor 2*m**3 + 6*m**c - 6*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 333*s = -16*s + 3476 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**4 - 159978*g**3 - 106656*g**2.\nAnswer: 3*g**2*(g - 17776)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57826 or -767\/5?\nAnswer: -57826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-801)\/(-12) - -4) + (-2)\/(-8). Suppose -g = -0*g - h. Suppose 2*o + 2 = 0, 2*o = y - 57 - g. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 99, 132, 165, 198?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6075 and 397791?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(84)*-3 - (sqrt(84) - ((sqrt(84) - 1*sqrt(84))*1 + sqrt(84))))\/((sqrt(108)*2)\/sqrt(9) + (1*sqrt(84))\/sqrt(7))*-2)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 15. Let o = 0.5 - 0.8. Which is the second biggest value? (a) o (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4578 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 1 - 8*l - l + 7*l. Let x(q) = -7*q - 6. What is 6*k(u) + x(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.05, -0.8, 171\/25, 0.4.\nAnswer: -0.8, -0.05, 2\/11, 0.4, 171\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 111. Solve -y + 17 = 4*x, 2*y = -i*y + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421361*y**4 + 195756*y wrt y.\nAnswer: -5056332*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029152509.\nAnswer: 2281, 889589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -283145, -284983, -288047, -292337, -297853?\n\"Answer: -613*t**2 + t - 282533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5337\/(-297) + (-90)\/(-15) - -12. Let s(d) be the third derivative of 3*d**2 + 0*d - j*d**4 + 1\/330*d**5 + 4\/33*d**3 + 0. Solve s(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from hyhhhttoeyht.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5975 - 51235?\nAnswer: -56baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -3. Let l = 4 + b. Let a be (-2)\/2 + (22 - (-15 - -42)). Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-2*r - 5*r - 35*r)*(r**2 - 4*r**2 + r**2).\nAnswer: -252*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + -127.16. Let u = d + 129.76. Round u to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 31*v**3 + v**2 - 2*v + 1. Let i be 0 + 1 + -4 + -2 + 6. What is w(i)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*v - 8*v. Solve 15 = -x - v*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let o be k(1). Solve -26 = 4*h - o*c, -5*h + 8 = -5*c + 48 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445 - -449. Let p be 14\/5 - (-1)\/5. Let o = 10 + -7. Solve v - 6 - 2 = b*i, 6 = -o*i - p*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 14*t**2 + 12*t + 13. Suppose -5*i + 12 + 53 = 0. Let z be m(i). Which is bigger: z or -2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -618*l**2. Let v(a) = -4*a**2. Calculate v(o(i)).\nAnswer: -1527696*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 2*o - 6. Calculate the least common multiple of i(2) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*v - 48 = -7*n, 2*v = 0. Let a(k) = -k**2 + 62*k - 160. List the prime factors of a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iicczgvrcgvigvgiigiv. Give prob of picking 1 z, 1 r, and 2 v.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 948 * -0.2.\nAnswer: -189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.7 - -34.327. What is s rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468909056 by -2432.\nAnswer: 192808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.86 + 2.14. What is the biggest value in -4, -0.4, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 4*t + (-2*t + 2*t - 2*t)*(2 + 1 - 4) - 4*t + 3*t + 3*t - 9*t + 6*t - 6*t)*(-3*t + 2*t + 0*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -10 (b) 1 (c) 41.4 (d) -0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 15) to base 6\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20672608*i**4 - 3885*i**2 + 490*i + 1 wrt i.\nAnswer: 496142592*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:15 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(72) - (-1*sqrt(72) + sqrt(72))*6) + sqrt(72) + -1 + 1 + 4 + 2 + sqrt(72) + sqrt(72) + -1))**2.\nAnswer: 8640*sqrt(2) + 42372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(432) + sqrt(432)*2) + (sqrt(432) - (sqrt(432) + 2*sqrt(432))) + -5 + 1)**2.\nAnswer: -960*sqrt(3) + 43216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 168.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h**3\/9 + h**2 + 4*h\/3 - 8. Let k(o) = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 + 5*b. Let f(i) = 5*i + 36*i**2 - 25*i**2 + 3*i. What is 5*f(w) - 8*o(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-152)*2)\/(45\/(-36)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 13. Suppose -k + 2 = 21. Let h = k + c. Let t(z) = 3*z**2 + z + 5. Let o(a) = -4*a**2 - a - 6. Calculate h*t(w) - 5*o(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-400)\/(-2))\/((-23)\/(-129490)). Round m to the nearest 10000.\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*o + 782 + 364, 2*o = -r - 386. Let c = r + 659. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 585\/8 + -73. Let f be ((-12)\/(-3))\/(-1) - -3. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/15 + l**3\/3 + l**2\/3 - 15. Factor k(i).\nAnswer: -i*(i - 2)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4) + 8\/(-6). Suppose 0 = 39*i + 183 + 66 - 93. Which is the closest to 0.1? (a) 0.4 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t**(-2))\/(t\/(((t\/t**(1\/13))\/t)\/t)*t**2\/t) assuming t is positive.\nAnswer: t**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/60 + l**4\/12 + l**2. Let q be p(-3). Solve -q*c + 6*c - 3*c - c**2 + 1 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**2 - 28*u**2 + 22*u**2.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 1. Let f be q(-1). Suppose f*w + 50 = 5*w. Suppose 0 = -3*t + 4*t - w. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let v = -23\/21 - n. Suppose -2 = -4*p + 5*w, -4*p + 765*w = 763*w + 16. Which is the nearest to p? (a) v (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1267 - -2245. Let n = -971 + c. What is the biggest value in 3, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/11 - 19490*n**2\/11 + 47492256*n\/11 - 47472768\/11 = 0 for n.\nAnswer: 1, 4872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**7\/21 - 2*z**5\/5 - z**4\/3 + z**3 + 2*z**2 - 5*z + 98. Let t(f) be the first derivative of g(f). Solve t(r) = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/20376 and 17\/17169044?\nAnswer: 309042792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)\/((1 - -15) + -8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -1.87.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2287599\/434 or 5272?\nAnswer: 5272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362381 is divided by 395.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*q = -3 - 23, -2*q = -5*i + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.3601 and 37.81.\nAnswer: 34.4499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54670998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 10) in base 16?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immidwddhiddm. Give prob of sequence himi.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 490203000 rounded to the nearest one million?\nAnswer: 490000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*v**5 + 2670*v**4 + 110*v**2 + 1246*v.\nAnswer: -1380*v**2 + 64080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*n = -153, g = 4*g - 5*n + 71. Let j = g - -39. Find the third derivative of -b**3 - b**2 - 6*b**2 + 2*b**2 - j*b**2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 - 3*p**2 - 3. Let c(l) be the third derivative of -l**6\/120 - l**5\/60 - l**3\/6 - 83*l**2. What is -6*c(x) + 2*s(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2057) - (sqrt(17) + sqrt(17)*-2*-2 + sqrt(17))**2.\nAnswer: -612 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q. Suppose q = -2*i - 2*i + 116. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21532 - 72005 = -17*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 12*m + 36. Let l = 6 + -14. Let f be a(l). Let n be (-30)\/(-8) + 1\/4. Solve -f*u + 3*v = -15, 0*v - n = -u + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 41*z + 2. Let b(a) = 11*a**2. Determine k(b(t)).\nAnswer: 451*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/140 and -81\/158.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - -7 - ((-74)\/111)\/((-6)\/27). Which is the closest to -0.1? (a) f (b) 0.3 (c) 0.4 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1887656 (base 10) in base 6?\nAnswer: -104243052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 485.45946 to 1 dp.\nAnswer: 485.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 1, u: 5}. What is prob of picking 2 f, 1 u, and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) -5 (c) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1047*d = -1040*d - 42. Suppose 0 = d*x - 50674 + 1798. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 42*w + 111. Let s be g(18). Solve -6 + 9 = -s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3292 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**3 + 1170489*b - 2265764.\nAnswer: 3*b**2 + 1170489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.2? (a) -6 (b) -2\/5 (c) 13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from txxttxjjtt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3)*(-237*s - 246*s + 11*s).\nAnswer: 1888*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795559?\nAnswer: 137, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/21, -0.09, 0, -0.3 in descending order.\nAnswer: 5\/21, 0, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2300.99978575 - 2301. Round n to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Let k be (5\/2)\/(2\/8). Suppose 0*g + k = 5*g. Let i(l) = -g*l**2 + 3*l**2 - 3*l**2. Calculate f(i(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2. Let t be (2\/10)\/(10\/50). Let r(j) = 3*j + 3*j - t + 1. Let b(p) = -5*p. Let s(k) = 7*b(k) + 6*r(k). Give s(v(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*d**2 + 76724*c - 14776*d**2 wrt d?\nAnswer: 2*c*d - 29552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -465, -3762, -12711, -30138, -58869, -101730, -161547?\nAnswer: -241146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 193, -5, -9, 0, 21 in increasing order.\nAnswer: -9, -5, 0, 2, 21, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -2*sqrt(65)*2)\/(sqrt(80) - (sqrt(80) + 2*sqrt(80))).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 6. Suppose -2*c = 5*k + 3*c + 65, 5*c = -4*k - 57. Let o be 3\/(-2)*k\/12. Sort -1, j, o.\nAnswer: -1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 3*i**2 + 2*i - 8. Let x = -869 - -879. Suppose 1015 = -x*g + 975. What is v(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13112313 (base 4) in base 8?\nAnswer: -72667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 11) to base 3.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3397 is divided by 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79542893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(6)\/sqrt(2) + 1 + sqrt(3).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 279*h - 27531. What is p(92)?\nAnswer: -1863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 - 6*t + 3. Let z be m(-6). Suppose 4*w + u = 20, -u = -z*w - w + 28. What is the derivative of -w*c**3 - 8 + 2*c - c - c wrt c?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2225, 0, 2, 30 in increasing order.\nAnswer: 0, 2, 30, 2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(-3))\/x))\/x)\/x**(-2\/47)*(x**(-11))**(-1) assuming x is positive.\nAnswer: x**(660\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 - 581 = -5*s. Let n(a) = 13*a + 9. Let t be n(-8). Let h = t + s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from tfptptfpp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/9)*s)\/s**4*s\/(s**6\/s)*s*((s*s**(2\/7)*s*s*s)\/s*s*s)\/s assuming s is positive.\nAnswer: s**(-101\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**8)*j*j\/(j**4\/j*j))\/(j**(1\/3)\/j)**20)**(9\/8) assuming j is positive.\nAnswer: j**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 - 2*a + 3. Let p(h) = -h**2 - h + 1. Let y(q) = -3*q - 9 - 1 - 2. Let r be y(-5). Give r*p(k) - f(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 592423 = -7*q, 423145 = 5*q + 2*l + 3*l. What are the prime factors of q?\nAnswer: 2, 11, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105864 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3\/7 (c) 223 (d) 2 (e) 2\/7 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.136 + 0.185. Let n = 0.04746 - u. Round n to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 1. Let r(c) = -4*c**4 - 12*c**3 + 4*c**2 + 4*c - 8. Let v(o) = -8*k(o) + r(o). Factor v(h).\nAnswer: -4*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 1. Determine w(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 8*r + 4. Suppose -5*y + 4029 = 2*a - 881, 0 = -r*y + 3*a + 1964. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y**2\/5 + 2635090*y - 3293862\/5 = 0.\nAnswer: 1\/4, 1646931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34973223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1090\/13 + 84. Let i = 60 + -61.08. Let g = -0.08 - i. Put -5, g, t in decreasing order.\nAnswer: g, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106904 take away 23790?\nAnswer: -23789.893096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27175367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6268354375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29*-14*(-74)\/1036\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.83 and 0.084.\nAnswer: 2.16972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 23. Let t be 20\/(-35) - b\/7. Let w be 6 - 15\/((-1725)\/(-680)). What is the closest to -2\/51 in -0.5, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + (54 - 50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 10*m. Suppose -9*u = -4*u - 60. Let i be n(u). Let y = -13 - i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Find the third derivative of 19*y**u + 5*y**3 - 33*y**4 - 8*y**2 - 5*y**3 wrt y.\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.069, -0.11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011011111100111 (base 2) in base 15?\nAnswer: 2d123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 576?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43402536.\nAnswer: 2, 3, 19, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r + 252 = 72. Let h = -0.06 + -0.24. Put 3\/2, r, h in descending order.\nAnswer: 3\/2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + o + 126 = 0. Let i be -2*(85\/o + -4). Let k be (-8)\/30*(-6)\/(-4). What is the third biggest value in 0.3, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhqhqqqqcqhqhqhqqq. What is prob of sequence qqh?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4\/4 + h**3\/3 + 2*h - 6. Determine t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from fuqqquqfo?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-119) - (-9)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - z + 224 = 0, 0*r + 2*r - z = 156. Let n be r\/(-18) + (-2)\/(-3). Is -5 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10654 - 8?\nAnswer: 10645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 793668 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.527522 hours to microseconds.\nAnswer: 9099079200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**3 - 10*p**2 - 204*p + 614. Calculate a(3).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 8. Suppose 2*m - 3*v = g, m + 4*v - 3*v = -2. Suppose -2*d - w + 30 = 0, m*w + 76 = 5*d + 2*w. What is the smallest common multiple of 20 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/85*2\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 3, h: 2, w: 6}. What is prob of sequence wc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -163, -223?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/30*k**5 - 1\/12*k**4 - 7\/120*k**6 + 8*k**2 + 0 + 0*k - 1\/3*k**3. Is f(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x + 165. Let i(y) = 11*y - 165. Give 6*b(m) + 5*i(m).\nAnswer: m + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202 is divided by (-11 - (-100)\/8)\/((-15)\/(-790))?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3012, 0.1, -2, 1 in descending order.\nAnswer: 1, 0.1, -2, -3012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 1\/3, 1985?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -62. Calculate the highest common factor of r and 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -50\/17863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 250233553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.854nm in meters?\nAnswer: 0.000000205854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-43 - 3\/(-1))\/(-2). Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 h when three letters picked without replacement from eiyhiieaih?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 1086*w - 181273. Determine a(206).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 1035 + 50. What is the greatest common divisor of 93 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - x = 10, -16*x + 30*x - 58 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16375*w**3*z + 16134*w**3 wrt z?\nAnswer: -16375*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*p - 6 = z, 0 = 4*p - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. Let x be 4\/(70\/264 - (-44)\/(-242)). Suppose x = -q*l + 12*l. Calculate the remainder when l is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let d(z) = -2*z - 6. Let p(u) = -10*u - 32. Let t(b) = -16*d(b) + 3*p(b). Give q(t(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1021?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 2\/3, -2\/11, 2\/17, 0.3359, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r - 0*w + 4*w, -2*w = r - 6. Let k(c) = 5*c**2 + 2*c - 2. Let n(a) = 2*a**2 - 1. Let b(l) = 3*k(l) - 7*n(l). Calculate b(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**4 + 38\/5*w**5 - 31\/2*w**2 - 63 + 0*w**3 - 4*w. What is the second derivative of s(d) wrt d?\nAnswer: 456*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -693 + 1076. Suppose i - 5 = 0, -w = -5*h - 2*i + 147. What is the smallest common multiple of h and 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 24 = 28335*v - 28347*v, -v + 4*g = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18439, -36985, -55531, -74077, -92623, -111169?\n\"Answer: -18546*g + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**3 - 56*r**2 + 9*r + 56. Let q(y) = 7*y**3 - 28*y**2 + 5*y + 28. Let c(o) = -6*n(o) + 11*q(o). Factor c(s).\nAnswer: -(s - 28)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36101892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2452 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-11.89\nAnswer: -22.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 122*h - 319*h + 37*h)*(14 - 5 - 5) as p + s*h and give s.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*x + 3, 4*k + x - 4*x - 12 = 0. Suppose 4*i - 31 + 19 = 0. What is the second derivative of -m**k + 2*m + 0*m**i + 0*m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/30 + l**4\/18 - l**3\/9 - l**2\/3 - 12*l. Factor z(a).\nAnswer: 2*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29377*h + 3105 = 29512*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5169736 and 5815953?\nAnswer: 46527624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 370*h**2. Let d(l) = 2*l**2. Give u(d(j)).\nAnswer: 1480*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-18) + (-2)\/(-9). Suppose -3*p + 40 = d, g*p + 121 = 5*d - 147. What is the remainder when d is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s*s)\/(s**(-2\/13)\/s)*(s\/(s*(s**(-1\/13)\/s)\/s))\/(s**(4\/3)*s))**(-43) assuming s is positive.\nAnswer: s**(172\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 15c5?\nAnswer: -15bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 617, 4, -3 in increasing order.\nAnswer: -6, -3, 4, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*g + 4, -3*g + g = 2. Suppose -2239*i + 573 - 73 = -2139*i. Solve -n*h - 4 = -i*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 14*a**2 + a - 14. What is b(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*u - 2*u. Let z = -9 + 12. Suppose -t + l + u = 6*l, -z*t + 34 = -l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**10\/226800 + n**9\/90720 + n**8\/15120 + n**5\/30 - n**2. Let a(d) be the third derivative of y(d). Factor a(l).\nAnswer: -2*l**2*(l - 2)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -4927?\nAnswer: 24635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 10, i: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012510866 to 7 decimal places.\nAnswer: 0.0001251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 152, 221, 274, 299, 284, 217, 86?\n\"Answer: -2*z**3 + 4*z**2 + 71*z + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.07 - -0.07. Let z = a - -11. What is the third smallest value in -1\/5, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p + 1. Let c be 30\/12 - 1\/2. Suppose 0 + c = -2*b. Let w(o) = 3*o**2 - 6*o - 6. Let x(g) = b*w(g) - 3*v(g). Factor x(k).\nAnswer: -3*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -38*a + 1. Let k be p(-2). Suppose 3*s - 23 + 5 = -j, -5*j - 4*s + 35 = 0. Suppose -j*x - 3*b = -8 - 43, 0 = 5*x - 3*b - k. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -40, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19917499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + -3*sqrt(11) + sqrt(99) + 0 + -3)**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 2, z: 2, j: 3}. Give prob of sequence oz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -15, 3 in ascending order.\nAnswer: -15, -12, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 391577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4 + 155178*n**3 - 2006529123*n**2 - 4013523792*n - 2006839488 = 0.\nAnswer: -1, 25864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133146 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j - 7. Let u(s) = 4 + 1 - 1 - 2*s + 4*s. Let a be -5 - 2\/(1 - 2). Let r(y) = a*k(y) - 5*u(y). What is the first derivative of r(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617c (base 13) in base 7?\nAnswer: -233331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = v - 15, 125*x - 128*x = 3*v - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3450459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12918*i**2 - 6457*i**2 - 6459*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 5. Let j be b(-3). Let m be ((-4)\/(-6))\/(j\/312). Find the common denominator of (-13)\/m - (-17)\/(-12) and -145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 + 1)*(2*j + 2*j - 2*j) - 1 + 4*j**2 - 2*j**2 + 2.\nAnswer: 6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + x + 282 - 3*x + 247*x**2.\nAnswer: 247*x**2 + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 210\/60*(-48)\/(-21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeefffefefeeeeeeeee.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 124 = 5*v. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35856 and 13446.\nAnswer: 107568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5\/11 - 14*c**4\/11 + 40*c**3\/11 + 230*c**2\/11 + 324*c\/11 + 144\/11 = 0. What is c?\nAnswer: -3, -2, -3\/2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 12*t + 27)*(-5 - 2 + 2)*(t**2 - t**2 - 2*t**3).\nAnswer: 120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**2 + 1327*l - 1910. Determine h(-112).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 544160879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*h + 21 = 2*h, -3*n + 7 = -h. Do 5\/2 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(425) - (sqrt(425)*-2 + 4))*3)**2 - ((sqrt(170) + sqrt(170) + (sqrt(170) - (sqrt(170) - sqrt(170)*-1)))\/sqrt(10) + sqrt(425)*-6))*4.\nAnswer: -21020*sqrt(17) + 691380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 55. Let z be k(9). Let i(p) = -45*p**2 + 36*p. Let y(t) = t**2 - t. Determine z*i(v) + 36*y(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12) - 82532\/21072?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 + 6160*q**3 + 6048432*q**2 + 1925259840*q + 3826375200 = 0.\nAnswer: -1458, -810, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -39\/2. Let d(v) be the first derivative of -t*v**2 - 1\/6*v**3 + 1\/8*v**4 + 1 + 0*v. Factor d(k).\nAnswer: k*(k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - g**2 - g**2 + (1 - 1 + 1 + (4 - 2 - 1)*(3 - 4 + 2) + 3 - 5 + 4 - 4 + 3 - 1 + 327 + 161 + 476)*(0 + 0 - g**2).\nAnswer: -968*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s + 13. Let h be t(-4). Let l = h - -44. Solve -3*g - l = 0, g + 4 - 21 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 51*n + 147. Suppose 5*u = 2*z + 85 + 65, u - 5*z = 53. Let g be (-3)\/(-2) - u\/24. Which is the nearest to -1\/3? (a) n (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 3 + 7 - 4.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(117) + -2 + sqrt(117))**2.\nAnswer: -72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -96 - (-9 - -11)) + (10 - -58 - 57)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 5*j**3 + 2*j**3)*(2*j**2 - 4 + 4) + 2*j**5 - 3*j**3 + 3*j**3 + (-5 + 0 + 3)*(-2*j**4 - j**5 + 2*j**4) - 2*j**2 + 2*j**2 - 5*j**5.\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14402 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 71*h**2 + 10*h + 19. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14825101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161 * 361.\nAnswer: -58121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from ddkjmddkkkkmkkdkdm?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*j**2 - 49*j wrt j.\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103876*g = 103878*g + r + 16, r = g - 31 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1234 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-162))\/((-2137)\/(-19233))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272 * 3.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) - (400\/18)\/(-1). Suppose -2 = k + 2*c, 2*c = -4*k - 12 + x. Calculate the lowest common multiple of 5 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7.3967, 2\/5, 0.22, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/6 - 2*h**2 + h. Let m be t(5). Let l(j) = 3*j + 1. Let o be l(m). Solve 0 = f + o*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (875\/(-70) + 11)*(-44)\/(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = v - 5*w, -2*w = -5*v + 3*w + 350. Let t be 29\/3 - (-4)\/(-6). Calculate the highest common divisor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:35 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -647 <= -646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 21 - 19) + 12 + -2 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 5*v)*(-v + v + v)*(495*v - 1266*v + 564*v).\nAnswer: -414*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 4*d. Suppose 2*n - 6 = 2*i, i = -2*n + 6 + 6. Let z be x(i). Is (-3225)\/(-11) + z\/(-88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/4))**(2\/75))**(2\/43)\/(a\/(a**(1\/2)\/a)*a**(-1))**(-27) assuming a is positive.\nAnswer: a**(17417\/1290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8.4. Suppose -4*t - 4*l + 52 = 0, -4*t + 0*l + 3*l + 17 = 0. Let n be (-6)\/8*t\/(-3). Sort z, n, -2\/3 in descending order.\nAnswer: n, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/14)\/((-960)\/926). Let a = g + -1\/224. Factor 0*n - a*n**2 + 2\/15.\nAnswer: -2*(n - 1)*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 539.\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*l - 34510*l**2 - 65*l + 528*l**2 + 3517*l**2 to g + r*l**2 + s*l and give r.\nAnswer: -30465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15*i = 0. Suppose l = -i*l. Suppose l*v + 7*v = 455. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20098836 a multiple of 537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t + 1. Let o = 1263 + -1258. Let p(z) = 14*z - 2. Determine o*p(x) + 8*y(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1275 and 13321625?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 5, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -335, -688, -1173, -1784, -2515?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t. Let r(o) be the third derivative of -13*o**5\/120 + o**4\/6 + 149*o**3\/3 - 202*o**2. Let x(c) be the first derivative of r(c). What is x(f(i))?\nAnswer: -26*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cc781 - 2?\nAnswer: 2cc77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2 + 2*s - 2)*((-4 + 0 + 0)*(-1 + 6 - 3) - 4 - 5 - 5 - 1 - 5 + 5).\nAnswer: -92*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 3, 371 in ascending order.\nAnswer: -18, -1, 3, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08946700986 rounded to 5 dps?\nAnswer: -0.08947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094623 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 22496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565490.\nAnswer: 2, 5, 193, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 6*y - 36. Suppose 33 = 5*x + y. What is the greatest common divisor of 42 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -5*h**7\/14 + 10*h**6\/3 - 47*h**5\/4 + 35*h**4\/2 - 10*h**3\/3 - 20*h**2 - 687*h. Let g(t) = 0. What is t?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x + x. Suppose 3*p - 720 = -x*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303*v + 783 = 1332*v for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5150 in -8, 0.03, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 8. Let m = -93865\/59 - -1591. Let a = 50\/1003 + m. Sort f, a, -1\/9, -2\/11 in ascending order.\nAnswer: f, -2\/11, -1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2213968, -4427992, -6642016, -8856040, -11070064?\n\"Answer: -2214024*h + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3048 or 3047?\nAnswer: 3048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l = -7 + 93 - 45 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -479*w**6\/15 - 5759*w**3\/6 - 2*w**2 - 11*w - 48. Differentiate t(i) wrt i.\nAnswer: -11496*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712*2065\nAnswer: -1470280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(7\/((-84)\/16) + 1). Suppose 0*i - 5\/4*i**5 + 1\/2*i**3 + 0*i**2 + 0 - 3\/4*i**t = 0. Calculate i.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126233 is divided by 125901?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/36 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = -5*w + 366, -w + 70 = -k. Calculate the greatest common divisor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + -101110110201111?\nAnswer: -101110110200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 12*z**2 - 13*z + 3. What are the prime factors of c(9)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 281. Let h = 336 + q. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q*q*q**(1\/6)*q*q)\/q*(q\/q**(-6))\/q*q)\/((q*q*(q*q**(2\/5))\/q)\/(q**(-9)*q)))**32 assuming q is positive.\nAnswer: q**(848\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 14*i**3 + 40*i**3 + 0*i**3 - 13*i**3 - 8*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7))**2*-2 + sqrt(63) + sqrt(63) + 2.\nAnswer: -12 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -10 - (-1705)\/(-55))\/(6\/(-8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39\/7 - 5. Let f = 0.08 - 0.18. What is the closest to f in -3, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwqu when four letters picked without replacement from {h: 1, w: 2, q: 2, u: 7}.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1638*n - 40. What is the tens digit of q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/(7\/(-63))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:08 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11272486.8 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979424 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 2*v**4 - 6*v**2 + 10*v**2 - 2 - 3*v**4 - 2*v**2 in the form w*v + t*v**3 + f*v**2 + a + h*v**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 1.408.\nAnswer: 0.9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/37 (b) 2\/2067 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*h - 36 + 36)*(0 - 3 + 5)*(0*h - 35 + 31 - 3*h) to the form g*h**2 + o + r*h and give r.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-265)\/(-1106) - (-3996)\/(-18648).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (3 - (4 + -9)). Suppose -506 = -z*b - 128. Suppose 0 = -2*m + 4*m - 86. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294.8543117 to the nearest integer.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3 - 1476*h**2 + 2949*h - 1474 = 0?\nAnswer: 1, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + 0.392.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 13 + 4 = -4*l, 6*l + 5*t - 21 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q**2 + 3*q - 13*q + 10*q + q to the form u*q**2 + w*q + c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559141956, 559141957, 559141958, 559141959, 559141960?\nAnswer: 559141961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + r**2 + 4*r - 3. Let s = 6652 + -6650. Calculate c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24067 + 4?\nAnswer: 2406b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 176, 3, -36846 in descending order.\nAnswer: 176, 3, -4, -36846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11988165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*d + 16 - 16 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 - (-11 - 4)))\/(2\/(-6))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by -647.\nAnswer: 344\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -122 (b) 137 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33387 by -7.\nAnswer: -33387\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4742465 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0, -5, 2.9, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -122. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1842 + -1844. Let a(f) = -9*f**3 - 4*f**2 + 2*f + 5. Determine a(b).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 1. Let l = 8 + g. Suppose -l*o = 3*y - 31, -2*o + 13 = -0*o - y. Solve 0 = -3*s - 0*s - 12, 2*s = f - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 957 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let v(x) be the second derivative of 532*x**3\/3 - 7561*x - 1. Calculate v(a(m)).\nAnswer: -2128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o. Let u(i) = -i + 3. Let v be u(o). Solve -4*s + 4*m - 24 = -0*s, -v*s + 5*m = 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaa when three letters picked without replacement from ucazcjazcccac.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**3 + p**2 - 25*p + 84. Calculate the lowest common multiple of k(4) and 63.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvs when four letters picked without replacement from {v: 3, k: 6, s: 3, o: 2, r: 4}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 68. Calculate the highest common factor of p and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(104) + sqrt(104)*-2))\/sqrt(8) + (sqrt(78)*2)\/sqrt(6) + sqrt(13)*-1 + 2)**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 + -54. Which is greater: -330 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*a - 24, 3*a + 1 = 4*w + 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3 - 18. Suppose 3*h - 7*h = -2*i - 20, -2*i = -h + y. Suppose 2*j + i*j = 5*x - 250, 4*j = -2*x + 76. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o**(2\/53))**(16\/11))**(30\/11) assuming o is positive.\nAnswer: o**(128160\/6413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*q = 81*q - 72 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*t + 8 = 2*t, v - 4*t = -13. Let b(m) = -3 - 3*m - 1 + 3. Let j be b(v). Solve f = -1 + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 36*a - 20. Let k(b) = -2*b**2 - 35*b - 21. Let y(t) = 4*d(t) - 3*k(t). Let c be y(17). Let x = c + 104. Solve g - 11 = w - 4, -w = x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h - 13*h - 5*h + (-5*h + 0*h + 4*h)*(0 - 4 + 6) - 3*h - 2*h + 3*h - h - 4*h + 4*h - 4*h + 2*h + 3*h to m + v*h and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.18. Let z = 0.42 - k. Let f = -0.1 - z. Is -3 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 + 14383\nAnswer: 14382.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63682, -127315, -190948, -254581, -318214?\nAnswer: -381847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-442)\/(-816) + (-5)\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5758 + -289?\nAnswer: -6047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -293.\nAnswer: -292.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 150\/9. Suppose 5 = -k + t. Suppose 0 = -a - a + k. Solve -5*w = -a*w + 4*r + 18, -3*w + 3*r = -9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004416709392 rounded to 7 dps?\nAnswer: 0.0004417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29567 minus -555123?\nAnswer: 584690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:46 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*t - 961 - 431 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10542 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 491 + -8353\/17. Let c = 0 + 4. Suppose c*s = 6*s - 2. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 296*x - 42. Does 38 divide o(-62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 535. Let r = 8 - 8. Is m(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 11*i - 6 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 2}. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10058192 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(2\/3))*y**16*y**(1\/3)*y\/(y*y**(-16)*y) assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*p + 7, 71*m - 2*p = 66*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -19\/193, 4\/3.\nAnswer: -19\/193, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-15)*(-10)\/2. Suppose 0 = 4*r + 1 - 5. Let t = -184 - -917\/5. Which is the nearest to -1? (a) r (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*g**2 - 13 + 16\/3*g = 0.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31447, -61034, -90621, -120208, -149795?\nAnswer: -179382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 32. Suppose -f = -3*g - 2. Differentiate 3*u**3 - u**3 + g + 3*u**3 wrt u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2820, -2729, -2484, -2007, -1220, -45, 1596?\nAnswer: 3781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -40. Suppose b + 1 = -2*j, 2*b - 5*j + 5 = 6*b. Let o be (2 - 8\/b)\/((-4)\/(-560)). What is the greatest common divisor of m and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 362 - 348. Let u(y) = 101*y**3 + 2*y - 100. Let o(g) = -g - 1. Let w(j) = a*o(j) - u(j). Find the first derivative of w(p) wrt p.\nAnswer: -303*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109d3 - 1ea4?\nAnswer: -12987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458465 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-17))**(2\/129)\/(((m*m*m\/((m*m\/m**(-1\/3)*m)\/m*m*m))\/m)\/m**(-2\/107)))**(-38) assuming m is positive.\nAnswer: m**(-358606\/4601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - (sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99) + 6*sqrt(99)*-4 + sqrt(99))) - sqrt(99) - sqrt(99)))\/sqrt(9) + -2.\nAnswer: -2 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1675397*o**6 + 3516*o**2 + 66*o - 1 wrt o?\nAnswer: 201047640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 0.07 (c) 60\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3*c**4\/4 + 2*c**3\/3 - c - 1. Suppose 3*r - 8*r + 5 = 0. What is m(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 5 (c) -513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 677238 and 820.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 8*b - 216554 = -36*b. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 24. Suppose 5*y - c = 123. Suppose -y - 43 = -5*u. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(1\/4)*w)\/w)\/w)\/(w\/w**(-3\/7)))\/(w**0)**(2\/37))\/(w*w**3\/w*w**(-2\/13)*(w**(-2\/7))**(-43)) assuming w is positive.\nAnswer: w**(-6301\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66029 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 0*h - 3*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12518792 + 12518792 - 10*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, c: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 494439\nAnswer: 247219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r - r. Let x be (4\/(-8))\/((-1)\/r). Suppose 0 = -4*d - x*m, 2*m + 6 = -2. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 30200?\nAnswer: -30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273590106?\nAnswer: 2, 3, 23, 1982537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, 14, -5, 40, 4 in decreasing order.\nAnswer: 40, 14, 4, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(104)*3 + sqrt(104)))\/(sqrt(128)*2 + sqrt(8) - (1*sqrt(88))\/sqrt(11)) + 0.\nAnswer: 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57284563 + -57284413.000314. Let m = -150.0418 - -0.0418. Let s = m + i. Round s to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 + -160. Suppose -a - 4*d - 13 = -y, -2*a = -d - 82. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 1. Let k be z(2). Let p = k - 4. Suppose 24 = p*l - l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665545551?\nAnswer: 1665545551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -257493249 divided by 19807173\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:51 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 c when three letters picked without replacement from tacckrr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 158*m**2 - 2*m. Let c = -1313 - -1937. Let r(j) = -7 + c*j - 623*j + 7. What is z(r(k))?\nAnswer: 158*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + 0 + (6 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-6 + 17) - 2\/(-2). Let h(x) = x**3 + x**2 + x + 381. Let y be h(0). Suppose -b - t*b + y = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654 minus 1553.338?\nAnswer: -3207.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 + 4\/1. Solve -4*o + 2 = -m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(6\/(-7))*(-7)\/(77\/(-11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*n - 5, 3*n + 2*d = 1 + 4. Let b be (871\/2412 + (-2)\/(-24))*78\/8. Is n greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) -0.01 (c) 3.9 (d) 1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4)*(-4)\/40)\/(143*68\/(-1768)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 3*i**3 - 42*i**2 + 102*i + 2. Let g be r(8). Calculate the greatest common factor of 130 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2118\/(-4) + (-27)\/(-54). Let r = -528 - g. Let x be 37\/5 - (-2)\/(-5). Calculate the greatest common divisor of r and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1025866 and -1025858 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 2:27 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 678*l = -682*l - 32, 0 = 160*s + l + 650 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107373 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 28 = 20*m, 4*w - 1 = -2*m + 2 + 1 + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -24*p + 356. What is the remainder when s(9) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 17, o: 3}. Give prob of sequence orr.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34526 + 0.9178?\nAnswer: 34526.9178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3899445 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 66 + 11 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 1 (b) 2\/9 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-25)*-5 - (1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67080481 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 919901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 332*a*b*s**2 + 144*a*b*s + 21*a*b + a*s**2 - 4*a - 313*b*s**2 + b*s + 2*b - s**2 + s + 1 wrt s.\nAnswer: 664*a*b + 2*a - 626*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917123101 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (-3*2*sqrt(104) - sqrt(104)) - sqrt(104))\/(sqrt(8) + (sqrt(8) - (sqrt(8) - (sqrt(8) + (2*sqrt(288) - sqrt(288)) + sqrt(288)))) + sqrt(8)).\nAnswer: 7*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 35*q + 82. What is w(-18)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from {y: 3, w: 2, v: 2, q: 3, k: 5}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -8*b**5\/7 + 11234*b**4\/7 + 224104*b**3\/7 + 1263464*b**2\/7 + 1492672*b\/7 - 455680\/7 = 0.\nAnswer: -10, -8, -2, 1\/4, 1424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.161 take away -1.451082?\nAnswer: -10.709918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(384)\/sqrt(8) + sqrt(48) - sqrt(48)))**2 + -5.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0445 or 9809?\nAnswer: -0.0445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 263*v + 1146. Determine w(61).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1201 - -1200.27864. What is g rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 3, s: 7}. What is prob of sequence css?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955571 is divided by 188.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 179, -2\/3 in decreasing order.\nAnswer: 179, 1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 33693.2.\nAnswer: -33693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 = 5*v + 5*z, 0 = 3*v + 3*z + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050156 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 706892 and 37762?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122213 - -101222?\nAnswer: 230101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/63 + 580\/18. Suppose q + z = 3*p, 2*p + p + 5*q = 56. Suppose -4*l = p, 5*a - 96 - 6 = -l. What is the highest common factor of 42 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 + 2*h - 2. Let l be 3*(1 - 0)*(-40)\/40. What is z(l)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.4, -20\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owowwoo. What is prob of picking 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*f - 9, -2*s + 0*s - 5*f = 18. Put s, -46, 0 in ascending order.\nAnswer: -46, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**8\/9240 + y**7\/1540 - y**5\/165 - y**3\/3 - 4. Let o(k) be the third derivative of t(k). Suppose o(r) = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*o + 258, -3*b + 2*o + 385 = -0*o. Let k = -132 + b. Sort k, -3, -2 in descending order.\nAnswer: -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/11127 and 81\/14836.\nAnswer: 44508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*-431.\nAnswer: -27153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10668 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -34. Factor 2*o**3 - 5*o**3 + 3*o + 7 - y.\nAnswer: -3*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289714 (base 14) to base 11.\nAnswer: 882716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48141 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108507 is divided by 162?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 5*m, 0 = i + 5*m - 21. Let w be 1*(i - 2) - -3. Let h = -1 + 0. Which is the closest to h? (a) w (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36516 = -134*s + 151*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 203, 305, 409, 515, 623, 733?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3) + 1196\/(-728).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g - 5*q = -55, 3*g - 2 = -4*q. Let d(z) = z**2 + 26*z + 122. Let b be d(g). Solve -b*x + 2*j = 3*j + 3, -x - 14 = 3*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v. Let u(c) be the first derivative of c**2 - 9. What is f(u(g))?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/329273697 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let o = -0.17 - 0.29. Let r = -1.16 - o. Which is the nearest to h? (a) 4 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t - 6 = -3*m, 2*m = -t + 7. Let g(s) = -s**2 + 1 - t - s**2. Let v(d) be the third derivative of d**5\/60 + 2*d**2. Calculate g(v(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24791840\/548713 - 1\/49883. Let j = s - -45. Let m = 2.8 - 3. Which is the nearest to 2\/7? (a) m (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 526, 2095, 4690, 8305, 12934, 18571?\n\"Answer: -p**3 + 519*p**2 + 19*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2\/7 + 1842*m\/7 - 4580\/7 = 0. What is m?\nAnswer: 5\/2, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-3*7\/(-189)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = -p + 7, 5*p + 4*k + 16 = 0. Solve p = 10*z - 3*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 16*r - 17*r + 3*b, r - 2*b = -3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, m: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -149*i**3 + 3*i - 3. Let n(p) = 596*p**3 - 14*p + 12. Give -2*n(l) - 9*w(l).\nAnswer: 149*l**3 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4\/109 (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416755805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a1 (base 15) to base 6.\nAnswer: 14024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31790\/176*4\/10 + 5\/(-20) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 1602616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10768585 is divided by 6903?\nAnswer: 6808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**(1\/2)*(r\/(r*r\/r**(5\/2)))\/r**(-1\/4)*(((r\/(r\/r**(-1\/5)))\/r)**28)**(10\/7) assuming r is positive.\nAnswer: r**(-1291\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.272 - -3.272. Which is the nearest to -96? (a) -5 (b) s (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 6 - 8 - 15*h + (-2 - h + 2)*(-3 + 0 + 4).\nAnswer: -16*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -36.9959. Round m to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-15))\/((-6)\/100). Let b = -66 + v. Let x = b - -79. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 210 (b) -0.045 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 76 = 4*x - 2161, x + 2 = 0. Calculate the highest common divisor of 169 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 19 - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66260.9 * 3.02\nAnswer: -200107.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-189)\/18*(-8 + 0). Let i be (1 + 0)\/(14\/d). Which is smaller: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.4881+4515600\nAnswer: 4515597.5119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 852\/14 + 6\/42. Suppose 4*r - 77 = 4*k + r, 3*k + y = -r. Which is bigger: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q. Suppose -4*f - 11 - 5 = 0. Let r = f - -5. Let j(v) = v**4 + 4*v**3 + v**2 - 6*v. Let s(h) = r*j(h) + 6*x(h). Solve s(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/5 + 10654*t**4\/5 + 656166*t**3\/5 + 1265482*t**2 - 25264820*t - 26401200 = 0.\nAnswer: -35, -1, 10, 5388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 9 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 40 = -5*j - 0*j, 3*z + 27 = 4*j. Suppose j*i - b + 36 = 2, 4*i - 3*b + 52 = 0. Let h = -6 - i. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(1\/(-1)) - 264\/44. Solve -h*u - 3 = 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13802977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*q**2 - 24*q + 116*q**2 + 111*q**2.\nAnswer: 507*q**2 - 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 8*g**2 + 2*g - 9. Let c(f) = f**2 - 8*f - 25. Let s be c(11). Calculate the smallest common multiple of h(s) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11)\/2*(-42)\/(-147) and -103\/170.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a**2 + 2*a - 4. Let y be p(5). Let g be 9 + -9 - 60 - (-2 - -1). Let j = y - g. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 + -0.1. Let k = -7263.1 - -7263. What is the second smallest value in k, -1\/3, n, 5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -129369 and -11.79119.\nAnswer: -129380.79119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let u(f) = -5*f - 6. Let q(b) = -6*m(b) - u(b). Let n be q(8). List the prime factors of n\/7 + 46\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1062)\/(-24))\/((6\/32)\/1). Let m = k - 137. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2443414560 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -25846.\nAnswer: -77538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 660.4510779237?\nAnswer: -660.3710779237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 28 = -2*p, -3*c + 3*p + 30 = 0. Let x = c - 8. Suppose x*t**2 - 4\/7*t**4 + 2\/7*t**3 + 2\/7*t**5 + 0 + 0*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*q*u**2*y + 12*q*u**2 - 5*q*u*y + 19*u**2 + 190*u*y wrt q?\nAnswer: -21*u**2*y + 12*u**2 - 5*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 22. Let b = -0.26 - -0.46. Is b equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 9, -9\/47, 1\/3, -4 in decreasing order.\nAnswer: 9, 1\/3, 0.1, -9\/47, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1109 - -1117. Let o = 0.1 - 0.3. Is o bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 - 6764\/20319. Let t = 372569\/121914 - m. Find the common denominator of t and 23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -556, -417, -280, -145?\n\"Answer: -s**2 + 142*s - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 562178*q**2\/5 + 2248688*q\/5 + 449736.\nAnswer: 2*(q + 2)**2*(q + 281085)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -30*h**2 - 6*h. Let o(w) = 3*w. Calculate x(o(q)).\nAnswer: -270*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -611*j - 5*b - 4893, 5*j + 4*b = -9*j + 9*j - 28 - 16 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54949\/224656 - 133\/1478. Calculate the common denominator of -15\/608 and x.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 3. Let c(u) = 424 + 13*u - 14*u - 424. Give -12*c(m) - w(m).\nAnswer: 6*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75622198 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-70))\/((-19)\/570)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*u - 44, -2*u - 1 = -4*w - 23. Suppose u*i - 21 = 8*i. Solve -4*g - 2*f = -i + 33, g - 2*f - 6 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 5\/2 (c) 2\/9 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*k = 43*k - 209*k - 16390 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-12)\/(-4))*45\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/65 and 29\/143.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1160 and -77\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 661601088 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 540*o - 81. Let s(y) = -27*y + 4. Calculate -4*d(x) - 81*s(x).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1188)\/(-880) - ((-10)\/8 - -2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 - 10357059*c - 7*c**2 + 10357059*c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.1637 minutes to microseconds.\nAnswer: 4089822000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144933 and -2.\nAnswer: 289866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + ((-3*sqrt(11))**2 - sqrt(11)))*-3 - (sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100) + 1)) - (sqrt(1100) - (-2 + 1 + sqrt(1100))))**2.\nAnswer: -1400 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 23*z**2 - 3*z. Let q(a) = 152 + 178 - 95*a**2 - 508 + 178. What is t(q(y))?\nAnswer: 207575*y**4 + 285*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6962937 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 959857.5 months?\nAnswer: 79.988125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*m - 11 - 9, 0 = 5*w - 3*m - 22. Suppose 3048 = -o + 13*o. Suppose 236 = w*c - o. Is c a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 12. Suppose 4*t = -t - k. Which is bigger: 2\/81 or t?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298710*z + 298711*z + a = 8, a - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 932 divided by -1\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 2\/(-2) + (2 - -1 - -28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005386840208 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13150*j + 67090. Determine m(5).\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 48. Calculate the remainder when (117\/(-18))\/(((-24)\/84)\/((-36)\/(-21))) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 29*k + 103. Is c(-51) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27180443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 950605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 36. Let f = 3 + -11. Is 7 a factor of (g\/f)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 864515 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -721*n**4 - 1006*n**4 - 44*n**4 + (0 + 3*n + 0)*(5*n**3 - 4*n**3 + n**3).\nAnswer: -1765*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 616*n - 1 - 1237*n + 620*n. Let s = -3 - 0. Let i be (5*(s + 2))\/(-1). Calculate b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.5 (b) 3\/77 (c) 5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/28 - 66\/(-14). Suppose 0 = n + s*n - 24. Suppose -n*b = 151 - 619. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -3*c + 3, -2*c + 14 = 4*m. Let x = 181 + 25. Suppose j = -w + 38, -x = -w - 4*w + c*j. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/4 - -5. Suppose b + 8 = -3*b, 2*y - 186 = k*b. What is the remainder when y is divided by (-2 - 492\/(-8) - 1\/(-2))\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:17 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.101 - 4.101. What is the closest to 0.2 in k, 31, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 38 = -5*s, 4*s - 2*t - 52 = t. Is s < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - g - 93 + 76 = 0, -3*g + 14 = r. Which is the nearest to 0.1? (a) -1\/2 (b) r (c) 0.1 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4684 + 84335\/18. Calculate the common denominator of q and -19\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 1\/2 (b) 7 (c) 5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52960 - 111159 = -7956*p - 19918 + 46743 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/4)\/(6 + (-185)\/30). Let t(u) be the first derivative of 6*u + 1 - n*u**2 - u**3. Factor t(l).\nAnswer: -3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/6 - 233*a**2\/6 + 448*a - 1326 = 0.\nAnswer: 6, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.958 and 68346.\nAnswer: 1227357.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -6. Let r be 1554\/35 - (-4)\/h. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = 2*b + 243 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1725938913*o. Let n(u) = u. Determine m(n(w)).\nAnswer: 1725938913*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 59. Solve 2*c = -f*h - 3*c - 1, 0 = -2*h + 5*c - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**5 + 0*d**2 + 0*d**4 + 12*d + 0 + 7\/3*d**3 - 7\/30*d**6. What is the second derivative of x(l) wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 34\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuc when three letters picked without replacement from uucrujuuucju?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let x = -5673 - -5671. Sort 3, f, x.\nAnswer: x, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1528402660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anrnnnnrrrm. Give prob of sequence rma.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbzzbbbzzbzb. Give prob of picking 2 b and 1 z.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -422.9 + 847.5. Round r to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:03 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10645?\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283 + 140 + 123*h + 142 to the form o*h + s and give o.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 391*c + 228377. What is w(-584)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 4*a**2 + 3*a. Let x be w(-4). Let z be (x\/14)\/6 + 561\/7. Find v, given that 18*v - 26*v - 3*v**2 - z*v**4 + 11*v**2 + 60*v**2 - 124*v**3 = 0.\nAnswer: -2, 0, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 29 = -9*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18023023, -18023022, -18023021, -18023020, -18023019, -18023018?\nAnswer: -18023017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -34. What is the smallest value in 0, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*g - 6*g + 10*g + (2 + 2 - 7)*(4*g + 0*g - 3*g))*(-2*g**3 - g**3 - 2*g**3) to the form a + s*g**3 + w*g**2 + r*g + v*g**4 and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 98*u - 297. Let p be f(4). Solve p = 60*s - 79*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = a - 3, 8362*g = -4*a + 8366*g + 32 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29088*-10.7\nAnswer: 311241.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 6. Let g(x) = 10*x + 28. Let y(v) = -14*a(v) + 3*g(v). Let b(l) = -6*l. Give b(y(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 8) to base 7.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -j + 3*h, -9 = 5*j - 4*h + 20 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 37*z + 36 = 33*z, 5*z = n - 29 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131392*x**3 + 43796*x**3 + 25*x**2 + 43799*x**3 - 5*x + 43795*x**3.\nAnswer: -2*x**3 + 25*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7076\/812 - 1\/7*-2. Solve v = 5*f - 8*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.225979 seconds in days?\nAnswer: 0.0020049303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13061 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 82 - 24 + 302*y + 212.\nAnswer: 302*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**7\/63 + 23*o**6\/45 + 31*o**5\/5 + 287*o**4\/9 + 245*o**3\/9 - 343*o**2 - 1563*o. Solve t(x) = 0 for x.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 239888744 a multiple of 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 7*q**6\/120 - 37*q**4\/24 - 8*q**3\/3 - 4*q. Let c(u) be the second derivative of t(u). Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10221200222121?\nAnswer: 10221200222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2126 + 2137. Suppose c - 3*c = 2*m, 0 = -2*c - 8. Solve -5*s + m = -j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 0. Which is the closest to 0? (a) -1 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6244.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**5\/20 - q**3\/6 + 2*q - 3. Let l(o) be the first derivative of a(o). What is the second derivative of l(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*u**2 - 22 - 31*u**2 - 4 - 94*u**5 wrt u?\nAnswer: -5640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 21 = 2*a - 3, -5*y - 4*a = 42. Let n be 12\/y + 2*2. Let d(b) = 3*b. Determine d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/12 + f**3 - 3*f**2\/2 - 2*f. Is n(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l + 2. Let r(d) = 7*d + 1. Let y(u) = 6*n(u) - 13*r(u). Suppose 3 = 4*g - 21. Let c(o) = -2*o + 11. Let t be c(g). Calculate y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2*h**3 - h**2 + 7*h + 6. Let n be f(6). Let x = -144 - n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(21) + sqrt(1029)*1)\/(sqrt(343) - (-4*(sqrt(343)*-4 - sqrt(343)) - sqrt(343)) - sqrt(343)))**2.\nAnswer: 3\/17689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -642.7 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542947583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25326 - -640.\nAnswer: 25966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*y + 795, -5*y = z - 331 - 494. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -48, 4, -141 in descending order.\nAnswer: 4, 3, -4, -48, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(768) + 5)**2 - ((-3*sqrt(50) - sqrt(50)) + 3).\nAnswer: 705\/32 + 85*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -125225 divided by -122\nAnswer: 125225\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2 and 131\/4596?\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**2 + z. Let l(m) = -2*m**2 + 2*m - 1. Let i be l(1). Let w be h(i). Suppose 2*s + 72 = w*s. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(688*h**2 + 656*h**2 + 928*h**2)*(-h**2 - h**2 + 4*h**2) to the form k*h**2 + q + x*h + p*h**3 + a*h**4 and give a.\nAnswer: -9088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 3*n**3 - n**3 + n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 7. Let x(i) = -3*i**2 + i - 8. Let d(q) = 4*f(q) + 3*x(q). Let z be d(5). Is (-1626)\/(-8) - z\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0175 - 4191.\nAnswer: -4190.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 3. Let t be h(2). Let y be 5*((-324)\/t + -4). Calculate the highest common divisor of y and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -8. Let v = 5 + a. What is the second biggest value in v, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 45*y**2 - 189*y + 147.\nAnswer: -3*(y - 7)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644 divided by 5.\nAnswer: -644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3480, -6976, -10472, -13968?\nAnswer: -17464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 - (-150)\/(-18). Let d(t) = -7*t - 11. List the prime factors of d(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3.47954, 31, 1\/4 in descending order.\nAnswer: 31, 3.47954, 1\/4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(2\/125))**(-8\/11) assuming i is positive.\nAnswer: i**(-8\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + d. Is d < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 + 522*h**4 + 33354*h**3 + 928560*h**2 + 9704475*h + 8808750 = 0. What is h?\nAnswer: -58, -45, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-8) - ((-3)\/(-4) - 1). Which is greater: -16\/9 or z?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2127, 2123, 2119, 2115, 2111?\n\"Answer: -4*x + 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:59 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 18 = -5*k, -2*v + 3*k - 3 - 8 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 664.62373 + -664.7. Let r = 43 - 43.077. Let x = r - h. What is x rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (80\/(-60))\/(2\/(-159)). Sort 1, -5, f, 4.\nAnswer: -5, 1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -1130, -2433, -4286, -6689, -9642, -13145?\nAnswer: -17198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 + 45 = 0. Suppose -2*f - 1 = 15. Let g = f - -11. Calculate the remainder when a is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3078 - 1764 = -4*v, -4*v = 2*g - 1932. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 388.4 + -395. What is b rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g - 3*g)*(-2 + 6 - 1)*(-4 + 2 + 1)*(-2 + 2*g + 2).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 - 229171*d**5 - 1219990*d**2?\nAnswer: -120*d**3 - 13750260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 179, 5, -2, 12, 6 in descending order.\nAnswer: 179, 12, 6, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.5. Let x = -19.6 + 20. What is the closest to x in 2\/5, o, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-26)\/g))\/g)\/(g**(-7)\/g) assuming g is positive.\nAnswer: g**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(68) - (-1 + sqrt(68) + sqrt(68)*1 + sqrt(68)))*4)**2 - (sqrt(68) + sqrt(68) + 3 + 1*sqrt(68) + 1*sqrt(68)*-6)**2)*6.\nAnswer: -1104*sqrt(17) + 44964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -7. Let w = 12 - t. List the prime factors of ((-8)\/(-5))\/(1\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*p - 20 = -34, 26 = -3*f - p for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -23862*t - 214747. Calculate g(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/92 - 5\/(-2). Put 6, -5, g, -0.1 in descending order.\nAnswer: 6, g, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*y - 77984, -48671 = 5*k - 5*y + 48809. Let u = -11325 - k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16807*g - 180. Let a(s) = 319333*s + 3360. Give 3*a(v) + 56*x(v).\nAnswer: 16807*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1)*(-12)\/(-18). Suppose -p*w - 22 = -3*w. Suppose -3*q + 3*s + 5 + 7 = 0, -s = -1. Calculate the remainder when w is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(65)\/sqrt(5))*-2)**2.\nAnswer: -40*sqrt(13) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**10\/q*q)**18 assuming q is positive.\nAnswer: q**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1910, -1908, -1906, -1904?\n\"Answer: 2*t - 1912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 246015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/78*-3*5. Let u be 2\/4 - (-685)\/f. Suppose -6*h + 3*h = -u. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 + -4 - (2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388075 and 27950?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)\/((m\/(m**(-7\/5)\/m))\/m) assuming m is positive.\nAnswer: m**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l**2. Let c(p) = -15*p. Calculate c(n(t)).\nAnswer: 210*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -2, -1, 0?\n\"Answer: g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 20429 and 265584\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63325 and 1700.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 3688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3335 + -3334.8. Let p = -4.75 - 0.05. Let r = -0.8 - p. What is the second smallest value in d, -3, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -153. Suppose -5*q = -2*q. Put -12, q, a in descending order.\nAnswer: q, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51\/11 or -6?\nAnswer: -51\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let j = t - 1.5. Let k = -217\/345 + 2\/69. What is the biggest value in 1, j, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 0 + 0)*(-154*f - 41*f + 73*f + (2*f - f + f)*(1 + 1 - 3))*(2 + 0 + 1).\nAnswer: -744*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3753)\/(-36))\/((-6)\/(-16)). Let b = 366 - l. Suppose 4*a + 4 - 92 = 0. What is the highest common divisor of b and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2183 or 2319?\nAnswer: 2183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 117600 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2827.\nAnswer: 848.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60702825 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*h - 82*h + 3640. Let v be (-3 - 1)\/(2\/(-7)). What is the greatest common divisor of v and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74010515?\nAnswer: 5, 97, 152599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3 + 24191874*h**2 - 77583075*h.\nAnswer: 6*h + 48383748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.5, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 98783185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 24, -5*x + r + 0*r - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3 - 5 + 2 - g. Let n(r) = r**2 + 14*r + 3. Let j be n(-14). What is o(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.1 + -7.2. Let w = -3 + q. What is the nearest to 1 in w, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfzffqx. What is prob of picking 1 z and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 7*x + 3. Let n be s(-7). Solve 5*o + 18 = 2*h, n*o + 12 = h + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 (base 5) in base 3?\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2141875*z**3 + 15*z**2 - 2974256*z + 50 wrt z?\nAnswer: -12851250*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 8*k**2 - 9*k + 3. Let d be w(9). Suppose d*z = 7*z + 8. Is 2 + z*34\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 118*w - 178*w + 171. What is the least common multiple of (-3)\/4 + (-117)\/(-12) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1471*m**3 + 429*m**2 wrt m?\nAnswer: -8826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 62*s**2 - 2*s + 1. Let t(x) = 0*x**2 + 2*x**2 + 9*x + 3 - 4*x. Let h be t(-2). What is the tens digit of d(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155.37 - 156. Let q = f + 1.63. Let i = 0.2 + 0.8. What is the nearest to q in i, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (5 - 4)) + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44842?\nAnswer: 2, 7, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 11252.6 to the nearest 100.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-147)*1*(-1)\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + -1.9. Let x = -1 - -1. Let a = q - x. What is the smallest value in a, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 1. Determine u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(4\/(-8)*2). Suppose 3*t = -p + 67, r*t + 2 = -5*p + 49. Calculate the highest common factor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128\/35 - 27\/7. What is the nearest to -2 in -5, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6 - (-59)\/59)*-18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p + 1. Let v be u(-1). Let d = 0 - v. Suppose 17 + d = z. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 6 - 2 + 16*g + 25*g + 15 - 9*g**2 to z*g**2 + w + s*g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 2) + 0 + -4 + 3. Suppose 0 = -2*v, 4*f = r*v - 214136 - 213064. What is f rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/57 and (-54)\/513 - (1 - (-3051)\/(-285)).\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.50000201 + -0.5. Round g to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u - 4*q = 10, -3*q = 5*u - 36. Let b = -6724 - -6734. Solve -11*v = -u*v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 12 = 4*s, 0 = 4*h + 5*s - 12 + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60.1 and 5.23?\nAnswer: 314.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 32*f**2. Let p be c(1). Find the third derivative of -18*v**6 - 36*v**6 - p*v**6 + 15*v**2 - 4*v**6 wrt v.\nAnswer: -10800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1015006605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by -4.\nAnswer: 113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279218528.\nAnswer: 2, 3, 7, 257, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -5*i. Let s be ((-2)\/1*-1)\/i - -21. Solve 4*l - s = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 7 - -4) + 4. Suppose -b - 4*b + 3*f - 9 = 0, -5*b + 9 = 3*f. Solve b = -x + t*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 4*d + 8*d**2 - 8 - 4*d. Does 18 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + -28)*(-11)\/2. Suppose -d = 38 + a. Let v = 54 - d. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4030 + -214001?\nAnswer: -223031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, -30.\nAnswer: -30, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, 3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/24*-2 - 2408\/12. Let t = 206 + r. Solve -t*q = -7*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjryyrjryjjrjy. Give prob of sequence jj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/6)\/((-5412)\/2460)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202 (base 3) in base 16?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/34251481 and 3\/110383.\nAnswer: 3116884771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -162. Suppose k*g + 130 = 20*g. Solve g*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -28 + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 0. Let q = -6 + s. What is the third smallest value in -0.4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3744815 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 2. Let y be z(-3). Suppose 5*n = 2*n - 6. Let s = y + n. Solve 0 = -3*t - 2*g - 10, g - s = 2*t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/120 - 7*g**5\/60 - 7*g**4\/24 - 3*g**3\/2 + 616*g**2. Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-45.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59791931.\nAnswer: 59791931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**6*u*u)\/u**(-3\/5))**(1\/37)*((u\/(u**1\/u))**(2\/35))**(1\/7) assuming u is positive.\nAnswer: u**(-514\/9065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, -4\/5, -3, -0.012.\nAnswer: -3, -4\/5, -1\/3, -0.012, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-46)\/345)\/(1\/(-5)). Suppose 0*s + 0*s**2 + z*s**3 + 0 - 8\/3*s**4 = 0. Calculate s.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 3. Let t(d) = -5*d. Let h(s) = s. Let g(v) = -9*h(v) - 2*t(v). Let p(u) = -2*g(u) - l(u). Let b(f) = 7*f + 14. Let n be b(-2). Calculate p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (1 + -15)) + -5 + (-50 - (-33 - -17)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -181722.2766 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17841 + -61?\nAnswer: -17902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6 and 145\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**2 - 79*v - 22 = 0.\nAnswer: -11, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let u = 19.3 - 19. What is the closest to y in 4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0563? (a) -5 (b) -2\/3 (c) 0 (d) 1 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:13 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 17. What is the second derivative of 12*b - 19*b**5 - 29*b**5 + k*b**5 wrt b?\nAnswer: -380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -7*k**4\/12 - k**3\/6 + 54*k. Let a(n) = 0. Calculate n.\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let s(a) = -5773367*a**2 + 3*a. What is j(s(o))?\nAnswer: -5773367*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*(10 - -4 - 27)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(21\/(-72)) - -3. What is the units digit of 1597\/4 + -2 - q\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4139155\/408712 + 3\/8696. Let j = 12935\/1551 - q. What is the common denominator of j and 4\/126*12 + 2?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 - 5 = 5*h, 5*h + 3*p = 12. Suppose -5*z + 4 + 22 = -3*w, -5*w - 10 = h. Let u be 20\/6 - z\/(-6). Solve d - u*d + 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11*u**2 + 2*u - 1. Let r be n(-2). Let m be 281 - (6 - (9 + -11)). What is the highest common divisor of r and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3724 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 515*o**2 - 260*o**2 - 256*o**2 + 5 - 162*o.\nAnswer: -o**2 - 162*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14180617 = -12*h + 11*h - 65759383. What is h rounded to the nearest 1000000?\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -15) + (-1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -72*p + 1. Give d(1).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:12 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3615239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 169118?\nAnswer: -169120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 194850*l. Let m(n) = 70*n**2. Determine g(m(s)).\nAnswer: -9800*s**4 + 13639500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -9 + (0 - -1 - (-18 - (-56 + 28))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -8895 times -0.13\nAnswer: 1156.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-20)\/(-5)) + -160. What is h rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 28. Suppose 4*x - 3*c = 2*c + 966, 5*x - c - 1197 = 0. Suppose -4*f = -x - 5. What is the remainder when f is divided by r(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3878810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2201*y - 15115. Determine h(-7).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1645 + 142.0355. Let g = -158 + l. Let b = 12.8 + g. Which is smaller: b or -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -2\/9*z**2 - 2\/9*z**3 + 31 + 0*z - 1\/18*z**4. Factor f(p).\nAnswer: -2*p*(p + 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**5 - 2*l**5 - 5*l**5)*(-4 - 3 + 5)*(-53 + 105 + 43).\nAnswer: 380*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8)**(1\/70) assuming t is positive.\nAnswer: t**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/3)\/h)\/(h**23*h) assuming h is positive.\nAnswer: h**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 31105 and 31088 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 7. Calculate the common denominator of -13\/18 and 16\/(-14) + i\/(105\/(-20)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2942 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 - 4*j**2 - 6*j - 17. Let y(h) = -4*h**3 + 3*h**2 + 5*h + 16. Calculate -5*i(b) - 6*y(b).\nAnswer: -b**3 + 2*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.74355 to two decimal places.\nAnswer: -4.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24331145 (base 6) in base 8?\nAnswer: -2747551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-6\/7)*l\/(l**12\/l*l) assuming l is positive.\nAnswer: l**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120.92 + 121.42. Let n = 9.97 - -0.03. Let b = 3 - 3. Put 0.1, v, b, n in ascending order.\nAnswer: b, 0.1, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 b, and 2 n when four letters picked without replacement from nnkbbnzzuuffbn.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -80, -118, -144, -152, -136, -90, -8?\n\"Answer: q**3 - 45*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/120 - w**5\/15 + w**4\/24 - 5*w**3\/3 + 13*w**2. Let t be j(-5). What is the greatest common factor of t and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 12:36 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/16027 or -1?\nAnswer: -4\/16027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 24 - v**2 - 11*v - 3*v. Let h be m(-10). Let d be -1 + (-2)\/h + (-117)\/(-130). Which is the nearest to d? (a) 0.3 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 887460 and 6339.\nAnswer: 887460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 113*o**5 + 4*o**4 + 4*o**2 - 2*o - 2433. Let y(d) = -2*d**4 - 2*d**2 - 1. Let q(b) = l(b) + 2*y(b). Find the second derivative of q(i) wrt i.\nAnswer: 2260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350.384 years in decades?\nAnswer: 435.0384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4*30\/72)\/(7\/(-604338)). What is q rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 610*p*u*x**2 + 37*p*u - 190*p*x**2 + 82*u*x**2 - 3*u*x + 2*u - 12*x**2 + x - 11 wrt p.\nAnswer: 610*u*x**2 + 37*u - 190*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/((-2)\/1). Is x bigger than -3\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14331\/4 - -3560. Let m be 3\/4 - ((-191975)\/(-36620))\/7. Let l = m + 89697\/20141. Find the common denominator of l and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*h + 12, -h - 12 = 3*h - 5*y. Let o be -1 + 2 - (-1)\/(-1). Let n = o - h. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) + 2\/8. Suppose 0 = -c - q + 2. Is 18 a factor of (1*-3)\/(c\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let f(m) = 2*m**2 + 2. Determine f(c(s)).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/9? (a) 1\/6 (b) -2 (c) 3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12528622.\nAnswer: 2, 6264311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 486*d**2 - 26163*d - 467856.\nAnswer: -3*(d + 48)*(d + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-10) - (-6)\/(-2). Which is the closest to 0? (a) -2\/3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/15*(-185)\/333. Sort l, 0.09, 2 in ascending order.\nAnswer: 0.09, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -135, -306, -545, -852, -1227, -1670?\n\"Answer: -34*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 8 = 4*a + 4*t, 0 = a - 3*t - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194\/5 - -1396\/45. What is the common denominator of x and 33\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*d + 4*s, 994*d - 2010*d - 3*s = -1015*d + 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 8 = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011 - 10100000111011100001?\nAnswer: -10100000111101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -159820, 2 in increasing order.\nAnswer: -159820, -31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h\/(h*h*h**3*h)))**1\/((h\/(h*h**(1\/2)))\/((h\/h**10*h)\/h))**(-6) assuming h is positive.\nAnswer: h**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-11)\/(-4)) + (-159)\/636. Let x = -0.12 + 0.22. What is the second smallest value in x, 3\/4, g, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7806 - 4445. Suppose 10*p - x = -291. Round p to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/272)\/((-2)\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Let n be 45 + (0 - 1) + b. Suppose -4*d = -4*t - d + n, -3*t = d - 46. Calculate the highest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 53*m**2 + 396*m - 4462. What is the thousands digit of t(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 12. Let n be x(4). Suppose 0 = -n*p + 2728 + 1832. Round p to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19319 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -1 + (3 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -1. Let c be 15\/(d\/(-45) - 0). Suppose 9*q = 4*q + c. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21447185 rounded to the nearest one hundred thousand?\nAnswer: 21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*w**5 + 14*w**4 - 241*w**2?\nAnswer: -540*w**2 + 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*n - 188 + 4382 + 7927. What is the remainder when n is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -1\/3 (c) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -30*h + 2. Let r be s(0). Find the third derivative of -34*g**3 + 109*g**3 - 12*g**r + 86*g**2 wrt g.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 3, v: 4, n: 9}. Give prob of picking 1 v, 1 s, and 1 n.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3894147 is divided by 11290?\nAnswer: 10387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 40 = 0. Let m be (-22)\/n + (-2)\/(-3). Let z = m + 2\/15. Which is the nearest to z? (a) 0.1 (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4017*x + 36155. Give t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 4\/7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 11*k + 10. Let b be q(-10). Suppose -z = a + 2 - 7, -2*a + 3*z - 5 = 0. Suppose -9*s = 4 - 13. Sort s, a, b, 5 in ascending order.\nAnswer: b, s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 115*b + 4350.\nAnswer: -(b - 145)*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3812386501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 5. Let k(t) = -12*t - 14. Give -3*k(p) + 10*n(p).\nAnswer: -4*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45434034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let o = 6 + t. Suppose -7 = -4*n + v, -7*n + 3*n = -2*v - 2. Calculate the remainder when o is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 15 - 10 + 16*v + (1 - 2 - 1)*(-v - 2*v + v) + 3*v - 5*v + v)*(-2 + 3 - 5).\nAnswer: -76*v + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(51)\/(-4*sqrt(27) + sqrt(3)).\nAnswer: 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b412 - 4?\nAnswer: b40c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -80, -124, -168?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20144 divided by -2\nAnswer: 10072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, a: 3}. Give prob of picking 3 h and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -3*u**7\/28 + 721*u**6\/300 - 349*u**5\/100 + u**4 - 265*u - 4. Find h, given that i(h) = 0.\nAnswer: 0, 2\/9, 4\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8061.\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 3, n: 9, c: 2, i: 1}. What is prob of picking 1 n and 1 k?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 - 9*s + 20. Calculate p(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 22. What is o(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/80 and -7\/1148824.\nAnswer: 11488240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3 + 1034340*q**2 + 53492961780*q = 0.\nAnswer: -103434, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*t - 1274*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-102)\/(-2)*((-8)\/2 - -5). Suppose 3*c - 216 = -2*b, x*b - 55*b - 12 = 0. What is the remainder when c is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2367\/(-450)*-6 - 31)\/((-58)\/(-60) + -1)?\nAnswer: -84\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than 1.15?\nAnswer: 28.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = -9. Suppose 12 = h - 4*k, 4*k + 2 = -2. Calculate the remainder when h is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arfrtafmtrakara. What is prob of sequence ar?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 9 = 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -58. What is the closest to -2\/5 in 2\/11, 3, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 2*f**4 - 6*f**3 + 12*f**2 + 3*f**2 - 16*f**2 + 4 + 3*f**3 to p*f + v + d*f**2 + q*f**4 + c*f**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139215?\nAnswer: 3, 5, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714 + 2281 - 1567 + 236*y**2.\nAnswer: 236*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 219*b - 4797. Give q(-24).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/((-2)\/5). Suppose x*n - 6 + 60 = 0. Let l = n - -23. What is the lowest common multiple of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1152842346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 4. Suppose -2*w = 2*w - 4*t + 8, -5*t = 3*w - 10. Let y be 2 - (2 + -3 - w). Calculate p(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -50*a**3 + 4*a**2 + 7*a - 21. What is the units digit of b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1394, -5511, -12372, -21977, -34326, -49419, -67256?\nAnswer: -87837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 - -172. Find the second derivative of x*s**5 + 6*s - 84*s**5 - 4*s + 15*s**5 wrt s.\nAnswer: -1220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 11708 (b) 4\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 243 = 2762. List the prime factors of k.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqgg. Give prob of picking 1 l and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 12 + 42. Let n be (8\/(-10))\/(i - 96\/10). Put n, 5, 51 in increasing order.\nAnswer: n, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100994 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -41306, 3, 2, -11, 12 in increasing order.\nAnswer: -41306, -11, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 117 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -462547 times 0.9\nAnswer: -416292.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/209 (b) 0.1 (c) 2\/11 (d) 0.0255 (e) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -7*a**6\/24 + 7*a**3\/2 + a**2. What is the first derivative of o(f) wrt f?\nAnswer: -105*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9565?\nAnswer: 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/2 + (-2)\/4. Let h = a - -22. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 0, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024841145 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + -4.46. Let m = 5 + f. What is the smallest value in -1, 3, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 + 8*k**2 + 105. Let p(n) = 2*n**3 - 3*n**2 - 35. Give 3*l(q) + 8*p(q).\nAnswer: q**3 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 2\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*x + 32, -786*w + 5*x + 31 = -782*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3954732468?\nAnswer: 2, 3, 47, 7011937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-25)\/(-130)*48\/(-90)*(-24)\/(-32)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 5*g + 2. Let l(r) be the first derivative of r**3\/3 - r**2\/2 - r + 2. Let w be ((-2)\/3)\/((-1)\/(-3)). Let b(f) = w*l(f) - t(f). Factor b(x).\nAnswer: x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3198 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*22\/(1 - 0). Suppose 2*u - 24 = 5*d - u, 0 = -2*d - 5*u - a. Let w = 2\/903395 - 180681\/903395. What is the closest to -0.1 in d, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by -1?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -12\/5, 2\/3, -2\/9, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - r + 852 = 0, -4*w + 4*r = 124 - 3548. List the prime factors of w.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - 3*q**2 + 3*q - 3. Give o(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -363, -689, -1079, -1527?\nAnswer: -2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 268*p - 171*p - 873. Let v = -25 + 58. Calculate the remainder when v is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - c - 4*c. Let a(i) be the third derivative of i**4\/24 + i**2. What is a(f(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(4*3\/72). Let u = 1 - 6. Let x = a + u. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 - r - 19. Is 4 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235019 and 7086.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62004017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3684 - 270*n + 2*n**2 - 7*n**2 + 39 = 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16706*b**2*c**3*o**2 + 59297*b**2*c**2*o**2 + 4*b**2*c*o**2 + 14*b*c**3*o**2 + 2*o**2 wrt c?\nAnswer: -100236*b**2*o**2 + 84*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) - 15\/(-10). Suppose -3*m = 4*r - 12 - 11, -5*m + 25 = 0. Let o(g) = -2 + 2*g - 2*g**2 - g**2 - g**c + 3*g**r. Determine o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -21156.\nAnswer: -5\/3526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**2 + 0*w**2)*(-3 - 1 + 1)*(w + 3 + 0 - 2).\nAnswer: -3*w**5 - 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -870 and 0.2.\nAnswer: -869.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -0.02 (c) 75 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*j - 4*t - t, 0 = -3*j + 4*t + 7. Which is bigger: 8\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -32. Is ((-822)\/(-18) + 4)\/(z\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 + 4*y - 1. Suppose n = 5*z - 4, -4 = -2*n + 3*n. Suppose -5*l = -5*t + 25, z*t + t + 7 = -l. Calculate c(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 1543, 2318, 3095, 3874, 4655?\nAnswer: 5438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, s: 1, n: 1, m: 1, y: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 4*x - 2*x)*(1 + 4 - 3) + x + 2*x - 5*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 170697941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36314260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 16. Let n = a - 16. Suppose 2*i - n = -3. Put 5, 3, i in increasing order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 43911.\nAnswer: 439110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1705 divided by -18130.\nAnswer: 341\/3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 - v. Let h(j) be the third derivative of -3*j**4\/2 - 30*j**2 + 1. Calculate h(q(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(-289 - 412*d + 396*d + 26) as q*d + p and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 20. Let s(f) = 1. Suppose -8 = -3*d - 14, 3*u - 4 = 5*d. Give u*c(w) + 40*s(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 21*d - 10. Let h be p(-2). Let o(r) = -6*r + 39. Calculate o(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 2:37 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 3, k: 1, r: 2, v: 3, i: 2}. Give prob of picking 1 v, 1 k, and 1 x.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 12*y + 11. Let r be i(6). Let b = 36 - r. Let h = 16 + -26. Which is bigger: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*(j + 3*j + 5*j)*(184 - 184 + 50*j) as a*j + n*j**2 + i and give n.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:45 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 12*h**2 - 3*h + 3513. Let l(z) = z**3 - 7*z**2 - z + 1756. Let c(r) = 3*i(r) - 5*l(r). Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (19 + 1)\/(16\/(-16)). Let x be (-99)\/77*(-168)\/u. Let 3*y**3 - x*y - 3\/2*y**4 + 9\/2*y**2 + 6 = 0. Calculate y.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 761619 by 85.\nAnswer: 761619\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(-6*(-12)\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose 0 = b - 10 + 7. Suppose b - 13 = 5*g. Put x, g, 0 in increasing order.\nAnswer: g, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/251301374 or -1?\nAnswer: 1\/251301374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3 - 3)*(617*f - 2535*f + 233*f)*(3*f + 0*f - 5*f).\nAnswer: -6740*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(7\/196*-4) + -5. Find l, given that -1 - 3\/2*l - 1\/2*l**p = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 72*s**2 - 77*s - 423. What is x(-71)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 123 = 22*u. Is 8182\/u*39\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6006230, -6006224, -6006216, -6006206, -6006194, -6006180?\nAnswer: -6006164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1949814 times 11\nAnswer: -21447954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 109324 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 148 - 132. Solve 4*j - u - 1\/2*j**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/11, -0.4, -1, -0.41, 20.\nAnswer: -14, -1, -0.41, -0.4, 2\/11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (5 + -1 + 8 + -18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkikbmcb. Give prob of sequence bkm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/27 + (-2)\/((-12)\/2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245*34\/4998)\/(40\/2328)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3044*w = -3046*w + 17, -t = -w - w + 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 1692460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1539) - sqrt(1539) - (3*sqrt(38)\/sqrt(2) + sqrt(19))) + -3)**2 + 1 + 2.\nAnswer: 132*sqrt(19) + 9208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-71)\/(-3) + (-5)\/(-15). Let j = -8 + v. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*r - 1 + 17, -4*r - 3*q + 4 = 0. List the prime factors of -1 + (2\/3)\/(r\/(-309)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 131.5831 years?\nAnswer: 1.315831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/21 and 62\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + n. Determine q(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -15.3 (b) 527 (c) 1\/3 (d) -0.02 (e) -1\/4 (f) -0.1 (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(1\/2). Suppose -w*t - 15 = -8*t. Calculate the remainder when 3 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 1. Suppose -5*k + 29 = 9. Let w be d(k). Solve -w*c + 2*m = -3, c + 0 = -2*m - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195 - -187) + 1 + -2 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*w - 42*w - 504. Let j(o) = -4*o - 67. Calculate the remainder when j(w) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/12 + 7*v**3\/6 - 6*v**2. Find the first derivative of j(y) wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/15 - d**5\/6 + 9*d**2. What is the third derivative of p(t) wrt t?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-1 - 3\/(-1)). Let l be 4 - (2 - -4)\/b. Suppose -5*a = 2*g - 1, 3*a + l*a - 10 = -5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 3*p**2\/2 - 73. Suppose -4*y = -4*f + 20, -4*f - y + 2 = -8. Let d(z) = 2*z - 3*z - f*z - z. Give a(d(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let q = 6 + -3. Let r(i) = 4 - 4 + 2*i + q*i. Calculate r(c(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose -8*c + n*c + 316016 = 0. Suppose -3*s - s + 5*d = -315980, -s + c = d. What is s rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18529 - 15648. Calculate the remainder when h is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 356.056nm?\nAnswer: 0.0000356056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3 + 129646178*q - 352872539 with respect to q.\nAnswer: 3*q**2 + 129646178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 9*x = 15*o - 0*x - 123, 2*o - 5*x - 59 = 0 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 10. Let t be w(8). Let k = 36 - t. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 0.15. Let b = 0.5 - 0.8. Let l = 4.4 - 4. What is the smallest value in a, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1566*s**2 + 1575*s**2 - 3143*s**2 + 4*s + 10*s - 15. Give p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + 6*f**2 - 4*f**2 + 4*f**2 + 2*f**2 + 2*f**2 + (-f - 2*f + f)*(2*f - 2*f - 2*f) + (3 - 2 + 0)*(0*f**2 + 3*f + 2*f**2 + f**2).\nAnswer: 22*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 39\/33)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*n**2 + 3)*(3 - n - 3)*(2*n + n + 0*n) - 2*n**4 + 5*n**2 - 5*n**2.\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from vvvvvvgvvgvvvvvggvvv.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + t**2)*(2*t**2 - t + t + (-3*t + 0*t + t)*(-4*t - 18 + 18) - 3*t + 3*t - 2*t**2 - t - 2*t**2 + t + 2*t**2 + 2*t**2 - 3*t**2).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 75*x**3 - 156*x**2 - 3636*x + 15120.\nAnswer: -3*(x - 20)*(x - 6)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.516 + 0.116. Let q = -18 - j. Round q to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 759051.1l?\nAnswer: 759051100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 + -3 + 78. Suppose -3*a = 5*t - 449 + 40, 0 = t - a - k. Let z = -12 + t. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002874 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -3\/2, 2\/701, -2\/9, -1\/2?\nAnswer: 2\/701","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -5086\nAnswer: 1017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-312002)\/13 + 14\/91. What is t rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 14 - (4 + (-13 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 108 + 3 + 27\/9. Solve 0 = -10*d + x - 84 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 14528544*h**2 + 33*h - 14528544*h**2 to the form x*h**3 + n*h**2 + m*h + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0*c**2 + 1\/2*c**7 + 0 + 1\/2*c**4 + 0*c**3 - 219*c - 6\/5*c**6 + 9\/20*c**5. Determine l so that z(l) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 92, 134, 190, 260?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303211 rounded to the nearest ten thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010487471879 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.108. Let h = 523.9591 + -524. Let y = t + h. Round y to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14*1)\/(8\/7)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 + 5*j**3 - 22*j + 8*j**3 - 17*j**3 + 7*j**3.\nAnswer: -5*j**3 - 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19 = 3. What is the remainder when 20 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0619699917 rounded to 4 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - -189. What is the highest common divisor of h and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**5\/20 - 95*w**4\/3 - 4*w**3\/3 - 89*w**2\/2 - 556*w + 2. Find the second derivative of j(s) wrt s.\nAnswer: -6*s - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120193, 240381, 360569, 480757?\nAnswer: 600945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 + 42*t**3\/5 + 144*t**2\/5 - 42*t\/5 - 147\/5.\nAnswer: 3*(t - 1)*(t + 1)*(t + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-55))\/(132\/(-30)). Let z = n + 61\/121. Is -29 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (66\/(-198))\/((-2)\/(-8)). Let l be ((108\/8)\/(-3))\/(-2) - 3. Which is the smallest value? (a) -24\/13 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29834 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 5, 10, 0 in descending order.\nAnswer: 10, 5, 0, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*t = -14, 203*s - 201*s + 4*t = 0. Solve 4*l + 8*y = 9*y - 6, -2*l + y = s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 45.67734\nAnswer: -31.974138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.61 (b) 15 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27576 divided by 6\nAnswer: 4596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.038, 5, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3161*y - 34781. What is p(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -78\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7019 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -7364?\nAnswer: -7364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*i - 8, 2 - 14 = -4*i - 3*q. Solve 2*r - j = 1, -2*r + i*r = -4*j - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p - 132 = 15*p - 10*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6 + 8. Sort 0.5, 0, m in increasing order.\nAnswer: 0, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15 + -13 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/26*-7*(-20)\/(-70))\/((-1)\/(-50))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 2*t + 5*t - t - 2*t + 1 + t - 1 + (-3*t + 4*t - 3*t)*(1 + 3 - 2) + 0*t + 0*t - 2*t - t + 0*t + 2*t)*(4 + 2 - 4 + (-1 + 2 - 2)*(0 - 3 + 1)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.11147us to hours.\nAnswer: 0.000000171142075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 3*q**2 + 3*q**2 - 2*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -35*g**2 + 5*g + 12. Let l be k(-2). What is l rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caa. Give prob of picking 1 c and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2))\/(-1 + 0). Suppose 7 - 15 = -4*t. Suppose -c - p - t*p + 9 = g, 5*p = 10. Solve -c*u + 4 + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82183, 164367, 246551, 328735, 410919, 493103?\n\"Answer: 82184*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*r + 25891 = 729*r - 37081 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*9\/6*-2. Put 5, -32, o in increasing order.\nAnswer: -32, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0)*1\/2. Solve 1 = -s - y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-6)*20925\/21700)\/(3\/(-32)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + 1)*12\/10. Let z be 506\/6 - (-2)\/(-6). Calculate the highest common divisor of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*a**6*y**3 - 33*a**3*y**2 - 2*a**2 - 34*a*y**3 wrt a?\nAnswer: -2640*a**3*y**3 - 198*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = i + 6*j - 3*j, -1 = -j. Let a be ((-8)\/(-20))\/(2\/150). Let y be (1 + (-5)\/10)*6. Solve y*s + 2*s + a = -5*t, -5*t = i*s + 29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(612)*1 + sqrt(612) - sqrt(204)\/((sqrt(240)\/sqrt(5))\/sqrt(4)))**2*-5.\nAnswer: -10305 - 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2122438 + -1?\nAnswer: 2122437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 4290013.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y - 120 + 78 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 39*d. Let q(t) be the second derivative of d - t**3 + 0*t**2 + 1\/6*t**4 + 3*t. Factor q(s).\nAnswer: 2*s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - x = 5*g + 30, 0 = g - 5*x - 6. List the prime factors of -5*(-1 + g\/(-3)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.771 + 0.229. Let t = l + -27. What is the second biggest value in -16, 2\/17, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 10. Let j be t(-8). What is the third derivative of -4*i**2 + 8 - 8 - 2*i**j - i**3 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-123))\/(-6*(-4)\/360)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 4, o: 7}. What is prob of sequence eoe?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596318 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20313 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1872) - (1 + 2*sqrt(1872))) + 2 + 3 + sqrt(13) + -3*(4 + sqrt(13))**2.\nAnswer: -35*sqrt(13) - 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2. Let y(j) = -53794830*j. Calculate y(m(a)).\nAnswer: -268974150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/517, 5, -1, 58\/9?\nAnswer: -6\/517","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35669 and 1007.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*x**4 - 27803*x**3 - 17746738*x?\nAnswer: -1596*x**2 - 166818*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -64*i**2 - 3*i - 4. Let u be l(-2). Is (-1 - u) + -1 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*c + 9 = 3*j, 5*j + c = -3. Suppose j = -k + 3*f + 2590, -4*k - f + 10321 = -0*f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q + 1. Let k(d) = -20*d. What is k(n(g))?\nAnswer: -320*g - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/107?\nAnswer: 6\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + w + 3*w)*(-w - 2 + 2) + w**2 + 5*w**2 + w**2 - 5*w + 5*w - 3*w**2)*(-53*w**2 - 67*w**2 + 31*w**2).\nAnswer: -178*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-16)*(-32)\/(-24)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3556259?\nAnswer: 7, 508037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - -2) + (-2 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + sqrt(95)\/(sqrt(5)*2)).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 = 4*j. Suppose 3*u = j*q + 41, 13 + 7 = -5*q. What is the lowest common multiple of 8 and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572741, -572728, -572715, -572702, -572689?\nAnswer: -572676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 800\/48 - -19. Let c = 1\/66 + -101\/132. Let k = -7.1 + -0.9. Sort k, f, c in increasing order.\nAnswer: k, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 23 + 64 = 6*l. Let a(k) = -2*k**2 + 6*k + 16. What is a(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24))\/(12*(-12)\/23616)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -314 - -329. Solve -5*l - k = -3*u + 5, 3*u + 3*l = 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, 4, -21, 15 in ascending order.\nAnswer: -21, -15, -4, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 553400?\nAnswer: 553376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 2*f - 3*f - 1 + 4*f - 2. Let x(d) = -3*d + 13. Let j(y) = -y**2 - y - 1. Let m(h) = -5*j(h) - x(h). What is 3*m(k) - 8*w(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9 = -15. Let t(h) be the first derivative of -h**4\/4 - 13*h**3\/3 - 10*h**2 - 24*h + 176. List the prime factors of t(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**3*p**3 + 2*c**3 - 6*c**2*p - 4*c**2 - c*p**3 - 2*c - 49*p**2 wrt p.\nAnswer: -42*c**3*p - 6*c*p - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1256*j - 1958*j - 1641*j + 1298*j.\nAnswer: -3557*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 79.5089ms?\nAnswer: 0.0795089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 20?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 681 = -5*w, 4*h + 5 = 1. Suppose -17 = 5*u - w. Suppose -4*f + u = -f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2170.872 + 2171. What is the third biggest value in -7\/6, u, 1\/5?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = -33. Let l(h) = -8*h**2 + 5*h - 11. Let r = 12 - 8. Let s(o) = -3*o**2 + 2*o - 4. Calculate r*l(c) + z*s(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 181, 72, 0, 8 in ascending order.\nAnswer: -3, 0, 8, 72, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200996.\nAnswer: 2, 109, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/840)\/((-6)\/(-140))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1200*i + 1199*i = -55869, 3*i + 11193 = o. What is the greatest common factor of o and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 30 + -23 + -10 + -99 + 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 54. Let j(h) be the third derivative of 1\/30*h**5 - m*h**2 + 0*h + 0 + 0*h**4 + 1\/2*h**3. Differentiate j(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -516. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31761253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*60\/(-200).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 310318?\nAnswer: 6206360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 15*q + 3*q)*(-q**2 - 30 + 67 - 5*q - 32).\nAnswer: -20*q**3 - 100*q**2 + 100*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -107 (b) -9 (c) -2\/13 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163365259.\nAnswer: 61, 2678119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-3)\/12*4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f**(4\/3)*f**(-4\/9)\/(f\/(f**(-6\/11)\/f)*f) assuming f is positive.\nAnswer: f**(-65\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141\/26 or -4?\nAnswer: -141\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185145272 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4862?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852, -4640, -14460, -33180, -63668?\nAnswer: -108792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t - 6 = 0. Let m(u) = -3*u + 1 - u + t*u + 3*u. Calculate the least common multiple of 10 and m(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40752 and 1728?\nAnswer: 489024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*u + p - 12, 2*u + 1 = -p. Let b be (-33)\/(-2) + 1\/u. Solve 3*x = -b + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34033*463.\nAnswer: 157.57279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s = -36*c + 80*s - 422, 5*s - s = -c - 4 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.0365.\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51568? (a) -1 (b) -0.3 (c) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -9.01444, -0.4, -31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:55 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 4*s - 42*s + 882*s**2 - 285*s**2.\nAnswer: 597*s**2 - 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11978 - -11978. Factor p + 0*d**2 - 3\/7*d**5 + 3\/7*d**4 + 6\/7*d**3 + 0*d.\nAnswer: -3*d**3*(d - 2)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 46 = 6. Suppose 3*u + 56 = 14. Let s = h - u. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 + 1 = 3*c, -5*a - 29 = 2*c. Let s = a + 7. Suppose 4*d + 3*d**s - 2*d - 4*d**2 = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 656\/12*3\/(-1). Let z = -265 - v. Let k = z - -182. What is the remainder when k is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3497*d**3*z + 3*d**3 + 2*d**2 - 405*d wrt z?\nAnswer: -3497*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1568 + 1573. Let g = -341\/888 + 1\/111. Which is the second biggest value? (a) g (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 9. Let l = 11 - u. Is l less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5690 + 4?\nAnswer: 5694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*-6*1\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**2 + 10*b + 19. Let c = -6 - -8. Calculate the remainder when l(c) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2723?\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0013*-2.7.\nAnswer: 0.00351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhdhhddddddddd. What is prob of picking 3 d and 1 h?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**3 + k**2 + 4*k - 1. List the prime factors of f(3).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6645)\/(-66)*(-4)\/(-320). Let k = f + 15\/32. Find the common denominator of k and 13\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - -7) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120247, 481250, 1082931, 1925296, 3008351, 4332102, 5896555?\nAnswer: 7701716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353120157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5049588316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:39 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50317, 100636, 150955, 201274, 251593?\n\"Answer: 50319*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3136 and -0.073.\nAnswer: 228.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 32. Let y = 46 + -38. Calculate the remainder when z is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/6 + 4\/(-6). Let u(f) = -8*f**3 - 11*f + 4 - 3*f**3 + 0*f**3 + 12*f**3 - 141*f**2 + 0*f**3 + 135*f**2. What is u(p)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 120 = 3*f, -6*f + 2*i - 150 = -2*f. Are -36 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408979725 by 244167.\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594.5103 rounded to the nearest ten?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3425834879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -825, 3, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.5 - 4.3. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 2*c + 1. Let a be q(2). Let d = -63 + 63. Suppose d = 2*j - 4 - 0. Solve -3*g - a = j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(19\/((-855)\/18))\/((-32)\/(-360))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38\/23 in 23, 4\/3, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/9453461959 + -282441082921243\/131403121230100. Let g = y - 2\/3475. What is the common denominator of g and -46\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (111\/2)\/((-22)\/(-88)). Let i = t + -206. Suppose 4*s - s + v = 44, 0 = -5*s - 2*v + 72. What is the greatest common divisor of i and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56\/35 - (-281652)\/30.\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 4*m**2 + 2*m**2)*(-m + 3*m - m)*(0 + 0 + 1).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530794252 minus -4?\nAnswer: -1530794248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Let o = 7047\/2 - 31742\/9. Calculate the common denominator of 2 - (g + (-102)\/(-40)) and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least as big as -0.696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/425 - 293\/18700. Let p = h + -85\/132. Put 1\/4, -1, p, 0.2 in decreasing order.\nAnswer: 1\/4, 0.2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*x - 8*k + 12*k = -27, 0 = 59*x + 6*k - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o - 111*o**3 - 112*o**3 + 223*o**3 - 47*o**3.\nAnswer: -47*o**3 + 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 7\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 36, 0.5 in descending order.\nAnswer: 36, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/5611 + -420961\/190774. What is the common denominator of 61\/(-8) + -4 + 5 and r?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 2*v + 6, 3*s - v - 6 = 0. Find the second derivative of 2*o + 3*o**5 + 0*o**5 - s*o wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 26*u - 1. Suppose -3*g + 2*g = 11. Let r be h(g). What is r rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*g + 30, -5*g + 2 = -4*x - 7. Let p(w) = -2*w**2 + 2*w - 54269*w**3 - 2*w + 12602*w**3. Let y be p(x). Round y to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -796*g - 305*g + 1118*g**2 - 1117*g**2 as u*g + w + h*g**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.242 + -15.729. Let v = y - -18. Round v to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 0)*(-3 - n + 3) + (n + 2*n - n)*((0 - 2 + 0)*(-6 + 1 + 1) + 3 + 3 - 2)*(16 - 9 - 14))*(3 - 2 - 4)*(2*n**2 - 6*n**2 + 3*n**2).\nAnswer: -501*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*t - 364*t - v = -7, 5*t + 4*v = 21. Let l(r) = -30*r + 11. Give l(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1971254 and 1084?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 22 (b) 1\/6 (c) -2 (d) -7.8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -1\/251 (c) 165 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/1)\/((-4)\/36). Let w = 14 + -9. Suppose -u + 2*u = 0, 2*u + 50 = w*h. What is the greatest common factor of h and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4398 (base 15) to base 2.\nAnswer: 11011111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 14. Let h(o) = -49*o - 233. Let c be h(-5). Are c and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-113 - (57 + (16 - 63))) + -1 + 1 + -4.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-21)\/(i**(-5\/2)*i*i**7\/i) assuming i is positive.\nAnswer: i**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - 54. Calculate the remainder when a is divided by 7\/4*(5 - (-4 + -7)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -59. Suppose 9*x = 6*x + w. Determine d so that d - 13*d**4 - 15*d**4 + x*d**4 - 3*d**3 + 0*d**3 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (-2 + 2*(4 + -2 + sqrt(700) + ((sqrt(700) + 2)*-1 - sqrt(700))) + 2)**2.\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*r + 392564 = 14*r - 5790940. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1.7 (b) -2\/7 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 1\/3, -0.1, 2\/33, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - z**2 + 7*z - 4*z**2 - 2 - 6 + 5*z**3. Let q be f(4). Does 9 divide 9*-1*(q + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**4\/7 + 30*s**3\/7 + 16*s**2\/7 - 30*s\/7 - 25\/7.\nAnswer: (s - 1)*(s + 1)*(3*s + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 60. Suppose -b*a + 0*a + 5713 = w, 4*a = 5*w + 11461. Suppose -5*p + a + 316 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:17 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-135) + (-640)\/(-4425). Is c <= -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let k be 0*(p + 0 + 1). Is k smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2, 0, -2\/3, 34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mup when three letters picked without replacement from {i: 10, p: 3, m: 2, u: 1, z: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/24869390 and -37\/1092.\nAnswer: 149216340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 5*h**3\/6 - h**2 + 11*h. Let o be f(3). What is the greatest common divisor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 50*d**3 + 2*d**2 - 1. Let a be v(1). Let f be a\/(-5) + (-1)\/(-5). Is 5 a factor of (-9)\/(-6)*f\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:57 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.197562.\nAnswer: 0.0790248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**17*h))\/h**(-17\/3)*(h*h*h**(-12))**9 assuming h is positive.\nAnswer: h**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*4*(3 + (sqrt(1088) + 0 - sqrt(1088))) + 6*(2 + sqrt(1088) + 1 + sqrt(1088) - sqrt(1088) - sqrt(1088) - 1*(0 + sqrt(1088))) + 4)**2.\nAnswer: -480*sqrt(17) + 39193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m**3 + 2*m. Let z = 1235 + -1233. Let u(b) = 208*b**3 - 39*b. Determine z*u(x) + 39*f(x).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 70?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 37. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 + 45927*g**2\/2 + 3410919*g\/2 + 63177981\/2.\nAnswer: -3*(g - 15383)*(g + 37)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/23580 and -121\/360.\nAnswer: 47160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*b - 21294 = 13*b + 18489. Calculate the highest common factor of b and 1513.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 28434165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41079 is divided by 978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -205*z**2. Let s(p) = -p + 8. Let j(o) = 5*o - 36. Let q(n) = 2*j(n) + 9*s(n). Give q(h(f)).\nAnswer: -205*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfwssfwgwijw. What is prob of sequence sffi?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3840 = 379787*s - 379835*s for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 856798.4 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10559 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 37. Suppose -z*k = -3*i - 223, 2*k + 0*k + 2*i = 86. Let n be k\/8 + 2\/4. Solve n*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(4 + 2). Suppose -p*k - 4 = -3*k. Let t be 8 + k + 3 + -1. Solve -5*j + 33 = -4*x, -2*x = 2*j - 0*j - t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, -50.\nAnswer: -50, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4034 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24496388 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19723 and 3025?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/3 + 186356*k**4\/3 - 931618*k**3 - 3353932*k**2\/3 + 5962432*k\/3 = 0.\nAnswer: -2, 0, 1, 16, 93163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 * -3316.\nAnswer: 464240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 6*m**2 - 2*m + 9. Let t be y(4). Suppose 3*l = 2*o - 5*o, -l - 5*o = 12. What is the highest common divisor of t and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, 1 v, and 1 x when four letters picked without replacement from {v: 1, l: 6, g: 4, x: 1, a: 1, z: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100601, 100566, 100507, 100424?\nAnswer: 100317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 10)*2\/3. Suppose z*x = -2*x. Let r = 25 - 11. Solve 5*b = 3*s - r, x = -b + 5*b - 2*s + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*o = -11, 0*o - o + 4 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 15 = 31*o, 4*o + 652 = 4*z. Let w = z + -166. Solve w = -9*m + 4*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4464928 divided by 171728.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 30 = m + 2, 4*n + 13 = m. Let u = 6 + m. Let c be ((-8)\/16)\/(u\/30). What is the highest common divisor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -317*h + 550*h - 306*h. Let n(w) = -2*w**2. What is n(z(p))?\nAnswer: -10658*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59057 and -2.1?\nAnswer: -124019.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 35 = 106 - 60 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 59*c**3 - 5*c**2 + 5*c + 59. Let x(y) = 61*y**3 - 6*y**2 + 6*y + 59. Let h(i) = 6*u(i) - 5*x(i). What is the first derivative of h(g) wrt g?\nAnswer: 147*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 550, 1101, 1652, 2203, 2754, 3305?\n\"Answer: 551*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477884422?\nAnswer: 2, 7, 105563173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, s: 7, v: 2, j: 3}. What is prob of picking 1 h, 1 j, and 1 s?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34045 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2409 = -3*i + 1905, 2*y + 4319 = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*b - 22*b - 26*b**2 - 6 + 4)*(2 + 0 - 3)*(-5 + 2 + 1) as d*b + q + k*b**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 6*k = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and 3249.\nAnswer: 162450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 591872345 * -2\nAnswer: -1183744690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**2*z**3 + 343*f**2 + f*z + 88*z**3 wrt z?\nAnswer: 24*f**2*z + 528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199163617 rounded to the nearest one million?\nAnswer: 4199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let f = -68 + 74. Let x(s) = f*s**2 + 17*s**2 + 13*s**2 - 6*s**2. Give x(v(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1117 - 62595\/56. What is the common denominator of j and 107\/1064?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 373 = a, -2*a + 220 = 3*d - 1. Suppose -4*l + 7*l - d = 0. Let b(g) = g**2 + 1. Let y be b(-2). Calculate the greatest common divisor of l and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8965632 < -8965629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/((-14)\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 22530, 1, -5 in descending order.\nAnswer: 22530, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3. Let p(h) = -3*h**3 - 6*h**2 + 5*h + 1. Let z(y) = -4*j(y) - p(y). Let s be 100\/6 + 1\/3. Let b = -12 + s. Determine z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*z - 34. Let k(a) = a**3 - a**2 + 4*a + 4. Let u be k(z). Suppose -m = -5*s - 60, -3*m + 2*s = -u - 99. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gql when three letters picked without replacement from qnqnxsglg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(2268) - sqrt(2268))*3 - (-3*(-1 + sqrt(7))**2 + -3 + (sqrt(343) + 0 + sqrt(343))**2 + -2).\nAnswer: -1343 - 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 9) to base 7.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7203.378ml to litres.\nAnswer: 7.203378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*c - 155, -10 = 4*c - 30. Let k = 57 + q. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/120 + p**5\/10 - 5*p**4\/24 - p**3\/2 + p**2. Let o(w) = w**3 - 9*w**2 + 9*w - 3. Let v be o(8). What is h(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose -g*y = -0*y. Let i be 1*2 + 11\/(-5). What is the smallest value in i, -2\/11, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 51*s + 51*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 29 - 13*b to o + q*b and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 17*s + 4. Give f(-15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5449 plus -976?\nAnswer: 4473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21170 is divided by 576?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*o + 48 = 0, o = 3*p - 4*p + 17. Suppose -8*q = -q - p. Suppose 0 = k - q*k + 52. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -8*w. Solve w*x - t - 9 = -2*x, 2*x + 4*t + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 6. Let j(f) = 7*f**3 - 13*f**2 - 7*f + 7. Let g(z) = -3*z**3 + 6*z**2 + 3*z - 3. Let o(s) = 9*g(s) + 4*j(s). Let l be o(-3). Give a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 32. Suppose -21*x + p*x + 15 = 0. Suppose -5 = -x*a + 5. Solve -3*k - 10 = 5*l, -3*l + 2*k = -a*k + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61\/27 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-17 - (6 - 44 - (2 - -6)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/8 and 99\/6394.\nAnswer: 25576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/25)\/(n**(3\/4)\/n)*n**(-5\/6)*n*n*n\/n**(13\/4)*n assuming n is positive.\nAnswer: n**(31\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112004.\nAnswer: 2, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**3\/15 + 6*a**2\/5 + 25. Let l(u) = 0. Calculate u.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1844.0000017 + 1844. What is l rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**4 + 8*z**3 + 11*z**2 + z - 3. Let a(g) = 5*g**4 - 17*g**3 - 23*g**2 - g + 7. Let u(y) = -3*a(y) - 7*m(y). Factor u(r).\nAnswer: -r*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = m + 32*l - 18, 5*m - 75 = -5*l. What is the third smallest value in 1\/2, m, 6, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10873.\nAnswer: 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 3*j**3 + j**3 + (0 + 6 + 2)*(3*j**3 - j**3 - 3*j**3))*(345 + 329 - 634).\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 3*d**7\/14 + 4*d**3 + 35*d. Find the second derivative of n(s) wrt s.\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -400908873.\nAnswer: -400908869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 divided by -147?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -80 (c) 10.5 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 88*z**3 + 532*z**2 + 192*z - 6912.\nAnswer: 4*(z - 9)*(z - 8)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/234*165\/(-5)*6\/(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - (5 + 640\/(-12)). Let k = x + -148\/3. What is the closest to 0.7 in -0.3, k, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/140*120\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.06 + 0.06. Let v = -0.052 + 2.052. What is the nearest to v in d, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -57*a. Let l(b) = 400*b + 5. Let c(q) = -2*l(q) - 14*v(q). Let r(d) = d + 5. Give 4*c(g) + 10*r(g).\nAnswer: 2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 881952, 881959, 881970, 881985, 882004, 882027, 882054?\nAnswer: 882085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 11:20 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + 8*r - 5. Let g = -1 - 2. Let x(w) = -3*w - 2. Let c be x(g). Let d be l(c). Solve -3*v + 3 = -d*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.7 from -9479.\nAnswer: -9467.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3038*h = -7013 + 7104 + 75859 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-105) - 8\/35. Which is the nearest to -1? (a) -4 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143, 540, 1189, 2090?\n\"Answer: 126*r**2 + 19*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16838768 + 16838770.59999978. Let h = -2.6 + f. What is h rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 9*j + 12. Suppose -30 = -0*o - 3*o. Let q be p(o). Suppose 3 = q*d - 13. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39784.561 to the nearest one hundred.\nAnswer: -39800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*i - 1433 = -1374, 0 = -13*i - 65 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 14*s**2 - 3*s - 9. Let h be (15\/(-12))\/((-7)\/84). Let g be j(h). Let o be 92\/5 + (-30)\/(-50). Calculate the highest common divisor of g and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*q + 46 - 6, 5*f + 5*q = 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f + 1. Let z = 10 + -10. Let m(l) = 1. Let b(j) = j - 2. Let d(x) = -b(x) + 2*m(x). Let s be d(z). Determine r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 4 + 4 + (-3529 - 1312 - 2600)*(2*w - 7*w + 4*w).\nAnswer: 7439*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1891892 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-114)*11\/(2695\/84)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 99 - 55 - 45. Let x(s) = 71 - s**2 - 60 + 3*s**2. What is -22*p(t) - 2*x(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (843 - 775) + -32 + -1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 12.5. Let k = c + 85. Suppose 0 = o - 1, 5*w + 0 = 2*o - 2. What is the closest to 2 in k, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 3*n - 18. Let b(j) = -5*j - 3. Suppose 0 = -4*l + 5*k - 17, -2*k - 1 = l - 0. Calculate the least common multiple of m(-7) and b(l).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:13 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96b775 + 2b?\nAnswer: 96b7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49641623 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*l - 27*l + 13298 = -75*l. Which is the smallest value? (a) -5 (b) 0.06 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 18*w**3 - 8*w**2 - 2*w + 14. Let o be l(6). Let u = 1594 - o. Is (-7)\/(-21) - u\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let c(o) = 17. Let x(u) = 191*u - 12988. Let j(n) = 2292*c(n) + 3*x(n). Determine j(i(q)).\nAnswer: -573*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 205620 plus -3.95420305?\nAnswer: 205616.04579695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 49479541*x. Let w(n) = -2*n. Give j(w(c)).\nAnswer: -98959082*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-2\/7)*g)\/g**(-4\/7))**30)**(1\/31) assuming g is positive.\nAnswer: g**(690\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 24. Let o = j + -10. Let n = 1.3 - 0.3. Which is the second smallest value? (a) 4 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -1\/4*n**4 - 1\/3*n**3 + n**2 + 0*n - 2. Suppose v(y) = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 - 0 - 6 - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18490817717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -35*k**4 + k**3 + 23*k**2\/2 + 1048*k. Find the second derivative of y(r) wrt r.\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 2*m + 7*m - 5*m. Let y(g) be the second derivative of -1\/3*g**3 + 0*g**2 + 0 + g. Give a(y(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 66*f - 438. Let j be s(-58). Solve -84 = -16*o - j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-b**5 - 3*b**2 + 3*b**2) - 155*b**5 - 88*b**5 + 114*b**5)*(-3 + 1 + 6).\nAnswer: -512*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -656*g**2 - 886*g**2 + 242*g**2 + 212*g**2 as n*g + o + r*g**2 and give r.\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -347\/9 or -39?\nAnswer: -347\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25252215 to the nearest integer?\nAnswer: 5025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 174 (b) -3\/7 (c) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**(-3\/10))\/o))\/o**8*(o**(8\/3)*o)**(-34) assuming o is positive.\nAnswer: o**(-3959\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-4 + 2 + -3). Suppose 4 = -n*y + 16. Calculate the least common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, -1\/2, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*k - 15, -3*s + 15 = 4*k + 2*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -101. Is 8 a factor of (-20)\/3*i\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 + 153. Let a(c) = -2*c**2 - 79. What is -10*a(g) - 4*s(g)?\nAnswer: -4*g**2 + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(85)*2*-3)\/(1*sqrt(405)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/8288 and -19\/112?\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-108) - (17 + 1076)\/(54\/(-80306)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*b - 146 - 314 = 269*b + 246*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -4201*q**3\/6 - q**2\/2 - 83*q. Is l(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -2)*1*3)**2 - ((sqrt(1872) - (sqrt(1872) - (-1*sqrt(1872) - sqrt(1872))*3)) + -4)**2.\nAnswer: -50524 - 1008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + -1)*(-35)\/(-70). Let a(f) = 2*f**2 - 37*f - 14. Does 7 divide a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447 and 98868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)**38\/(h*h**3*h**(4\/7)\/h))\/(h*h**1*h\/(h\/h**(-2\/7))*(h*h*h**1)**(-6\/11)) assuming h is positive.\nAnswer: h**(-3207\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 275981\nAnswer: -137990.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-0.034.\nAnswer: -1.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 48?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3487720 to the power of 1\/2, to the nearest integer?\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let w(a) = -3*a**2. Let h(i) = 4*i**2. Let k(t) = -6*h(t) - 7*w(t). Calculate l(k(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-24)*3 - (-50)\/8. Let h be ((-18)\/21)\/(l\/(-28)) - -5. Suppose h*a + 3*a - 60 = 0. What is the lowest common multiple of 1 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -363 + 2175. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let t(q) = -17242208*q. Give t(f(h)).\nAnswer: -34484416*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9042797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2058 divided by 294.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 33 = -b + 22, -4*b + 4*z = -5*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -5\/12*q**5 + 5\/48*q**8 + 0 - 55*q + 5\/12*q**4 + 5\/42*q**7 - 3\/8*q**6 + q**2 + 0*q**3. Determine y, given that j(y) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4) + (1 - (-2 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-39) + (-65464)\/728 + 11?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4292 = -3*s, -10730 = -r - 4*r - 4*s. Suppose 7*x - r = 4*x - 2*l, x - l = 722. What are the prime factors of x?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) + -1*sqrt(153))) - sqrt(153))*-6 + sqrt(153))\/(sqrt(1089)*-2 + sqrt(1089)).\nAnswer: 5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 + 90. Suppose 3*b - a = -260. What is the remainder when 164 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 - (-910)\/25. Suppose 5*i + 4 = -5*p + 4*p, -3*p + 4*i + 26 = 0. Find the third derivative of -76 - 45*x**p + 76 + v*x**2 wrt x.\nAnswer: -5400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5970 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42.65, -2, -4.\nAnswer: -42.65, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/2? (a) 1 (b) -87 (c) -68\/15 (d) -0.1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3311 - -3306. Put h, -3, -43 in ascending order.\nAnswer: -43, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from vdfbvfh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*w + 4, 4*l - 4*w - 10 = -2*w. Calculate the smallest common multiple of l and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 8*r**2 - 1 - 13 + r**2 - 20.\nAnswer: -7*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -26.1. Let j = s + 1.1. Let m = 7\/24 - 1\/24. What is the closest to 0.2 in j, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 120*d + 1003. Let o be j(50). Solve -3 = 3*t - 5*y, 21*y = -3*t + 17*y - o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.1 - 1.1. Let a = 86 - h. Let o = 60.9971 - a. Round o to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*v + 0*v = 2, s + 18 = -5*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x + 3. Let b(t) = -12*t**3 - t + 37*t**2 + 27*t**2 - 66*t**2. Determine b(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6529 divided by -23\nAnswer: -6529\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 185. Let q be w(-62). Let n(j) = 23*j + 20. Let o(s) = 8*s + 7. Let t(v) = -6*n(v) + 17*o(v). Give t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -q - 0, 5*b + 3*q - 23 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-10)))\/y**(-4\/15)*(y*y\/y**(-3\/7))\/y**(2\/7))**(-2\/11) assuming y is positive.\nAnswer: y**(-2606\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 + 4*q**2 + 7716 - 60*q - 15439 + 7721 to m*q + a*q**3 + j*q**2 + o and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3*2*-1. Suppose l*m + 172 + 76 = 0. Let c = m + 87. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 3\/4*o**4 + 13\/2*o**2 - o - 19 - 5\/3*o**3. What is the units digit of m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4321, 28, -25, -4, 5 in increasing order.\nAnswer: -25, -4, 5, 28, 4321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417 is divided by (0 + 8)\/(94\/(-47)) - 3*-146.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32032.21 - -31863. Let p = 170 + i. Let z = -4.21 - p. Which is the closest to 1\/2? (a) z (b) -19 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 12*j**2 + 8700*j - 349856.\nAnswer: -(j - 58)**2*(j + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 37, -1, -0.11 in increasing order.\nAnswer: -352, -1, -0.11, 37","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -66. Suppose 5*a - f - z = 0, -14 = -2*a + f + 1. Solve a*o + 2*l + 0*l = -9, 2*o - 2*l - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 - 15*k**2 + 4 + 103713*k**3 - 103697*k**3 - 22*k**2.\nAnswer: 16*k**3 - 37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.05, 0.5, -1150?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-202*m - 311*m - 496*m)*(4 - 3 + 3) in the form o + s*m and give s.\nAnswer: -4036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12\/11))**(-28) assuming l is positive.\nAnswer: l**(336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 3, 132348 in descending order.\nAnswer: 132348, 110, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p - 269. Let z be t(-21). Factor -3\/4 + 0*r**2 + 3\/2*r - 3\/2*r**3 + 3\/4*r**z.\nAnswer: 3*(r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 greater than or equal to -537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1673*z - 1689*z + 3364*z - 4.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/47284725 or 1?\nAnswer: 8\/47284725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5 - 4. Suppose l*r + 11 - 248 = 0. Suppose c = 16 + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*s + 31. Find the second derivative of -203*g**4 - 28*g + 8*g + 306*g**s wrt g.\nAnswer: 1236*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27875 is divided by 195.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - (-4 - -5)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - 149. Which is the closest to 0.1? (a) -1\/4 (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, 170, 383?\n\"Answer: 213*l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 26, 42, 58, 74, 90?\n\"Answer: 16*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 288. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 23 + 16 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1105 = -3*h, -n = 2*h - 282 - 269. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.609 + -77.551. Let y = 80 + c. What is y rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(1\/3))\/o)\/o)**(-7\/2))**(3\/5)*((o*o**(-4))\/(o**(-1)\/o*o))\/(o**0\/((o\/((((o*o*o\/(o**(-2\/3)*o))\/o)\/o*o)\/o))\/o)) assuming o is positive.\nAnswer: o**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r + 7*m - 3*m, -4*m = -4*r - 8. Suppose h - s + r + 2 = 0, -5*h = s + 20. Which is the nearest to 0.1? (a) h (b) 1\/12 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 3*a**3\/2 - a**2 + 7*a. Let x be l(3). Solve -x = 9*w - 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((144 - 33) + -57 - (0 - 11)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + 0 + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.1. Let y(r) be the first derivative of -r**2\/2 + r - 4. Let i be y(3). Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44315.56 < 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/15 - 4*d**4\/3 + 14*d**3\/3 + 83*d**2 - 11. Solve v(u) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i - 11*i + i**4 + 4*i**3 + 2*i**2 + 5*i - 2*i**3 as l + o*i**4 + n*i + b*i**3 + m*i**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 343 = -4*y. What is the highest common factor of 26 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c**(-3\/7)\/c)\/c)\/c)\/(c*c**(-1\/2)*c))\/(c**(4\/7)\/(c**4\/c))*c**(-2\/11)\/c**(-2)*(c\/((c*c**1*c)\/c*c))**(-3) assuming c is positive.\nAnswer: c**(161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -185\/682962 and 51\/707?\nAnswer: 682962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-278*(-4)\/16)\/(5\/30) is divided by 113?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(98) - (sqrt(8)\/sqrt(4) + -1)) + 1*(sqrt(6) + 2*sqrt(6))\/sqrt(3))**2.\nAnswer: -10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 40. What is the second derivative of -8*x - 2*x - j*x**5 - 3*x**5 wrt x?\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/16)\/(-8*39\/(-32)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4954 - 307. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100424556047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 1057*s**4\/24 - 2861*s**3\/6 - 1166*s**2. What is the derivative of y(w) wrt w?\nAnswer: 1057","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -236 (c) -2\/3 (d) -83 (e) -0.4 (f) 2\/5 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1030 divided by -5\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 + 5*h - 208. Let l(k) = -k**2 - k + 1. Determine a(d) + 5*l(d).\nAnswer: 4*d**2 - 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggggggggxggggg. What is prob of sequence gx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4167048 and 520881.\nAnswer: 4167048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5 = -3, 4*m - 2*w - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or -615597?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 540 + 235*i**3 + 137*i**3 + 770 - 2144 wrt i.\nAnswer: 1116*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -32.7?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:32 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.3 - -9. Let g = 2.1 + -0.7. Let v = -0.4 + g. What is the second smallest value in -5, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3 + -28059)\/7*9*(-9)\/54 and 6.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 22*g**2 + 55*g - 45. Give y(19).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z. Let x be q(1). Calculate the least common multiple of 12 and 1 - (-5 - x - 19).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15364 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 9*m - 26*m**2 + 25*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 5:09 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -20089860.\nAnswer: -1\/6696620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 0.3, -316029?\nAnswer: -316029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 + 7*g**4 + 628*g.\nAnswer: 40*g**3 + 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2248, 8984, 20210, 35926?\nAnswer: 56132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(12\/(-198)). Suppose -4*c + 21 = -f. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4801194?\nAnswer: 2, 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 2302321003?\nAnswer: 2302321024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**8\/6720 - x**7\/1260 - x**6\/180 - 7*x**5\/120 - 35*x**4\/3 + 99*x. Let u(g) be the third derivative of p(g). Give u(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13397.93m in centimeters?\nAnswer: 1339793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose -5*q + n*q = -55. Suppose x + a - 1 = 2, 3*x = -4*a + q. Is 1 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 268*d. Let h(l) = -2*l. Determine h(i(m)).\nAnswer: -536*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212451204.\nAnswer: 2, 3, 7, 2529181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126237 >= 1594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-21)*(-9)\/(-2). Let z be -3*(-1)\/l*4. Let r be ((-6)\/10)\/((-5)\/25). Put z, r, -1 in ascending order.\nAnswer: -1, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 309, 707, 1195, 1779, 2465, 3259?\n\"Answer: u**3 + 36*u**2 + 199*u - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 25*k**2 + 2*k + 3. Let u be z(-2). Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12431522 (base 6) to base 3.\nAnswer: -202202120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792585 divided by 2565.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 23*l**4 - 5 + 34*l**4 + (3*l**3 - 3*l**3 + l**3)*(l - 2*l + 2*l).\nAnswer: 12*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w - 5*w. Let k(b) = 4*b + 26. Let u be k(w). Let j = 10 - 6. Solve 0 = -0*m - u*m - j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 17*i**2 + 31*i + 147. Let d be m(-18). Sort -1, -3, 1, d.\nAnswer: d, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77a - 5?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208786*g**3 - 417514*g**3 + 208751*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 347579*o**3 + 4*o - 348069*o**3.\nAnswer: -490*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3 + 6*v**2 + 15*v + 8 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1767825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) + sqrt(2160) + (sqrt(2160)*1 - sqrt(2160)) - sqrt(2160))\/sqrt(3)*6)**2 + ((sqrt(180) + -3 + sqrt(180))*1)**2 + -1.\nAnswer: -72*sqrt(5) + 26648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllk when four letters picked without replacement from nlklknkknlnkkk.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**3 - 11*q - 9764*q**2 + 21*q + 8 + 9769*q**2 - 10*q to the form a*q**2 + r*q**3 + z*q + x and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 30 = -4*c, 3*t - 11*c + 16 = -13*c. Let m(f) = -f**3 + 13*f**2 + 67*f - 16. Let o be m(17). What is the second smallest value in o, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/6 - 7*v**3\/3 - 9*v**2. Let x be (-27 - -24) + -1 + 13. Calculate the remainder when 41 is divided by j(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 114\/14 - -7) + -1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432\/5*z**2 + 3\/5*z**3 + 0 + 15552\/5*z.\nAnswer: 3*z*(z + 72)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.25 - -0.25. Let m = -0.42 + 0.52. Sort -0.4, m, s, -5 in increasing order.\nAnswer: s, -5, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = 4*z - 8*z - 3552. Does -13 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187 or -928?\nAnswer: -928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114436?\nAnswer: 2, 7, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -283 - -283. Suppose a - 2*w + 2 - 22 = t, -2*a + 8 = 4*w. What is the remainder when a is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, g: 5, o: 5}. Give prob of picking 1 c and 2 g.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846434.\nAnswer: 2, 83, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - 0) + 7 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -862\/3, 2, 5, 3 in increasing order.\nAnswer: -862\/3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*z = 10, 5*f + z = -0*f + 45. Let a be 4 + -7 + f*2\/4. Let w be (5*-10)\/(a\/(-224000)). What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13278 + -13276. Which is the nearest to i? (a) -3 (b) 138 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23154 and -0.3.\nAnswer: 0.069462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 6 - (-29 - -23) - (4 + 24)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:00 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -45. Suppose 0 = 2*g - 4*g. Suppose g = -8*z + 3*z. Solve z*q = s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8796 times -0.304?\nAnswer: 2673.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1823 + -1664. Calculate the highest common factor of a and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2700.\nAnswer: 1\/1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**10\/50400 + s**9\/20160 + s**8\/6720 - s**7\/1680 - s**5\/30 - 5*s**2. Let f(o) be the third derivative of d(o). Factor f(m).\nAnswer: -3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose -h = a*j - 15, j = -h - 0*j + 7. Let z = 24 - h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143074177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -10, 5.\nAnswer: -10, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 31) + (-2 + (-5 - -11) - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0992904 to three dps.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**6\/120 + z**4\/24 - z**3\/6 - 9*z**2. Let h be i(2). Let g = h - -63. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -900, -842, -784, -726, -668, -610?\n\"Answer: 58*f - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:44 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - k = -69 - 210, 0 = 3*t - 5*k - 215. Let g = 49 + -34. Suppose 0 = -4*q + g + 25. What is the highest common factor of q and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -63\/2. Sort -4, 3, k, 3\/8.\nAnswer: -4, 3\/8, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7289894.\nAnswer: 2, 3644947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*1\/2*-2. Suppose 0*v + 36 = f*v. Suppose v - 45 = -3*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 23588009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88889650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 14. Let h = f - 9. Let v = -815\/4239 - -36\/157. Is h <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6))**(27\/7)*h*h**(1\/2)*(h\/(h\/h**(8\/5)*h))\/h assuming h is positive.\nAnswer: h**(281\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: a5097 (base 12) to base 16\nAnswer: 34c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {p: 5, l: 1, e: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253542004 - -3?\nAnswer: -253542001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from dtnzt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002114034636 rounded to five decimal places?\nAnswer: -0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 = 4434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 2*j**5 + j**3 + 3*j - 2*j + 0*j - 2*j**5 - j**3 + j**3 + 2*j**5 + (-2*j**4 - j**4 + j**4)*(-3*j + 4*j + j) - 4*j**5 + 0*j**5 + 2*j**5.\nAnswer: -4*j**5 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 10, 19, 26, 31, 34, 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 1095*s - 1090*s - 30, 3*s = 3*l - 24 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2436 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 11\/4 (c) 2 (d) -3 (e) 0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -8, -0.04, -3\/505?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17380971.\nAnswer: 3, 577, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 5. Let m be y(-5). Let b = -0.13 + 0.03. What is the nearest to b in 2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 95 - 29. Suppose -m*q + 18943 = -3*q. What are the prime factors of q?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6932130 divided by -2577?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 5:49 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1460176122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 22*q + 2670 = 5*j, -q = 0. Suppose n - 489 = 5*c, -j = -n - 0*n - 4*c. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/30*2\/7.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 62*t**2 + t + 49. Let d(i) = -12*i**2 - 10. Let k(c) = -11*d(c) - 2*y(c). Find the first derivative of k(f) wrt f.\nAnswer: 16*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30024 and 103\/3022416?\nAnswer: 9067248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10*x = -240. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1041190472*r**5 - 765140211*r**2.\nAnswer: -62471428320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 94 = 426. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1625 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblrar. Give prob of sequence lr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k)*(-2 + 1 - 2)*(0 - 2 + 3).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 276\/34 - (-36)\/(-306). Let p = v + 91. What is the greatest common divisor of p and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -27. Find the common denominator of -69\/14 and (-985)\/(-20) + (-3)\/s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/2 - 28928*o - 347064 = 0. Calculate o.\nAnswer: -57844, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45631783 to the nearest integer?\nAnswer: 6755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, a: 2, m: 3}. What is prob of sequence aagg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i - 15*i - 6 + 1 + 0*i - 4*i + 2*i + (0 + 0 + 1)*(5*i - 6*i + 2*i) + 2*i + i - 5*i)*(42*i**2 + 64*i**4 - 42*i**2).\nAnswer: -448*i**5 - 320*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.5 - 26.8. Which is the nearest to -9? (a) n (b) -2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*o - 14. Suppose -5*s = t + 4, -s + 5 = o*t - 2*s. Is (203\/2)\/(t\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 56, 163, 312?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 2, f: 1, m: 1, l: 2}. Give prob of sequence cf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4693932 and 4140.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - 3) - (77 + -72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(38)\/sqrt(162) - (1 + (sqrt(19) - sqrt(133)\/sqrt(7)) + 3))**2*-6*-4.\nAnswer: 32*sqrt(19) + 1600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*(-17)\/2*(-132)\/(-66).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1650)\/99*(-81)\/90?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -357 - -359. Find the third derivative of -h*a**4 - 28*a**6 + 42 - a**2 + 2085*a - 2085*a wrt a.\nAnswer: -3360*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*i + 318*i - 460 = 584*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 4*s**3\/3 - s. Let x = -27 - -28. What is the units digit of j(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/6*(-3)\/(-1). Let d(f) = -125*f - 6*f**2 + 65*f - 2*f**3 + 66*f + 0*f**3 + 14. What is the tens digit of d(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28302675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2351202992.\nAnswer: 2, 146950187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrreriitrrrtri. What is prob of picking 2 t and 2 i?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/24 + 4*w**3\/3 - w**2 - 1. Let d(j) be the second derivative of l(j). What is the units digit of d(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 1017 + 1061 - 285 + 509)*(3*i**3 - 4*i**3 - i**3).\nAnswer: -4330*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + (-194)\/(-8). Suppose 4*n = -n - 85. Let z = n + d. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/106 and -111\/537862.\nAnswer: 28506686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 28. Let o be -6 + 6\/(-3) + (-2 - -3). Let s be m(o). Suppose -j + f + 28 + 10 = s, 5*j = 4*f + 194. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 51d?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 11) in base 5?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 236 = 9*j. What is the remainder when j is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 158*b + 37588. Determine l(-238).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1 (b) -0.3 (c) -13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206\/3 - -66. What is the nearest to -2\/9 in b, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/2)\/(136\/(-204)))\/(9\/3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77210135 + 0?\nAnswer: 77210135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -5)\/3 - -86. Suppose -n + x = 2*s, 3*s + 100 = n - 0*s. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262784*x**2 - 165751*x?\nAnswer: -525568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 1 - (-493 + 528) - -4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -5*sqrt(77)*-1)*4)\/(-3*(2*sqrt(7) + sqrt(7))*4) + -4)*-5.\nAnswer: -20*sqrt(11)\/9 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/5558 and -71\/6.\nAnswer: 16674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234207 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ommoomomoomomooooo.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9042 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/18 and 27\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 27*l**2 + 53*l - 105. Determine a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284470 and 982.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from rerrerrrrrrrerrr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214\/839 or 0?\nAnswer: -214\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = v + 1 - 6, v - 10 = -2*i. Suppose z = i*z - 4. What is the second smallest value in 0.2, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75987.58 nanoseconds in microseconds?\nAnswer: 75.98758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*10\/(-14) - 410. Let v = m - -700. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10.495 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*r + 21 = 0, g - 4*r = -2*g - 17. Let d be (g + -2)*(-4 + 1). Suppose 14 = d*q - 7. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/60*2180\/436.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 12*c**2 + 12. Let f be q(-6). Differentiate 3 - 28*m - 9 + f*m + m**3 wrt m.\nAnswer: 3*m**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -18 + 3. Suppose n*s - 8*s + 195 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-138)\/(-2576)*(-2)\/(-20)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*i - 55*i - 47*i + 52*i - 29 wrt i.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 4:16 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2685185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(36)\/sqrt(3)*-2 + sqrt(12) - (-1*sqrt(48)\/sqrt(4) - sqrt(12)))\/((-1*sqrt(80))\/sqrt(5)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:46 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-1))\/((-2)\/2). Let g be ((-2)\/(-4))\/((-1)\/n). Suppose 3*v - g = 10. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 53 = 5*d. Suppose 9*y - 9 = d*y. What is the smallest common multiple of y and (-1328)\/(-60) + (-4)\/30?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878952 - 26*j - 878602 + 1757554.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -41. Suppose -2*f + 62 = -4*f. Let s = x - f. What is the highest common divisor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 8 = -4*s. Let p be 3\/6*-14 + s. Let x = p - -4. Let w(o) = -o**3 - o + 1. Let d(z) = 4*z**3 + z - 1. What is x*d(m) - w(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, 40, -20.\nAnswer: -20, -5, -1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654, 673, 692, 711, 730?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(1*6\/(-9)). Suppose -2*g + 18 = f, 4*g - t = 17. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4 + 5?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**(-7)*(n**(3\/2)\/n*n)\/(n*n**5))\/(n\/((n\/(n**(-1\/2)\/n))\/n*n)*n**(-2)*(n*n**(-2)*n)\/n**5) assuming n is positive.\nAnswer: n**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.24, 256, 33\/4?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 3*w - 2. Let d be i(-2). Let x be (d - -1)\/(9\/27). Solve -x*a = -a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*c - 154. Suppose y - c = -19. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 422.6 + -423. Let f be (-72)\/10 - (0 - 4). Which is the nearest to f? (a) 2 (b) 1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/885680 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 120\/(-25) - (-2 + 6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2*sqrt(98) + -2 - sqrt(98)) + sqrt(98))*5)**2.\nAnswer: -3500*sqrt(2) + 10425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i - 4*i + 8*i)*(0*i**2 + 2*i**3 + 0*i**2 + (1 + 2*i - 1)*(-9*i**2 + 28*i**2 - 5*i**2)) to p*i**3 + s*i**2 + x*i**4 + y + g*i and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/11, 651177 in descending order.\nAnswer: 651177, 5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.07 (b) -2.9 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 4:33 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 4 + 12 + k**2 + 0*k**2. What is the units digit of j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723234.6 months to millennia.\nAnswer: 60.26955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1 + sqrt(5))*5 - -1*sqrt(720)) + (sqrt(15)\/sqrt(75) - (sqrt(5) + sqrt(20) + -2)))**2.\nAnswer: -426*sqrt(5)\/5 + 5086\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305.991278 - 306. Round m to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Let q = -61967 + 61988. What is the remainder when ((-103)\/2)\/((-2)\/c) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -20. Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**2 - 4. Let b(f) = 20*f + 36. Let s be b(-2). Let m(t) = 11*t**2 + 5. Give s*m(c) - 5*w(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8576 = 5*k. Suppose -4*a = -4*y - k, -y + a - 4*a = 552. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -441 by 9.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 15318487.\nAnswer: 30636974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t**3 - 3*t**2 - 3*t. Let y(a) = 70*a**3 - 20*a**2 - 20*a. What is 20*b(j) - 3*y(j)?\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28533 is divided by 7126?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(49\/7)\/7. Suppose 2*k - f + 11 = -5*u, -48 = 4*k + 4*u. Is k greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g + 37*g - g**2 - 374 - 3*g**2 + 36*g.\nAnswer: -4*g**2 + g - 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + 6 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1112 - db9?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 138, 319, 582, 933, 1378?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 9*p**2 + 18*p - 133. Let x be q(9). Calculate the highest common divisor of 1363 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.3887 * 2.\nAnswer: 18.7774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38642867999 and 0.1.\nAnswer: 38642867999.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21503795620 plus 4?\nAnswer: -21503795616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, -0.8337, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:49 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11981 + 47*i + 37762 - 7*i - 12885 - 12896.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 601671 and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l*x**4 - 50*l*x**2 + l*x + 3*l + 31*x**4 - 12627*x**3 - x**2 + 2*x - 823 wrt x?\nAnswer: -96*l*x + 744*x - 75762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**34\/((f\/(f\/(f*f**(-2))))\/f)**(15\/4)*(f*f**(-2\/7))**(-2\/5)\/(f\/((f\/f**(-2\/19)*f)\/f)*f\/(f\/f**(-1\/3))*f) assuming f is positive.\nAnswer: f**(86705\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*n - 2*n - 8, -2*n = 6. Suppose j*w - 6*w = -784. Suppose -3*f + w = -f. Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-five eighths of a millisecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 132*c - 1216. Is d(26) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-33) - (-18)\/(-99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/8 + 13*v**5\/20 - v**4\/2 - 2*v**3 - 8*v**2. Factor x(g).\nAnswer: -3*(g - 2)*(g - 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149488\/81 equal to 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 4 - (1 - 2)) + -3 - 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257, 30, -3 in decreasing order.\nAnswer: 30, -3, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0 - 6. Let y be -3 + v + -2 - -1. Solve 3*f + y*d - 7 = -3*d, 4*f - 4 = -4*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5360 + 5353. Let h(d) = 2*d**3 + 12*d**2 - 17*d - 8. Determine h(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -96. What is the highest common factor of 72 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6433*m - 246509 - 223100 for m.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 62. Let n(k) be the second derivative of 1\/6*k**3 + 1\/6*k**4 + k + t*k**2 + 0. Find the second derivative of n(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2667 and 4211613.\nAnswer: 534874851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 301393 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9342 not equal to -18683\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -48. Let b = r + -42. Factor 2\/3*j**3 + 2*j - 2*j**b - 2\/3.\nAnswer: 2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Let p(w) be the first derivative of -w**2 + 8*w - 159. Let o be p(g). Which is bigger: -2\/61 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.08961 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 956776 to the power of 1\/2, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(250)*1)\/sqrt(5)*-2 + ((0 + sqrt(128))*6 - (1 + sqrt(128) + 5)))**2.\nAnswer: -360*sqrt(2) + 1835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1673 in -1, 12, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15 = -7. Let q be (-4)\/y*1*34. Suppose 3*g - 4*h - 30 - 41 = 0, -5*g - 2*h = -75. Calculate the highest common factor of q and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/31))**38\/(i**(-2\/37)*i\/(i*((i\/(((i\/(i\/i**(-6)))\/i)\/i)*i)\/i)\/i)))**(-44) assuming i is positive.\nAnswer: i**(-2447984\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 26*m**2. Let k = -5 - -7. Suppose k*u = -i + 1, 4*i - 5*i - 2 = 3*u. Calculate the remainder when r(-1) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3637 - 1136. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1257 (base 8) to base 6.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 30. Let j be t\/(3 - 32\/10). Suppose j*d = 7*d - 48. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(1\/19)\/(y\/(y*y*(y\/(y\/(y*y**7)))\/y)*y**(-2\/11))*(y**(-5\/6)\/(y*y\/(y\/y**(-2\/7))*y))**(6\/17) assuming y is positive.\nAnswer: y**(542072\/74613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - ((-968)\/96 - -10). Let u = -940 - -1981\/2. Let g = u - 48. What is the smallest value in d, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfsfsvffvfsggsgfbvf. Give prob of sequence ss.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/540 + j**5\/270 - 9*j**2. Factor r(u).\nAnswer: -2*u**2*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*j - 4*j. Let h = j - -13. What is the nearest to -2 in 0, 0.4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:45 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 1\/5, 1, 1.88?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233036707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-19)\/3*(372 + -375)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 7, i: 2, w: 1, z: 7}. What is prob of sequence wi?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2303, 9025, 20225, 35903?\n\"Answer: 2239*p**2 + 5*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 8729.\nAnswer: 8726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 639 + 51. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 10, -6*o = -s - 4*o. Suppose l + s = -12. Put l, -1, 4 in descending order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 203. Suppose x - 4*g = 3*x + 30, 4*x - g = -t. Let n = x - -34. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 17. Let c be (-2 + 7\/3)*j. Solve -3*s - c = 0, 5*s = a - 4 - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135544297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 14. Put s, -1\/9, -4 in decreasing order.\nAnswer: s, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2308*k**2. Let i(t) = 10*t**2. Determine v(i(r)).\nAnswer: 230800*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90 - 137*t - 3051*t**6 + 10*t**2 + 921*t**6 + 137*t wrt t?\nAnswer: -255600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*a + 5*a = 16, f + 12 = 3*a. Let r be (f - (-104)\/(-14)) + 5. Factor -1\/7*x**3 + 0 - 4\/7*x + r*x**2.\nAnswer: -x*(x - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*s + 58, -5*s = -s - 8. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*2*-3)\/(-2*sqrt(1200)))\/((sqrt(120) + sqrt(120)*2*1)\/(sqrt(24)\/sqrt(18))).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 320695.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-11) - 2\/11. Let o(w) = -w**3 - w**2 + w + 2. Let g be o(m). Suppose -g*k + 3*k = 19. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383994438 times -4\nAnswer: -1535977752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/2 - 5220*r**2 + 4435200*r + 185856000 = 0. What is r?\nAnswer: -40, 1760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01278823 to four decimal places.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -5. Let f(d) = d**3 + 4*d**2 - 6*d. Let v be f(p). Solve n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/12 - f**3\/3 + 2*f**2 + 4*f + 8. Let r(m) = -m**2 + m + 1. Determine d(u) - 2*r(u).\nAnswer: u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100112 (base 3) in base 16?\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/12)\/(3\/(-6)). Suppose g*z = 2*z + 75. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - r)*(8 - 31*r + 30*r - 3).\nAnswer: r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_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: Simplify 2 + (sqrt(500) + sqrt(500) + (sqrt(500) - (2 + 1*sqrt(500))) + sqrt(500) + sqrt(500))**2.\nAnswer: -160*sqrt(5) + 8006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let s(b) = -2*b + 29. Let j(p) = 897*p - 120. Let d(t) = j(t) + 4*s(t). Calculate x(d(c)).\nAnswer: -1580642*c**2 + 14224*c - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + 0 + sqrt(684) + 1.\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 7*p + 2. Calculate the remainder when n(-5) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 864 + 10 = -4*p. What is the remainder when p is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18806.936 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) + -1*sqrt(153)*-1 - -2*sqrt(153)*1))\/(-5*(sqrt(9) - sqrt(576)) - (sqrt(576) - (sqrt(576) + sqrt(576)*-1))).\nAnswer: -16*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 2*o - 168 = 0. Let v be (-3)\/o + (-1773)\/(-63). What is the common denominator of 1*-3*v\/21 and 73\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 + 1\/6*o**3 - 1\/2*o**2 + 11*o. Let i(a) = a - 1. What is -5*i(n) + 4*r(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72774 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 26 = 2*t, 284*o - 44 = 5*t + 282*o for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 7 (b) 2 (c) 2\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 882*r**3 + 7140*r**2 + 674*r + 16.\nAnswer: 2*(r + 8)*(21*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 1, k: 1, o: 2}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 2*r**2 - r. Let j(u) be the first derivative of -11*u**2\/2 + 29. Calculate f(j(q)).\nAnswer: 242*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(209) - (-6*sqrt(209)*-1 - sqrt(209)))\/(((sqrt(704) - (sqrt(704) + 5*sqrt(704)*2)) + sqrt(704))*2).\nAnswer: 7*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162610.\nAnswer: 2, 5, 7, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 3.8. Let h = 54 - 264. Let s = h + 212. Which is the closest to s? (a) -1 (b) j (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {k: 2, c: 1, p: 1, l: 2, s: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168, 157, -296, -1413, -3416, -6527, -10968?\n\"Answer: -37*f**3 + f**2 + 245*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -129*v**2 - 2. Let k(z) = 2*z. Give k(q(p)).\nAnswer: -258*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/176?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 957*f + 1998*f - 76830 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/15)\/f)\/(f\/f**(-8\/7)) assuming f is positive.\nAnswer: f**(-323\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(3)*-4*6 + sqrt(21)\/(sqrt(448)*-2).\nAnswer: 1919*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -1181\/7. What is the smallest value in n, -2, 1, 5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:41 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*s + 52. Suppose 0 = -2*x + u + 9, -u - 1 = 2*x - 0. Suppose 0 = x*c + 3*c - 35. Calculate the remainder when s is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvuuwv. What is prob of sequence uv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 10 - 11 + 4)*(-6*z + 3*z + 0*z).\nAnswer: 9*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 2*t - 4*t)*(2*t**2 + 4 - 4) + 3425*t**3 + 989*t**3 + 1075*t**3 to z*t**2 + o*t**3 + l*t + f and give o.\nAnswer: 5487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58840 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*d + 280, 4*z - 4*d - 355 = 705. What is the highest common factor of 455 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9980, 20342, 31102, 42260?\n\"Answer: 199*o**2 + 9765*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.606 greater than 4478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17*q**2 + 3*q + 9*q**2 + 3*q**3 + q - 4. Let t be ((-33)\/(-2))\/11*(-20)\/(-6). Is a(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 15*v**2 - 13*v - 527. Calculate d(-16).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*k*m**3*y**2 + k*m**3 + 356*k*m**2*t*y**2 - 2*k*m*t + k*t*y - 4*m**2*t*y - m**2*y wrt y?\nAnswer: -514*k*m**3 + 712*k*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1059*q**3 + 987*q**3 - 2837*q**3 + 958*q**3 + 1.\nAnswer: 167*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*d + d + 45, -2*d + o = 17. Let t be 1\/d - (-1981)\/6. What is the highest common factor of t and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqp. Give prob of sequence pq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5.12132 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p\/(p*p*p**(12\/5))))))**7*(p**(-18))**46)**(-15\/4) assuming p is positive.\nAnswer: p**(5979\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4025024*w**3 - 29121512*w.\nAnswer: -24150144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 694259647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/15))**48 assuming h is positive.\nAnswer: h**(272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i + 68. Let m be (-1)\/(78\/33) + i\/24. Which is the biggest value? (a) 2\/11 (b) 1 (c) m (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 17*p**2 - 25*p - 3. Let j be n(18). Let h = j - -389\/3. Let u = -0.07 + 0.17. Which is the nearest to u? (a) h (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 39 = 11. Let f be (-1 - (-8)\/l) + 2. Sort 4, f, 0.5 in increasing order.\nAnswer: f, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4674245 and -6526?\nAnswer: 4667719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a kilometer in meters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51015*i**3 + 16974*i**3 + 17025*i**3 + 17015*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20653975 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 106*c + 1488 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let h = -2658 + 7823\/3. Let x = h + 51. Which is the smallest value? (a) y (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1868068, 7472258, 16812568, 29888998, 46701548, 67250218, 91535008?\nAnswer: 119555918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25457700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/24 and -71\/28144?\nAnswer: 84432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705007 is divided by 108.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*s**2 - 184\/7 - 54\/7*s.\nAnswer: -2*(s + 4)*(s + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Let u = -3 + b. Suppose -o + 2*o = u. Solve -13 = 2*a - 5*f, -5*a = f - o*f - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)\/(3\/(-90)). Let n(c) = -12*c + 507. Let x be n(36). What is the greatest common divisor of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 12*c + 35. Determine g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 1)\/(-3 + 2). Suppose -c*p - 1 + 16 = 0. Suppose 2*f + 1 - 21 = -4*t, -f + 5*t = 18. Sort f, p, -3 in ascending order.\nAnswer: -3, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 * 221448\nAnswer: 24580728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16039 is divided by 2934.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(135)\/(sqrt(5) - -1*sqrt(5)))\/(sqrt(108)\/((sqrt(300) - sqrt(12))*-4)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/44 and -151\/1140?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/(z\/z**(-25)))\/z))*z)**(1\/53)*(z**(-1\/2)*z)**(21\/2) assuming z is positive.\nAnswer: z**(1013\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**4 + 163*i**3 + 13*i**2 + 3 wrt i.\nAnswer: -24*i + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -45093.1 to the nearest one hundred.\nAnswer: -45100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-10)*-2*(-48)\/(-40).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1106790, -1106789, -1106790, -1106793, -1106798, -1106805?\n\"Answer: -y**2 + 4*y - 1106793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 44*r**2. Let q be s(1). Let f = q - 25. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 k when three letters picked without replacement from acakltft.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13720.2 + -13720. Which is the nearest to p? (a) -10 (b) 5 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2480*j - 4975*j + 2487*j - 18)*(1 - j**2 - j + 3*j - 3*j)*(1 - 1 + 2*j) in the form b*j**4 + u*j + l*j**2 + v*j**3 + h and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609800 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.33639 to 1 decimal place.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29698 - 13491. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*f - 38 = 0, 58 = -114*n + 111*n - 2*f for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 15*j - 5*j. Let y(i) = -i. Let z be y(-3). Does 7 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j - 6. Let i be v(1). Suppose i = -n + 48 + 59. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(4\/((-96)\/(-18))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 154 (b) 0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040)*6 + sqrt(5040) + sqrt(5040))\/(sqrt(343) + sqrt(343)*-4))**2.\nAnswer: 5120\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 384?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmmmmmmmmmkmkmkmmm. What is prob of picking 3 k and 1 m?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10 - 0. Let b be 0 - 0 - (-2)\/z. Suppose 10 = 3*l - q, 0 = 2*q + 4 + 4. Solve -5 = l*w - b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - 16) + (-1 - -7781). Let q = z + -77917\/10. What is the common denominator of q and 24\/17?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/(4\/(-28) - -1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -32?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002549 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26314?\nAnswer: 2, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 150 = 3*c. Factor 110*n - 17 - 114*n + 2*n**2 - 4 + c.\nAnswer: 2*(n - 4)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.6 - -157.6. Let k = d - 100. Which is the closest to -0.02? (a) -4 (b) k (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131041, 131275, 131509, 131743?\nAnswer: 131977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1619\/27? (a) 2\/5 (b) -6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x - 4. Suppose -x*o = 32*o - 10800. Calculate the highest common divisor of o and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183493?\nAnswer: 281, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3 = -m. Let a(c) = -3*c**3 + 31*c - 30. Let p be a(1). Let t be (p - -1 - m) + 88499*2. What is t rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**1)\/p*p*p\/((p**(1\/5)*p)\/p*p))**6 assuming p is positive.\nAnswer: p**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 4562 = 4563 - 9216 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 - -180. Let m(l) = -6*l - 20. Let p be m(c). Solve 2*v = n - p*n + 8, 20 = -3*n + 5*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941312 (base 11) in base 7?\nAnswer: 60643230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**2 - 70*i + 25.\nAnswer: -5*(i + 5)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -2*t, 0 = 4*w - 65*t + 62*t - 5. Let a(c) = 3*c - 16. Determine a(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 + 2 - -2. Let k be 184\/12 + (-1)\/3. Suppose -k = -2*x - j. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*l - l - 2*l)*(3 + 3 - 7) - 4958 + 4958 + 52*l)*(-19 + 8 + 9) as q + w*l and give w.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.6200274 - 45.62. What is t rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -205 in -5, 0.3, 338?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -926?\nAnswer: 12\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0*m**3 + 8 - m**3 - m**2 + 6*m**2 in the form h + l*m**3 + u*m**2 + c*m and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 146883884 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/120 + l**5\/15 + l**4\/12 - l**3\/6 + 2*l**2. What is the units digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/8916187 and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-4)*m*m)*m**8*m\/m**2*m**(-3\/4)*(((m*m**3*m*m)\/m)\/(m\/(m*m**4)))\/((m*m**(3\/7))\/m**(-5\/7)) assuming m is positive.\nAnswer: m**(451\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47713 + -47712.977959. What is l rounded to four decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5711*a**3 + 121309*a**3 + 73965*a**3.\nAnswer: 189563*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5 + 2*p - 206*p**3 - 5 + 205*p**3. Let d be f(2). Solve t = -d - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/168706335 and -59\/15.\nAnswer: 168706335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-3)\/c))\/(c*c**4))**(2\/25)\/((c**(-1))**31*(c*c*c**(-1))**(2\/155)) assuming c is positive.\nAnswer: c**(4803\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 9*d - 8. Let p be v(-8). Suppose -5*n + 762 + 245 = 4*q, 4*n - q - 793 = p. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 8*o + 10. Let s be m(-3). Which is the nearest to 0? (a) -3 (b) s (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9. Let p(h) = h**3 - 1. Let f be p(j). Is 6 a factor of f + 15 + -3 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 16. Let r be 2 - 4\/d*0. Suppose 5*y - 47 = -5*u - 17, -r*u + 12 = y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*n**2*s + 300*c*n**2 - 2*c*n - 3*c*s with respect to s.\nAnswer: -2*c*n**2 - 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00760287 rounded to five decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (4 - -2 - 13)) + -12 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 + 0.17. Let k be (-22)\/(-5) + 4\/(-10). Sort k, t, 0.5 in descending order.\nAnswer: k, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 17, h: 1}. Give prob of sequence ih.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Calculate the remainder when 4322 is divided by 481.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6468*p + 6471*p + 3*o - 11 = -2*o, 131*o = p + 527 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -220. What is the remainder when 206 is divided by o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 10 = 0, -4*r - 133 = -c - 114 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from qfqqffqfqfqf?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6*z - 45 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178031144 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: Is 150\/(58499\/(-2926) - -15 - (0 - 5)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**5\/(p**(-1))**(19\/5) assuming p is positive.\nAnswer: p**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261583687.\nAnswer: 491, 532757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from eicioo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - 8*u**2 + 3*u + 7. Let g be l(5). Let k = 44 - g. Let n = 3895\/14 + k. Which is the smallest value? (a) -0.2 (b) n (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -4, -5, 491 in decreasing order.\nAnswer: 491, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 divided by 2?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let u(w) = 10*w. Let m(s) = 15*l(s) - u(s). Suppose -2*c + z = 2*z - 9, 0 = -c - z + 7. Let x(p) = -p**c - 5 + 5 + 0*p**2. Give m(x(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*54\/9*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 43*m - 103. Determine a(13).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 + -4 + (-1 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2. Let s(g) = 3*g - 2. Let c(l) = -1 - 6 + 4*l + 6*l. Let f(n) = 2*c(n) - 7*s(n). What is d(f(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 50, -5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 9:58 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 14 = 94 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -14*t + 10*t + 80. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/12536967 and 4\/829.\nAnswer: 12536967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmlm when four letters picked without replacement from lllllllllllmllllll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 greater than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 796 divide 4485646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -2*h - 30. Which is the nearest to 1? (a) h (b) -11 (c) 3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 5. Let g be x(0). Let y(u) = 2*u**3 - 3*u**2 - 10*u - 3. Let v(z) = 5*z**3 - 5*z**2 - 21*z - 7. Let a(w) = -3*v(w) + 7*y(w). What is a(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36\/7 + 5. Let x = -2 - -1.9. Let g = x + -0.4. Which is the closest to 0.1? (a) 4 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85, -144, -213, -298, -405?\n\"Answer: -g**3 + g**2 - 55*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t + 93. Let h be y(-13). Solve h*b - 7*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/(1354 + -1360 - 233\/(-39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -1, 97, -0.5, 1\/4 in increasing order.\nAnswer: -1, -0.5, 1\/4, 4\/5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28938665, 57877326, 86815985, 115754642, 144693297?\nAnswer: 173631950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -14. Suppose 3*i + c*i = 25, -4*o = 3*i - 655. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1035, -1026, -1017, -1008?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*f - 36, 0 = -5*f - 3*x - 0 + 54. Let v be 3 + 1 + -1 + 3. Solve 3*j + f + v = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -16\/7. Let i be 15 + 102\/(-51)*(-52)\/(-8). Put s, -0.3, -5, i in descending order.\nAnswer: i, s, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a factor of 806187753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 - 41*x**2 - 29*x**2 - 39*x**2 + 162*x**2 - 24*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/2))**(3\/2)\/((f**4*f)\/f**(2\/11)) assuming f is positive.\nAnswer: f**(-113\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3103 - -6093. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -3*y. Let f be y + 1\/(5\/(-70)). Let c = f + 30. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = 26*l + 9*l. Calculate the smallest common multiple of l and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 522402*q**3 + 12960913?\nAnswer: 1567206*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -14, 4\/125, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351653169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 23\/27*d**3 - 41*d + 1\/90*d**5 - 10\/9*d**2 + 1\/135*d**6 + 0 - 5\/18*d**4. Factor x(k).\nAnswer: 2*(k - 2)*(k - 1)**2*(k + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/10*-4*1670\/(-334))\/(-45).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1.1. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (2 + (-2483788)\/(-120)). Let k = y - -20698. Let c = -48019\/2708 - 12\/677. Calculate the common denominator of k and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2020 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 2*v + 4. Is 15 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (288\/(-54))\/((-2)\/6). Let k = 26 - c. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/9 + -1)*3. Let i be 0 + -4*2\/(-4). Suppose -10 = -4*j + s, -3*j = 4*s + i - 0. Put j, -1, n in decreasing order.\nAnswer: j, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let f(p) = -20*p. Calculate f(n(s)).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4))\/(w*w*w*w\/w**(3\/11)*w*w) assuming w is positive.\nAnswer: w**(-219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10268?\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 5399*l**2\/3 + 7433504*l\/3 - 392677120\/3.\nAnswer: (l - 2672)**2*(l - 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/12, 187, 2\/5, 1, 0.14 in increasing order.\nAnswer: -0.3, -1\/12, 0.14, 2\/5, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55759 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - m = 98, -10 = -z - 346*m + 343*m. Solve z*n - 70 = 9*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133?\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 29*h**2. Let d(v) = -v. Let z(i) = -i. Let q(y) = -11*d(y) + 6*z(y). What is q(g(c))?\nAnswer: 145*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10)**(-37)\/(b**(-2)\/(b*(b*b*b*b\/(b**11*b))\/b)) assuming b is positive.\nAnswer: b**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/21*-2*21\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:01 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 + 236*r + 4*r in the form d*r + c and give d.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let d = l - 0. What is the nearest to -2\/7 in 4, 4\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -20.4. Let q be (-2)\/(-3) - (-24)\/45. Which is the closest to 1\/2? (a) 2 (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a**2 + 7*a + 26. Let u be i(11). Suppose -q + 4*s = -687, 0*s - s - u = -3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 14287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 363 - 363.5. Let v = 4.55 - 1.55. Which is the biggest value? (a) 1 (b) k (c) v (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**(4\/5)\/t))\/t)*t)\/t**2)\/(t*t**(-1\/4)*t*t)**(-2\/27)*(t*t*t**7*t*t*t)\/((t*t**(1\/6))\/t)*(t**(-2\/3)\/t)**49 assuming t is positive.\nAnswer: t**(-9427\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-3)\/p))**(2\/93)\/(p**(-13)*p*p**(-7\/4)*p) assuming p is positive.\nAnswer: p**(4775\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/218664 and 19\/273330.\nAnswer: 1093320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15052721 is divided by 2150372?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -4 - 52. Let t(n) = -8*n - 28. Let f be t(w). Solve -5*d = -f*b + 4, 5*d + 7 + 21 = -2*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**6 - 10*n**3 - 96*n**2 + 8*n**6 - 4*n**6 + 48*n**3 + 32*n**3 wrt n.\nAnswer: 720*n**3 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(10\/7)\/(x\/(x*x**13*x*x)*x)*(x*x*x*x**(-2\/13))**(-44))**(-10\/7) assuming x is positive.\nAnswer: x**(99920\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.228, -11, -2\/15, 1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024403418 rounded to 7 dps?\nAnswer: -0.0024403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*h**6 + 21*h**2.\nAnswer: -20280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5a432 (base 12) to base 13\nAnswer: -4344b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 63. Let y = q + -11. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Suppose -l*b + 2*n = -641, -2*b = -b - 4*n - 139. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23798682013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 0 - (15 - 39)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 127*r. Let b(g) = -195*g**2. What is v(b(h))?\nAnswer: -24765*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.78 + 2.78. Let j be 3 - (-21)\/(-18) - 2. Sort -3\/2, i, j in descending order.\nAnswer: j, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -10*s - 21. Let q(v) = 109*v - 128. Let d(j) = 218*j - 253. Let w(a) = s*d(a) - 5*q(a). What is the derivative of w(m) wrt m?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**4 + 5*r**3 + 63*r - 3832 wrt r.\nAnswer: -20*r**3 + 15*r**2 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.7 + 22. Which is the closest to 0? (a) l (b) -0.5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 123*w - 396.\nAnswer: 3*(w - 3)*(w + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 4)*(4*i**2 - 5*i**2 + 4*i**2).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28cb61 (base 14) to base 10\nAnswer: 1418145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Let n = 2060.9 + -2061. Which is the fourth smallest value? (a) z (b) n (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2\/8 - 1566615*j - 12532944 = 0.\nAnswer: -8, 4177648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d + 7*d)*(3 + 4 - 5) + (-97 - 18 - 455 + 11)*(2*d + 3*d - 4*d).\nAnswer: -555*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*w, k - 5*w - 15 = -0*k. Suppose -m - k*y = -13 - 4, -4*m + 3*y = 1. Suppose 3*h = -m + 32. Solve -2 = -3*z + h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59b (base 15) to base 11\nAnswer: -a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-611505.9.\nAnswer: -18345.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 13*m - 5*m. Suppose 3*l - 3*j = 0, m*l - 2*j = -j + 6. Let d(b) = b**3 + b**2 - b + 1. Let t(h) = 5*h**3 + 3*h**2 - 3*h + 3. Give l*d(i) - t(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xitxiititixqi. Give prob of sequence qiii.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 1. Let d be j(-1). Suppose w + 3*w - p = 0, -4*p - 21 = 5*w. Let q be (0 - 3\/7)\/w. Are q and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -73. Let u = 38 + 1. Suppose -4*i - u = -5*i. What is the remainder when i is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/13232128 and 17\/3692?\nAnswer: 13232128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o + 3*o + 0*o)*(2*o - 2 + 2) + (-o - 5*o + 3*o)*(2*o + 3*o + 4*o) in the form m*o + i*o**2 + l and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -382*q - 3834. Give m(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 + 7*d - 3. Let g be q(6). Differentiate 147 + 25*p**4 + 158 - g with respect to p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.7 + -18. Let u = 2.9 + o. Let n = u - 2.599954. What is n rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 4*m - 4*m)*(4 - 3 - 3) + (-9 + 2 + 1)*(2 + 2 - 2)*(m + 19*m**2 + 5 - 19*m**2 - 27*m**2) to u*m**2 + z*m + g and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735680.6 years to months.\nAnswer: 8828167.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 1581?\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2793 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20956.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(75) + -2.\nAnswer: -2 + sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3189699.\nAnswer: 3, 53, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 15*q**2 - 40*q + 584. What is c(15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 4.97. Let k = -169 + 129. Let n be (((-3)\/(-8))\/3)\/((-20)\/k). Which is the smallest value? (a) n (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -728*z**5 + 15*z**2 + 8*z + 1. Let n(o) = -727*o**5 + 18*o**2 + 8*o + 3. Let g(k) = 6*i(k) - 5*n(k). What is the second derivative of g(h) wrt h?\nAnswer: -14660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j + 10 = 0. Suppose 0 = -2*b + 4, 2*a + b = 9 + 11. Let i be 12\/a*j\/8. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -77. Suppose h = -4*s - 0*s + 4. List the prime factors of ((-5)\/4*s)\/((-52)\/416).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**31\/(k**(2\/15))**(-1\/7))**46 assuming k is positive.\nAnswer: k**(299552\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-416)\/12)*-3. Suppose 108*x = i*x - 8. Let u = -3 - 0. Sort 3, 0, x, u in ascending order.\nAnswer: u, x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-2\/55))*g**21*g*g**(-2\/109)*g**36 assuming g is positive.\nAnswer: g**(347818\/5995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 2*a**5\/45 + a**4\/6 + 2*a**3\/9 + a**2\/9 + a. Factor x(j).\nAnswer: 2*(j + 1)**2*(4*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12441 and 133023.\nAnswer: 1729299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - 36\/(-15). What is k in -k**3 - 4*k**y - 4*k - 4*k**3 + 2*k**3 + 2*k**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = h - 1027 - 5180, -3*h - 2*b + 18624 = 0. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31876 (base 10) to base 6\nAnswer: 403324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 6*u - 34. Let d be b(-4). Suppose -8 = -6*l + 2*l. Solve -8 = d*x - l*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 5:42 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -407 + 407 - 67*n as q + y*n and give y.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 13*r. Let s be j(13). Let t = 2 - -6. Suppose 0 = 3*o + o - t. Solve o*d + 2*q = s, 8 = -2*d - 4*q + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -113*i**2. Let w(n) = 1 + 3 - 4 - 3168*n**2 + 3157*n**2. Give l(w(p)).\nAnswer: -13673*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r**2 - r - 2*r**2 - 4*r**2 + 3*r**2 - 2*r**2 + 2*r**2 + r**2 + (0*r - r + 0*r)*(-2*r - 3*r + 4*r) + 2*r**2 + 4*r - 4*r)*(r + 0*r - 2*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 957 and 6?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 8, 16, 26, 38, 52, 68?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1376 and -33\/8600.\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-196)\/(-21)))\/(-2*(-75)\/(-40))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2436863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((-6)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3030979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 376 - 375.5. Sort 102, d, -1\/2.\nAnswer: -1\/2, d, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 10\/27 (b) -0.07 (c) 3\/2 (d) -0.01 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*44\/77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 0*r + b = 15, 4*r = -b + 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35421468 divided by -6\nAnswer: 5903578","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/10 and 46\/319?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.901 - 1.301. What is the nearest to 0 in w, 32, -4\/7, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*j - 6, -6 + 2 = -2*i + 4*j. Find the second derivative of 8525*h - 8566*h - 2*h**2 + 13*h**i + 2*h**2 wrt h.\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2. Let w(x) be the second derivative of x**4\/12 - 3*x. Let k(o) = 2*i(o) + 14*w(o). Factor k(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {a: 1, m: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 - 3*x - 3. Let v(q) = -q**2 - 5*q + 4. What is the lowest common multiple of v(-3) and u(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 2. Let p be r(-3). What is the third derivative of -p + 2*d**5 + 1 + 3 - 4*d**2 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -96732976419\nAnswer: -96732976419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 26875 + 3*g - 26875 + 49*g**2.\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 15, -54, 3\/2, -58?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 57. Let k be (-14)\/f + (-1)\/2. Calculate the common denominator of k - (-30)\/14 - 3 and 97\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441056 (base 8) to base 14.\nAnswer: -3bd26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from nrwrrwyrrnwwururrw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 7*o**5\/5 - 3*o**2 - 9. What is the second derivative of j(t) wrt t?\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 4. Give t(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 276 + 54 = 5*x, -3*x = 5*y - 198. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -7?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = -3*l. Suppose l*b - 10 = -2. Solve 0*f + 4*f - b = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5 + 3*i**3 - 4*i**2 - 3 - 6*i**3 - 5*i + 4*i**3. Is d(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13987307)\/(-1475) - 2\/(-25).\nAnswer: 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(8\/7)\/u*u*u)\/u)\/u)\/u)\/((u\/(u\/u**(-1\/12)))\/u*u))\/(u\/(u*u*u**(-3\/11))*u**(-1\/6)) assuming u is positive.\nAnswer: u**(37\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8484680*a**2 + 15527433*a?\nAnswer: -16969360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -4 (b) 11423.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -873 + 17 = 4*s. Let p = s - -213. Is p at most as big as -6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(3*8\/(-12)))\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17387 - 17378. Suppose 0 + 2 = h. Solve h*u + l = -3, -5*u - 5*l + 4*l = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 17118 - 10540. Let n = -131493\/20 + p. What is the common denominator of 13\/18 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -271, -3, 2 in decreasing order.\nAnswer: 3, 2, -3, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 500666043 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 8*m - 20 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 10 + 3*r**2 + 20*r + 7 in the form q*r**2 + i + n*r and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14 + (-30)\/14*(-9)\/(-45).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.99984ml in litres?\nAnswer: 0.05299984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -15. Let c be 8\/204*-3 + (-2382)\/t. Let q = c - 138. Is 2 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 92*x**2 + 237*x - 4643. Calculate y(94).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3370\/3 + -1077. Let m = x - 46. Let o = 4\/83 + 233\/332. Are m and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 4612, 15654, 37166, 72640, 125568?\nAnswer: 199442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708 by -90547.\nAnswer: -708\/90547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6026 is divided by 1105.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -54. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 + -10)\/5)\/(-1*(-6)\/(-34))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 85 = -2*u. Let z = 67\/4 + u. What is the third smallest value in 2, 2\/11, -6, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/20 + 11*j**4\/12 + 2*j**3 - 7*j**2 - 963*j. Give t(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386*f**6 - f**5 - 1520*f**2 - 9 wrt f?\nAnswer: 46320*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 1. Let z be p(1). Let k(a) = -2*a**3 + a - 7*a**2 + 3*a**3 + a**3 - a**z. What are the prime factors of k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341106 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16313647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*n**3*u + 8925*n**3 + 3*n*u + 27348*u - 25 wrt n?\nAnswer: -12*n**2*u + 26775*n**2 + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 61, 10, 2 in increasing order.\nAnswer: -3, 2, 10, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4034 + 4040. Which is the smallest value? (a) 5 (b) -4 (c) y (d) 0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -877 and 6.1537.\nAnswer: -870.8463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.023 + -20.023. Let x = u - -20.5. Which is the smallest value? (a) 1\/3 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 4, k: 2, a: 3}. What is prob of sequence an?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 + 30084*d**2 - 300865*d + 2256550\/3.\nAnswer: (d - 5)**2*(d + 90262)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 20*u + 8 = 0. Let q be 2*((-55)\/(-10) - u). Suppose -79 = -2*m - 2*m - 5*z, -5*m = -3*z - 71. Solve -m = -q*k - k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6817, -5744, -4627, -3466, -2261?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415097194?\nAnswer: 2, 17, 227, 53783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 407 or 43134?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -5*s + 29*r, 3*s + 2*r - 649 + 674 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*n - 1 = 0, -3*f + n = 1 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 100, -1\/5, -4\/7, 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 4 - ((-13 - -24) + -161). Suppose -5*d = -8 - 52. What is the greatest common factor of j and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405.942mg in grams?\nAnswer: 5.405942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (4 - 11 - -9) + -7 + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/4 - 7*o**3\/3 - 5*o**2 - 5*o - 78. Let s = 230 - 160. Calculate the remainder when s is divided by l(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63012*b**3*t**3 + b*t**3 + t**3 - 4825*t**2 + 8*t - 3 wrt b?\nAnswer: -189036*b**2*t**3 + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9811 - -9810.5. Sort -28, -3, f in descending order.\nAnswer: f, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -57, -63, -69, -75?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/4 - 5*c**3 - 8*c**2 + 7*c + 7. List the prime factors of m(-14).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324168.\nAnswer: 2, 3, 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + (11 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*k - 205 = -1324*k - 5*x, -5*k - x = -57 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-j + 2 - 2) + 7 - 21*j - 7 + 3*j - 2*j + j + (1 + 4 - 4)*(1 + 2*j - 1).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 8, -5*z + 6 = g - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2272, 9078, 20424, 36310, 56736, 81702, 111208?\n\"Answer: 2270*j**2 - 4*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - 60162\/814)*-66.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*t + 30, -q - 2*t - 12319 = -12341 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/20 - z**4\/8 - 5*z**2. Let m(g) = -g**3 - g. Let t be (-3)\/(-12) - 3\/(-4). Let h be m(t). Determine l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9))**(4\/7)\/((t*t**(-1\/8))\/(t**(1\/25)*t)))**(2\/7) assuming t is positive.\nAnswer: t**(479\/44100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1959 by -3.\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 9:39 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 3*l + 5, -3*t - 3*l + 8 + 13 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:41 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 7*d + 2. Let h be y(7). Suppose -s = -14 + 9. Let q(a) = -7*a**2 + 2*a + s*a**2 - h*a. Let r(c) = 4*c**2. Calculate r(q(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-48)*30\/(-630)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - o + 21 - 7, 5 = -5*o. Which is the nearest to -0.2? (a) q (b) 1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z**3 - 2*z**2 - 2*z - 2. Let a(w) = w**3 - w**2 - w - 1. Give -2*a(k) + b(k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1082550 and 32550?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 625*23\/115*-13. Which is the closest to -1? (a) -3\/2 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -9*w**2\/2 - 17*w + 4745. Let f(m) = 3*m + 6. Let p be ((-30)\/(-25))\/(3\/(-10)). Calculate p*y(z) - 11*f(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 50144*f**2 + 8. Let c(a) = 16715*a**2 + 3. What is -8*c(b) + 3*s(b)?\nAnswer: 16712*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - 2*p + (4 + 0 - 3)*(2*p - 2*p + p) + 4*p - 3*p + 0*p)*(32 + 21 - 8).\nAnswer: 180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9704016 and -131\/15249168?\nAnswer: 106744176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36 and 3.79?\nAnswer: 1.3644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 + 395*k**2 - 4. Let s be x(79). Let n(h) = -5*h + 3. What is n(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 - -2.2. Let m = 9 - 3. Let w = m - 6. What is the closest to b in 0.3, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 1, e: 3, t: 5, z: 5, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.161 + -5.3. Let p = -0.21 - q. What is p rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52984 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-5)\/(sqrt(12)\/(-4*sqrt(4)))*-1*-1.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 7. Let g(y) = 5*y + 6. Calculate 5*g(h) + 4*o(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/2283 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usp when three letters picked without replacement from suppu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57893 and 13376.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**3 + 35 - 36*u**3 - 6 - 55 + 26.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 35*j = a - 3, j - 3 = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787693.\nAnswer: 37, 61, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -852*x + 789*x + 126. Solve x*o + 94*o = 192 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410696.\nAnswer: 2, 11, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21606351 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1328 and 16?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7964 - 7129. Which is smaller: t or 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnnnnjnnnnnjnnjnj. What is prob of picking 4 j?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2898)\/3059)\/(1\/19)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4572156 (base 10) to base 12.\nAnswer: -1645b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5 - -8) + (0 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 54. What is the tens digit of -4 + x + 107 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 263*h**2*v**3 - 3*h**2*v**2 + 2*h**2 + 3*h*v**4 + 53*h wrt v.\nAnswer: 1578*h**2 + 72*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byby when four letters picked without replacement from bbyybbbybb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5770\/1284 + (-2)\/(-3). Let t = -110 + 35308\/321. Let d = t - b. Find the common denominator of d and -25\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48.1 (b) -3 (c) 766677\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-four fifths of a meter?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33969, -30380, -26789, -23196?\nAnswer: -19601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 89467958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Suppose 3*u - 31 = -2*u - 3*f, 2*u = -s*f + 14. Let w(a) = -a**3 - 4 + u - 2*a**3 + 2*a**3. Calculate w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 16263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 0.1 (c) 1 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2 - 1, 3*t = 5*r - 21. Is t\/((-4144)\/(-2076) + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (1 + 1)) + 4. Suppose 5*z + y*v = 394, -5*z - 4*v = -253 - 139. Let l = -71 + z. What is the lowest common multiple of l and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 3. Let h be b(-7). Let p = 40 - h. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 228018\/(-290) - 4\/(-20). Let c = 786 + j. Let g = 1 - 2. Is c greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-156)\/(-104) + 38\/(-36). What is the closest to -0.6 in 0.5, -3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*o - 45*o = 85 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20046*u**5 - 27*u**4 - 17*u - 149148.\nAnswer: 400920*u**3 - 324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0367 or 1?\nAnswer: 0.0367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 167 * 3.4\nAnswer: 567.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78875 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/9)\/((-4)\/18). Let i = n + 53. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*x - 137*x + 184 - 9*x + 36*x - 67*x wrt x?\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2027, 4055, 6083, 8111?\nAnswer: 10139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/30 + 52\/(-30). Let j = -26.03 - -0.63. Let o = -25 - j. Which is the second biggest value? (a) o (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239460558300 to the nearest one million.\nAnswer: 239461000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -45. Which is the second smallest value? (a) -4 (b) 3\/2 (c) -0.1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335 is divided by 1665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52285.15 rounded to the nearest one hundred?\nAnswer: -52300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316*v**2*x**4 - 6*v**2*x**3 - 306*v**2 + 3*x wrt x?\nAnswer: -3792*v**2*x**2 - 36*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-12))\/((-3)\/(-9)). Let z(k) = -15*k - 2. What is the remainder when z(i) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.35 rounded to zero dps?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 582.\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(288) + -1) + -1)**2*-4*6.\nAnswer: -62304 + 3456*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1791 (base 10) to base 15.\nAnswer: -7e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 14040.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrzr when four letters picked without replacement from rzggggzgzzr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -0*q. List the prime factors of q*-2*(-3)\/(-6) + 63.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**9\/5040 + x**8\/1120 + x**7\/210 - x**6\/30 - 65*x**4\/6 + 2*x - 15. Let s(i) be the third derivative of q(i). Factor s(z).\nAnswer: -3*z*(z - 2)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + 4\/24. Let z = -69 + 72.3. Let m = z - -1.7. What is the closest to 3\/5 in m, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 + 2817*t - 5*t**2 - 2817*t.\nAnswer: -19*t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/11)*r*(r*r*r\/(r\/r**(-16))*r)\/r*(r*r\/((r*((r**(-9)*r)\/r)\/r*r)\/r)*r*r)**(2\/105) assuming r is positive.\nAnswer: r**(-14624\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2467556 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from {a: 1, p: 2, h: 1, m: 3, d: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.4806ns in seconds?\nAnswer: 0.0000001734806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*z**2 + 1296*z**2 - 670*z**2.\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.5, -0.5, -2, 4 in decreasing order.\nAnswer: 4, 0.5, -0.5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (413\/354 - 43\/6)*(-1)\/(-303)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Let m be t(1). Suppose 6*l - 3*c = 3*l, m*l - c = 0. Let b be ((-8)\/(-4))\/(l + 5). What is the closest to b in -5, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1527 divided by 1.\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.19 - -1.69. Put u, 0.037, 0 in descending order.\nAnswer: 0.037, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1340560, -1340564, -1340568?\nAnswer: -1340572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 5836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 1771\/15. Let f(z) be the third derivative of j*z**5 + 0*z + 0*z**4 + 0*z**3 + 2*z**2 + 0. Let m(t) = -2*t**2. Calculate m(f(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 + 34*m**2 + 4485*m\/4 - 4761\/2 = 0 for m.\nAnswer: -69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33305 by -33305.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00178709 to five decimal places.\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*y - 3*j, y - 949*j + 19 = -946*j for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169643\/22 - -7711. Which is the second biggest value? (a) s (b) -0.1 (c) -1 (d) -2 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmrmmmmvrrmmmrvmvr. Give prob of picking 2 m and 2 v.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24860.5 rounded to the nearest one hundred?\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01952 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 11*o - 40. Let z = -9658 - -9656. Sort o, -1\/3, z in decreasing order.\nAnswer: o, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s**3 - 14*s**2 - 15*s + 1. Let f be y(-3). Let m = 58 + f. List the prime factors of m.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243877.2 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and 16.47.\nAnswer: 2437.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 625\/3, 8, 1\/2, -8, 0.3, -3, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 42*r**2 + 2*r - 2. Let w(a) = -126*a**2 - 7*a + 7. Determine 21*l(o) + 6*w(o).\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 5, -64\/19.\nAnswer: -64\/19, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 102*j**3 - 53*j**3 - 47*j**3.\nAnswer: 2*j**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5841514 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1337930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)\/((-1)\/1). Let l(c) = c. Let i be l(1). Let f = -3.1 + 5.1. What is the nearest to i in 5, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21785.54cm to nanometers.\nAnswer: 217855400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**6\/u*u)\/((u*u**(1\/5)*u*u*u)\/u*u))\/((u**(-4)\/u)\/(u*u*(u\/u**0)\/u)))**(20\/9) assuming u is positive.\nAnswer: u**(176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deeyyddeded. What is prob of picking 3 d and 1 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108)\/sqrt(6) - sqrt(18)) + sqrt(108)\/(sqrt(6)*3))\/((3*((sqrt(486) - sqrt(486)*1) + sqrt(486)) - sqrt(486)) + -1*1*sqrt(486)).\nAnswer: 4*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.266 - 9.266. Which is the closest to k? (a) 0.2 (b) -18 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6\/13*a**2 + 6\/13*a + 2\/13 + 2\/13*a**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -325\/33 + 90\/11. Let s(k) = -2*k**2 - 36*k - 15. Let q be s(-16). Suppose 26*g + q = 153. Put n, g, -2 in increasing order.\nAnswer: -2, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25050*b + 101558 wrt b.\nAnswer: -25050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2339.005 - -1318\nAnswer: 3657.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39603*u**2 - 9120442*u?\nAnswer: 79206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*b - 7 = -26, -4*b + 13 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 2*s**2 + 3. Suppose -4*t + 3 = -5*t. Let g(k) = -10*k**3 + 10*k**2 - 14. Give t*g(f) - 14*u(f).\nAnswer: 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -48, -101, -154?\n\"Answer: -53*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131 (base 10) to base 11.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + 12 + (-4 - -8) - (4 - 13)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 491 - 295 = 5*d, 4*z + 3*d = 1019. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 16. Let q be c(-11). Solve 3*a - 5 = 1, -q*a = -2*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 311 - 157. What are the prime factors of m?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/624069 and 11\/34115772.\nAnswer: 102347316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -631 - -1?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -46. Solve -r*c + 2*p = -22, -3*c + 5*p - 2 + 19 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68141?\nAnswer: 68141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/8 - 17*o**2\/2 + 365*o\/8.\nAnswer: -o*(o - 5)*(o + 73)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 0.5, 11, 32, 2\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6687.372 kilometers to millimeters.\nAnswer: 6687372000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 - 1 = 0. Let a = 102.4 - 102. What is the nearest to s in a, -0.3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -0.4 (c) -1\/6 (d) 1.3 (e) -2401\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(39)\/sqrt(75)*5 + sqrt(325) + sqrt(325)*-2 + -5)**2 + 0.\nAnswer: 80*sqrt(13) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let w(i) = -46260975*i. Determine s(w(r)).\nAnswer: -46260975*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 14. Determine n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14330345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -35. Let t = 17.39773333 + -1.39773643. Let l = r - t. What is l rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123796456*3.\nAnswer: 371389368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 867 and 60855597?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -207, -238, -313, -444, -643?\n\"Answer: -2*b**3 - 10*b**2 + 13*b - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -29\/15, -5, -60, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(450) - sqrt(450))\/(sqrt(50)\/sqrt(320)).\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 8:20 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001010 + 2122210112?\nAnswer: 2111202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398668613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1297, -2558, -3819, -5080, -6341?\n\"Answer: -1261*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -4 (c) 1\/4 (d) 0.2 (e) -0.173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351964647 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38171 - -83837. Calculate the highest common factor of 354 and u.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189851.\nAnswer: 189851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-8))\/((-4841)\/(-376) + -14).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1406, 2, -5.\nAnswer: -5, -3, 2, 1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -94780*p + 47178*p + 4*p**2 + 47258*p = 0. Calculate p.\nAnswer: 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*t**4 - 125*t**3 - 5*t**2 + 10*t + 234102 wrt t?\nAnswer: 2748*t**2 - 750*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. Suppose y = -c*y + 76. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 + 9*u - 351. Let v(q) be the third derivative of -q**5\/60 - q**3\/2 + 7*q**2. Give -3*m(z) - 8*v(z).\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 1\/5 (b) -185 (c) 28.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + a + 16 + 37 + 32 + 69 in the form l*a + m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 13*i - 8. Let n be b(13). Let s(m) = -m**2 - 7*m + 8. Let f be s(n). Solve -5*t - 6 - 19 = f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-30)*10 + (8172 - 1). Suppose -2*p - 3*p = 4*o - d, -3283 = -2*p + o. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98680 and 107840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**8\/3360 + x**7\/560 - x**6\/360 - 5*x**3\/3 + 7*x. Let k(q) be the second derivative of f(q). Solve k(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - (125 - 173)) + (-2)\/(((-6)\/(-231))\/(-1)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -6, -34, -82, -156?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 - 11*b**2 + 1\/6*b**3 - 1\/20*b**5 - 14*b + 25\/12*b**4. Let j be o(25). Solve -5*v - 2*r = -5, -v + 4*r = j*v + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -99, -247, -507, -915?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108855247 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 4) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2\/(h**(-2\/7)*h))\/((h\/h**(-3))\/h**(-4\/7)))**(5\/7))**(-7) assuming h is positive.\nAnswer: h**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 - -212. Suppose -2*o + 11 = d, -18*o = -r*o - 4*d + 8. Solve -2*n + o = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 10*g**2 + 17*g - 169. Determine m(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8651, -18825, -30529, -43757, -58503, -74761, -92525?\nAnswer: -111789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(35))\/sqrt(7) + 5).\nAnswer: -4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4394, 1, 2424.\nAnswer: -4394, 1, 2424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:10 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t + 94. Let o be f(-13). Which is the smallest value? (a) 4\/7 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 12*b**2 - 10*b**2 + (3 + b - 3)*(-3*b - 3*b + 4*b) + 2*b**2 + 2*b**2 + 19*b**2 to the form o*b**2 + w + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*q + 272*q = -264*q + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -805?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y + 52. Suppose 6*m = y + 1. Solve m*w = -0 - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q**3 - 268*q**2 - 852*q - 360 = 0 for q.\nAnswer: -30, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let d = -21 - -15. Let t be 1\/(-2) + d\/4. What is the second biggest value in i, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 39. Suppose -f*g = -6*g + 116. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 + 2 = 0. Let u be (3\/3 - l)*-8. Let n be 16\/u - 7800004\/(-6). What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 11:34 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = -36510. Let p = -8533 + g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -559379.\nAnswer: 10\/559379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 17. Let x be l(-16). Suppose a + x = 6*a - 3*i, 5*a - 87 = -3*i. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose y = 3*h - 0*h - 84. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 305049?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 28 = 4*f, 2*k = -2*f - k + 11. Let y(n) be the first derivative of -n**3\/3 - n**2\/2 + n + 1. What is y(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 6*r**2 + 8*r - 5. Let a(v) = -3*v - 22. Let g be a(-10). Suppose g*j - 6*j - 10 = 0. What is the lowest common multiple of 6 and o(j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2 - 104\/2. Let n be (10\/8)\/(s\/(-66)). What is o in -1\/2*o**2 + 0 - n*o = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478005665 to the power of 1\/3, to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 21.8487.\nAnswer: -10.92435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 5496 = -24*h. Let j = -877 - h. What is the third derivative of -27*b**2 + 13*b**3 - j*b + 955*b wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126869887 divided by 5.\nAnswer: -126869887\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/21*24\/20. Let c be ((-1)\/g + 2)\/(6\/400). What is the highest common divisor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 33*h - 495. Determine u(44).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, d: 12}. What is prob of picking 2 r and 2 d?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2\/(-14)*2). Is 5 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 8*o + 4. Let z be d(8). Let k = z + -10. Let f = 14 + k. Solve -w = w + f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/80737 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -c + 2*c. Let k = 97 + c. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1200?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*m*o**3 - 60*b*m*o - 29*b*o**3 - b*o**2 + 2*b*o - 582*m*o**3 - 8915*m - 2*o**3 - 1 wrt o.\nAnswer: 6*b*m - 174*b - 3492*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002215377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 + 1546445*o**2 - 6185700*o = 0.\nAnswer: 0, 4, 309285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5036146091689 and 4.\nAnswer: 5036146091693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1121 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**3 + k**2 + k. Let r(x) = -4*x**2 + 2*x**3 + 8*x**3 + x + 5*x**2 + 0*x**2. Calculate -7*a(m) + 5*r(m).\nAnswer: m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13264 + -11797. Which is smaller: c or 1469?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0.159, -230, 5\/3, -0.3 in descending order.\nAnswer: 3, 5\/3, 0.159, -0.3, -3, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44082439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 c when four letters picked without replacement from {b: 5, c: 2, y: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(91) + (sqrt(91) - 3*(sqrt(91) + 2*sqrt(91))))\/(2*sqrt(700)))**2.\nAnswer: -7*sqrt(13)\/2 + 10637\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**3 - 61*u**2 - 152*u + 26. Calculate w(-3).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 184, 296, 426, 580, 764, 984?\n\"Answer: d**3 + 93*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 5*v + 10. Let m be x(2). Which is the nearest to 9? (a) -1\/2 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -65.\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686) - ((sqrt(686) + sqrt(686)*2)*1 + sqrt(686)))\/(sqrt(242) - (sqrt(242) + -2*sqrt(242)*-1)).\nAnswer: 21*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -4 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = 0. Suppose -5 = n, -93*b + 4*n = -88*b - 35. Suppose m = -b*j + 128 + 109. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -7*d. Let x(h) = h**3 - h**2 - 6. What is x(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22286.63ml to litres.\nAnswer: 22.28663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 12. Let b(n) = 102999*n - 1. Let f be b(o). Round f to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4719 - 437?\nAnswer: 42a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196\/39 - 3322\/273. Find the common denominator of 83\/15 and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/(-175) - (-2)\/(-21)*-3. Suppose 10*l = 5*l - o + 2401, l + o - 477 = f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*w - 73 = w, 2*u - 5*w = -57. Let p = u - -13. Let b = -5 - p. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 37*r - 110*r - r**3 + 34*r - 18 + 40*r to the form q*r + c + k*r**2 + y*r**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - j. Let d be s(1). Let v(u) = -u**3 + u**2 - 3*u + 3. Let b(l) = -l + 1. Determine d*v(w) - 3*b(w).\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 30*i - 21. Let m be o(7). Let x be ((-33)\/(-6) + -4)*(-84)\/(-9). What is the highest common divisor of x and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.307538 rounded to two decimal places?\nAnswer: -11.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 60 = 2*r + 5*t, -3*r - 45 = 3*t. Is 5 a factor of 6\/(-15) + (-156)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 1, b: 1, t: 1, i: 4}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6882 divided by 5?\nAnswer: 6882\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-1 + (-2 - 3*-4)). Let z = v + 11. Suppose j - 102 - 114 = z. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, q: 5, x: 2}. What is prob of picking 2 x and 2 q?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 621 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 2. Let x(i) = i + 8 - 4 + i**2 - 3. Determine 2*h(k) - 4*x(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 10*s + 8. What is b(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 4*i - 23*i**4 + 1 + 23*i**4 + 4*i**5 + 75*i - 75*i + (-i**3 + 3*i**3 - i**3)*(-5*i**2 + i**2 + 3*i**2).\nAnswer: 2*i**5 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283224?\nAnswer: 2, 3, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - 6) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 240120301 (base 5) to base 14\nAnswer: 20830d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 12 = -14*p. Let f(q) be the second derivative of 3*q - 1\/30*q**3 + 0*q**p + 1\/60*q**4 + 0. Suppose f(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.7 + -8. Let m = 0.06 + 4.94. Let d be (-2 - -3) + -2*1. Which is the second biggest value? (a) h (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713 <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2899*f = 2896*f. Let d(v) be the second derivative of 2*v + 9\/2*v**2 - 1\/2*v**4 + f + 1\/3*v**3 - 1\/20*v**5. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48085 plus 3.84?\nAnswer: 3.35915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikp when three letters picked without replacement from xxpkxxikxkkxkkk?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 474408 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780 by 26.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let x(h) = h**2 + 3*h + 2. Let n be x(i). What is the highest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 14*z**4 + 66*z**3 + 124*z**2 + 101*z + 30.\nAnswer: (z + 1)**3*(z + 5)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538941 is divided by 490?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4792 + -4791. Sort -5, 1\/10, c, 1.4 in ascending order.\nAnswer: -5, 1\/10, c, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*a**2*d**3 - 3*a**2*d*s - 4*a*d**3*s - d**3*s**2 + 357*d**2*s**2 + 12*d**2 wrt d.\nAnswer: -162*a**2 - 24*a*s - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/5*(-120)\/(-72). Solve 3*a - z*m + 11 = 0, 32*a + 4 = 30*a - 2*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from zllpzxmx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*914\/(-4) + -17 + 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/5 - 501*j**4\/5 - 12399*j**3 + 189001*j**2\/5 - 190008*j\/5 + 63504\/5.\nAnswer: -(j - 1)**3*(j + 252)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Suppose y*i + i + 200 = 0. Let l = 80 + i. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -470741.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203688 and 1953666.\nAnswer: 320401224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 26, 57, 108, 185, 294?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -11*v. Suppose v*j + 45 = 5*j. Calculate the remainder when 34 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50541, 95302, 128495, 144336, 137041, 100826?\nAnswer: 29907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -68645*z**2 + 17*z + 68644*z**2 - 17*z. Let b(h) = -2*h - 1426. Determine b(d(j)).\nAnswer: 2*j**2 - 1426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 5*h + 2. Let q be s(-5). Let w = 5 - q. Solve -1\/3*o**4 + 2\/3*o**w + 1\/3 + 0*o**2 - 2\/3*o = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 7) in base 16?\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 20 = x, -10 = -9*x + 8*x - 3*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {u: 2, y: 2, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + i - 37, -5 = -i. Suppose 0 = -j - 2, 2*n + j = -j + w. Suppose 0*c - 2 = -c. Solve -c = 2*u - 0*u, 2*u = -4*l - n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 4 (b) -13 (c) -34 (d) 9\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d**2 + 63*d**2 - 122*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 10. Let t be b(13). Solve -t*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -38*q + 6. Let w be d(-4). List the prime factors of w\/8 + 12\/(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1076*n**6 + 36*n**5 + n**3 + 540570*n**2?\nAnswer: 129120*n**3 + 2160*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6303627 and 19602?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 - 10 = 0. Let v(a) = -a**3 - 4*a**2 - 3*a - 6. Let p be v(w). Suppose 2*j = -2*x + p*j + 10, 25 = 5*x + 2*j. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*b**3 - 190*a**4*b - 9*a**2*b**3 - 19*a*b**2 - 2*b**3 wrt a.\nAnswer: 48*a*b**3 - 4560*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 2*t)*(3 + 0 - 4 + (-2 + 1 - 1)*(2 + 4 - 4))*(35*t + 40*t - 8*t).\nAnswer: 670*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 217666\/(-129)*123\/(-2). Let p = 56571 - g. Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 3*u + u - u)*(4*u - u - 2*u)*(-274*u - 422*u - 141*u).\nAnswer: 1674*u**4 + 2511*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -87*f**2 + 424*f + 575. What is d(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*h - 46 = 14, 0 = 3*h - 12. Let u = -4700 - -4700. Is y greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(60)\/(sqrt(12)*1)) - ((sqrt(3) + 0)*-5 - sqrt(3) - (-1 + sqrt(27))).\nAnswer: -1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-175))\/((-1)\/7 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -145*f - 466. List the prime factors of q(-30).\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 57810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -187.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776426985?\nAnswer: 3, 5, 23, 250057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 2*n**2 + 14*n + 8. Let g be k(5). Suppose g*d + 204 - 62 = 5*l, 22 = l + d. Calculate the remainder when 126 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 5)\/(315\/(-36)). Let j = o - 6\/7. Which is the third smallest value? (a) -1\/7 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1150+1010800\nAnswer: 1011950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-1*-3 + 5.\nAnswer: 5 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -69 - 1 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from jdpfp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15907.7 - 15908. Which is the fifth smallest value? (a) n (b) -8 (c) 33 (d) 0.5 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(1\/7)*l\/l**(-14)*l**(-12\/11)\/l**(1\/2) assuming l is positive.\nAnswer: l**(2395\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723280 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-85184)\/(-40) - 26\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - -14?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 3*z**2 + 3*z**2 + (82 + 90*z - 82)*(z - 4*z + 4*z).\nAnswer: 91*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-740)\/(-1665) - 676203\/(-27)?\nAnswer: 5, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 46.6?\nAnswer: -41.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 228426 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 12*i**2. Let m(w) be the third derivative of 0 - 21*w**2 + 1\/12*w**4 + 0*w**3 + 0*w. Give t(m(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10. Let p(n) = n - 30. Calculate 8*k(c) - 3*p(c).\nAnswer: -3*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 9}. Give prob of picking 1 j and 1 m.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3596 divided by 19?\nAnswer: -3596\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548832458?\nAnswer: 2, 79, 16131851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m - 540. Suppose 27 = 29*o - 26*o. What is the smallest common multiple of (3\/5)\/(9\/m) and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 3:36 PM?\nAnswer: 651","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/(-6))\/(2234\/27925)\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 s when three letters picked without replacement from syyysyyy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 7*n - 1. Let g be l(7). Let m = 0.2 + 0.1. What is the nearest to g in -3, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/44 and 35\/(2904\/(-36)*-3).\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2526, -5049, -7572, -10095?\n\"Answer: -2523*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1923000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 150 = 0. What is the greatest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*i**2 - 1 - 2 + 0 + 5 as o*i**2 + g + t*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1485911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(18\/48). Suppose 30*n = 396 + 84. What is the units digit of (4 - 5)*1000\/(n\/z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 1931*n**8\/336 + 1595*n**4\/12 - 1761*n**2. What is the second derivative of j(g) wrt g?\nAnswer: 38620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-25)*(86 + -1). Suppose -4*q - s = -5*t, -2*q - 25 = -t - 2*t. Calculate the common denominator of 39\/22 and (-79)\/q*(7 + -6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/((-159)\/(-21)) + (3 + 14\/(-4))*38.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 + -368.5. Round y to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039432082 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 3. Let v(p) = -p + 1. Determine b(s) + 5*v(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1.1.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*m - 62 + 114 - 48 in the form y*m + j and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*556\/(-417)*(-27)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1100, 2152, 3382, 4868, 6688, 8920, 11642, 14932?\nAnswer: 18868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a. Let w(u) be the first derivative of u**4\/24 + 3*u**2 + 5. Let n(t) be the second derivative of w(t). Give x(n(r)).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*-1*4\/(-10). Suppose s*q - 9 + 3 = 0. Suppose 2*r - 13 - 1 = 4*d, 5*r - 42 = q*d. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 11 = -4, -l - 109 = -4*d. Let o = 45 + -37. List the prime factors of 192 - (3\/12 - d\/o).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5\/3 (b) -5\/6 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 588*z**3 - 13*z**2 + 13*z - 1. Let r(m) = -1176*m**3 + 27*m**2 - 27*m + 2. Let k(t) = 5*a(t) + 2*r(t). Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t + 1 + 40 - 89. Let w be (-6)\/(-6) - 7*-2. Suppose 3*h - w = 2*l, 3 = 3*h + l - 12. Solve -2*z - h*m - 21 = 10, -m - t = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -0*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/12 + m**2. Let i = -19 - -14. What is the units digit of b(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 7776*w - 109256.\nAnswer: 2*(w - 3902)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777313948.\nAnswer: 2, 5087, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001422637 rounded to 7 dps?\nAnswer: -0.0014226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 1 + 1 + (-2 + 4 + 0 + (-5 + 1 + 3)*(-5 + 4 + 2))*(34*c**2 - 900 + 900)*(1 + 2 - 5)*(1 + 1 + 0) as a + t*c**2 + m*c and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*z + 65*d - 64*d, 5*z + d = -22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-3)\/j)*j)*(j\/j**(-8))\/j)\/(j**16\/((j\/(j*j**(2\/11)))\/j*j)) assuming j is positive.\nAnswer: j**(-145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one sixths of a week?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 398, 397, 396?\n\"Answer: -s + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1086.88 - 9.88. Let j = -1076.99998606 + t. Round j to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*d + 5 + 7, 4*d - 4 = 0. Suppose 3*r - 313 = -6*c + 2*c, -g*r = 20. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-12)*34\/(-255)*40\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 113595924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 1.297.\nAnswer: 2.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-5)\/(-3))*(-45)\/(-2). Suppose 0 = -g*s - 1 + 271. What is the remainder when 138 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -60*p. Let w(o) = -9524*o. Calculate w(a(z)).\nAnswer: 571440*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101 (base 2) to base 12.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 398*u**2 + 5*u + 3586?\nAnswer: 796*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -5. Let t = -0.5 - 5.5. Let x = t - q. What is the biggest value in x, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300048)\/(-20615))\/(-141) + (-5)\/(-25).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 - 114 = 0. Find the common denominator of 32 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627.9 rounded to the nearest ten?\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 2. Let c(h) = -19*h**2 + 9*h - 2. Let d(u) = 16*u**2 - 8*u + 2. Let b(s) = 8*c(s) + 9*d(s). Determine b(z(o)).\nAnswer: -72*o**2 + 96*o - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -15 + (-2 + -2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -203420.3?\nAnswer: -1017101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/(-9)*219\/(-73).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 117*(-3)\/(36\/(-8)). Suppose -h = 5*y - 0*h - 98, 4*y + h - x = 0. Suppose -180 = -4*r - y. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 + 8591752*u + 34366944 = 0.\nAnswer: -2147934, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2103 (base 4) to base 9\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1)*(-2)\/(-6). Let f be (-1 - 0 - x) + 1. What is the units digit of (f\/(-1))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204545784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3173526792 to the nearest integer?\nAnswer: 56334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 - 7*f - 6. Suppose 24 = -5*c - 1. Let x be d(c). Suppose 9*r - x = 8*r. What is the greatest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43854 - -0.2749?\nAnswer: -43853.7251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agfp when four letters picked without replacement from {p: 1, a: 1, y: 8, g: 6, f: 1}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (4 - ((12 - 2) + (-14 - 0)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10683*g - 10691. Let c(n) = -21367*n + 21376. Let h(x) = -6*c(x) - 11*p(x). Differentiate h(q) with respect to q.\nAnswer: 10689","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 25 = 0, -3*m - 2*y = -22. Suppose -8 = 4*x - z, z + 0 = -2*x - m. Let k(p) = 113*p**3 + 4. Let t be k(x). Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/19554 and -26\/48885?\nAnswer: 97770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h + 5. Let g(n) be the first derivative of -5*n**2\/2 - 6*n - 132. Suppose -10*f + 315 = 365. Determine f*t(x) - 4*g(x).\nAnswer: -5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppbgppbbkpppp. What is prob of sequence gpp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -1.9. Let z be 1\/(25\/(-101))*(-155)\/1488. Let k = z + -1\/48. What is the closest to 2 in 3, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -74, -5 in increasing order.\nAnswer: -74, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02511 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*d + 55, -68*d = -71*d + 2*z + 37. What is the remainder when 371 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**3 + 6*h**3 - 4*h**3)*(7 + 2 - 1)*(4*h - h - h) to x*h**3 + c*h**2 + p*h**4 + y*h + n and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11 = -55. Is 16 a factor of ((-9)\/(-9))\/((-2)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38150773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 230742 divided by -2?\nAnswer: -115371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86d2 + c6?\nAnswer: 87b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 569 - 181 = -3*c + 13*c, -5*c = -4*b - 188 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58477622*b**5 + 29*b - 1738690?\nAnswer: -1169552440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4900)*1*-6)\/((sqrt(567) - (-1*sqrt(567)*-1 + sqrt(567))) + (-1*sqrt(567) + sqrt(567) - sqrt(567))*6 + sqrt(567)) + -3.\nAnswer: -3 - 10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069487304 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28560045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**3\/2 - 78345*a**2\/2 - 274405*a + 1175700 = 0.\nAnswer: -10, 3, 15676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let a(f) = -f**3 + 5*f**2 + 8*f - 9. Let v be a(6). Solve -r*b - 1 - v = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9870, -1\/3, -0.3?\nAnswer: -9870","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.3 (b) -2\/13 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 326, 512, 720, 956, 1226, 1536, 1892?\nAnswer: 2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7.5. Let m = -0.5 - y. Let w = -3.066 - 0.934. Which is the smallest value? (a) 0.4 (b) w (c) m (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*170\/60*(-15)\/(-60)*-4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116255747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 3*j**2 + 2*j**2)*(5*j - j**3 - 5*j) + 2*j**2 + 179*j**5 - 178*j**5 - 6*j**2 + 6*j**4.\nAnswer: -j**5 + 6*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 9) to base 3\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 - 32*f - 8. Let k be c(-13). Let s be 3\/(105\/k) + (-2)\/(-10). What is the second derivative of -6*z - 7*z**4 - 29*z**4 + s*z + 4*z wrt z?\nAnswer: -432*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4*p - 1 - 3*p)*(-21*p**4 + 16*p**4 + 71*p**4) + (53*p**2 - 53*p**2 - 24*p**5)*(0 + 1 - 2).\nAnswer: -42*p**5 - 66*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 0 - 35. Let x(d) = d**3 + 6*d**2 + 4*d - 3. Let z be x(g). Let f(r) = -z*r**2 - r**2 + 7*r**2 - 2*r**2. Let i(q) = 4*q. What is f(i(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -92, -57, 12, 127?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1632)\/(-256))\/(6\/(-8)) and ((-69)\/4)\/(10 - 25)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/25)\/(1\/10). Let g = -3 - z. Let k be 4*(g\/4 - 1). Calculate the highest common divisor of 35 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67895 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 13 = 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/(-245) + (-2)\/7. Suppose -4 = m - 2. What is the closest to y in 0.3, m, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/48*(-3)\/3*9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/((342\/(-150))\/19)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 3*i - 12 = -10*k, 3*i + 6 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/11 - 10*s**4\/11 - 18*s**3\/11 - 14*s**2\/11 - 4*s\/11 = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.83 - 0.17. Let v = 0.16 + 0.14. Which is the smallest value? (a) v (b) -2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 25. Give q(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1017\/4 - -256. Let a(b) be the first derivative of -1 - 8\/3*b**3 + 0*b + 49\/15*b**5 - 2\/3*b**2 - o*b**4. Determine z so that a(z) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6750 divided by 160?\nAnswer: 675\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.02307 grams in nanograms?\nAnswer: 90023070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7804132982 minus 0.2?\nAnswer: -7804132982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 306 - 285 + 591.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8193\/5 - 1639. What is the closest to -2\/19 in 3, 0.5, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26746.864 rounded to the nearest 100?\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(4) - (sqrt(4) - (sqrt(4) - -6*sqrt(8)\/sqrt(2)))))\/(((sqrt(9) + sqrt(144) + sqrt(9))*-5)\/sqrt(3)).\nAnswer: -sqrt(2)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/11833 or 2\/105?\nAnswer: 11\/11833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 95 + 75. Is 3 - (1\/2 + (-14501)\/u) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + h)*(-2*h + h**2 + 2*h) + 3*h**3 + 5*h**3 + 7*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -7 in decreasing order.\nAnswer: 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 113*i + 17978.\nAnswer: -(i - 202)*(i + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -198*b + 203*b - 3*w, -183 = -3*b - 5*w. What is the remainder when 168 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 21 = 5*g, 0 = -2*s - 41*g + 46*g + 11. What is the least common multiple of s and 644?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(15*(-7)\/385)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*k**2*t + k*t**2 + 223*t**2 wrt k.\nAnswer: -38*k*t + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1360 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/(4\/10*-13 + 5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 13*f**2 + 19*f - 61. What is b(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 - 67. Let g = 24 + f. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/15129491 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 26*s**2 + 9*s - 316. Give c(13).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-26))\/((-6)\/4). Let z = -39 - -15. Let h = -23 - z. Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322 + 305 + 7 + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -41\/5, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*p**2*s**3*u + p**2*s**3 + p*s**2 + s**3*u + 9*u wrt p?\nAnswer: -170*s**3*u + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.943465 to 1 decimal place.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 215 - 394 = 0. Sort m, 3, -4, -1 in increasing order.\nAnswer: -4, -1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3848 + -34630\/9. Let q = -1024\/7 + 146. Which is the second smallest value? (a) m (b) q (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:17 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 237. Suppose -3*s - j = s. Let y = 44 + s. Solve -5*q - 3*v - 34 = 0, q - 5*v + y = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3311522599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -854362*f - 5980530. Calculate n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642778?\nAnswer: 2, 3, 89, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.389 - -1.111. Which is the closest to -2? (a) -1\/4 (b) -1 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 5*z**8\/336 - 31*z**7\/42 + 9*z**6\/8 + 95*z**5\/12 - 95*z**4\/3 + 50*z**3 - z**2 - 90*z. Let d(v) = 0. What is v?\nAnswer: -2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 21*p. Let s(k) be the second derivative of k**4\/3 - 32*k. Calculate d(s(n)).\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*5*16\/120.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 14 + 17 + 0 + -40 + 78.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1408))\/(2*sqrt(128))*-2*2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Let j(b) = b**2 - 94*b + 1916. Let d be j(29). Solve 5*r + 2*x = -d, -z*r + 4*x = -6*r - 32 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/4 - c**2\/2 + 4*c - 4. Let h be s(0). Are 4 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 10*z + 45. Let x be z - (-9 + 3 + 3). Suppose -2*l - 2*l - 2*o + x = 0, 0 = 5*l + 3*o - 22. What is the remainder when 13 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.1, 2\/9, -658.233, -1.\nAnswer: -658.233, -1, -0.3, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2. Let s(r) = -1606*r - 1611*r - 28 + 3224*r. What is f(s(m))?\nAnswer: 196*m**2 - 1568*m + 3136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 0.0363 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/7 + 716*b**2 - 30029*b\/7 - 5006 = 0.\nAnswer: -1, 7, 5006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25362*y**2 - 1298*y + 305297765 wrt y.\nAnswer: -50724*y - 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/240 and -121\/24534?\nAnswer: 981360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and -10.598056.\nAnswer: -9.798056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 44*a - 2. Let z be r(8). Suppose 0 = 3*x + w - z, -98 = -6*x + 5*x - 5*w. What are the prime factors of x?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90415 is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 4. Let t(o) = 2*o**2 + 7. Let i(k) = -7*q(k) - 4*t(k). Let b(s) = -s**3 + 2*s**2. Give -b(z) + 2*i(z).\nAnswer: z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f**2 + 6. Let x(m) be the second derivative of -35*m**4\/4 + 49*m**2\/2 - 2*m + 9. What is 6*x(i) - 49*z(i)?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s + 2. Give i(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 868 times 0.3\nAnswer: 260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + d, 0*l - 4*l - 5 = -3*d. Let x(t) = 5*t**2 + t. What is x(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*z - 16 + 26 - 10 in the form f*z + a and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tot?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*a - 406, 5*w - 18 = -5*a + 367. Let l = w + -77. Find the third derivative of 7*b**l - 4*b**3 + 45*b**2 - 3*b**3 - 29*b**4 wrt b.\nAnswer: -696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*j = -1571, -18 + 2655 = 5*x - j. What are the prime factors of x?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21725773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277\/3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((608\/95)\/(-8))\/(-2 + (-124)\/(-60))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from cbttcctcccctcc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 46 = -4*z. Let w(c) = 455*c - 7 + 0*c**2 - 214*c - 229*c + 3 - c**2. What is w(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 397 and 1996910?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (633*w**2 + 692*w**2 - 1204*w**2)*(22 - 5*w - 22)*(0 + 1 - 3) + (-w - w + w)*(-w - w**2 + w).\nAnswer: 1211*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4)*6)\/(18\/24). Let h be -3*4\/l*-1. Calculate the highest common divisor of h and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/7)*m)\/(m**14*m*m)*(m**(-2\/25))**(-50))**(-19) assuming m is positive.\nAnswer: m**(1539\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:37 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -119, -111, -99, -83, -63, -39?\n\"Answer: 2*y**2 + 2*y - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -25*d + 1 - 2*d**3 + 24*d + 2*d. Let x(g) = 7*g**3 + 4*g**2 + 3*g - 16. Let o(t) = 4*h(t) + x(t). Calculate o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 5\/2, -2\/7 in decreasing order.\nAnswer: 5\/2, -2\/7, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 4, 12, 1449.\nAnswer: -64, 4, 12, 1449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/5, 3, 66, -0.1, -20, 0.5 in descending order.\nAnswer: 66, 3, 4\/5, 0.5, -0.1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7984\/5 - -1597. Let o(j) be the first derivative of -1\/2*j + 1\/2*j**4 - u*j**5 - 5\/8*j**2 + 1\/2*j**3 - 12 - 1\/8*j**6. Determine t, given that o(t) = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276240 and 9680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7. Suppose -3*q + 4*q + 1 = j, 0 = -2*d - 2*q + 8. Suppose -k + 2*k = -f + 17, d*f - 76 = 4*k. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 33 = -25. Suppose -3*z + 7 + c = 0. Factor 5*n**2 + 0 + 0 - z*n**3 + 6*n - 2*n**2.\nAnswer: -3*n*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -1756, -5850, -13784, -26830?\nAnswer: -46260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12966*j - 19305 = -6329*j - 6312*j + 5720 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*g + 657*g = 10920 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111101100 + 10000101110010?\nAnswer: 11010101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -4 - -5)*38. Suppose 9*y - h = 8*y. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 8. Let f = 8 + g. What is the third derivative of -s**5 + 0*s**f + 6*s**5 - 2*s**5 + s**2 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*k + 44*k + 208*k + 1076*k + 598*k.\nAnswer: 2119*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.4597 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -63. Let k be (3\/m)\/((-4)\/(-276)). Let s(a) = -a**2 - 24*a - 15. Let l be s(k). Solve 2*n = i + 2 - l, -3*n + 4*i = 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 + (-94)\/6. Let n = 26 - g. Let t = n + -25. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -744*b*y + 10545*b - 6*y wrt y.\nAnswer: -744*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/242394 and -103\/22461844.\nAnswer: 67385532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 172293671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 5*j - j in the form o*j + l and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) 4.3 (c) -4 (d) -0.5001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 65*r - 192. Let t be v(3). Solve 42*h + 27 = t*z + 38*h, h + 23 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y. Let s(m) = -216*m. Give s(t(c)).\nAnswer: -432*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 21. Suppose 2*u + 4 = k. Is 0 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + 16. Suppose -42471 = -p*d + 2*d. List the prime factors of d.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35733917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079431.\nAnswer: 1079431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198654946*k**6 + 26011832*k**2 wrt k?\nAnswer: -23838593520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.4801us to hours.\nAnswer: 0.00000000402225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12126355 (base 8) in base 7?\nAnswer: 31441514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9149.303um?\nAnswer: 0.000009149303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/((-2)\/(-10)). Let k(h) = -h**3 + 4*h**2 - 9*h. Let u be k(6). What are the prime factors of (w\/(-6))\/(12\/u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(7\/168). Let v = -4 + -16. Let q be (72\/(-20))\/(3\/v). What is the greatest common factor of d and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122012202212 + 0?\nAnswer: 122012202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5024258438 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1794\/(-26))\/((891\/(-18))\/(-33)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66949, 67478, 68365, 69616, 71237, 73234, 75613?\nAnswer: 78380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - 0.08. Which is the closest to 0.1? (a) q (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29\/86 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-219)\/9)\/(4\/(-216)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 32121 = 36*k - 165*k. Calculate the remainder when 1492 is divided by k.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -672*n**2*o**2*w + 2*n*o + 27*o**2 - o*w wrt n?\nAnswer: -1344*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 3362 = 4*o - 94*o for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, -227, 1\/2, -8, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18680 - -614. What are the prime factors of l?\nAnswer: 2, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14962 * 38.\nAnswer: -568556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 14*a + 12. Let z be d(10). Let j = z + -74. What is the tens digit of 2*j\/(5\/((-215)\/4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyjyyyyy. What is prob of picking 3 y and 1 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221\/4 - 55. Let n = -3.9 - -5.9. Which is the nearest to n? (a) 0.4 (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (668*h - 668*h + 4*h**3)*(0 + 0 - 2*h) in the form z*h**2 + a + g*h + l*h**3 + b*h**4 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 62781495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1152620070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - h + 10 = 0, 5*n = -2*h - 11 + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667395.\nAnswer: 5, 333479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/98)\/((24\/210)\/((-4)\/(-250)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3))**2 + -1 + -4*sqrt(567) + sqrt(567) - (-3*(sqrt(7)*2 + 2) + -1).\nAnswer: -21*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 40. Give y(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/(w**(-4\/5)\/w))\/w*w**(-4\/5)*(w\/w**2*w)\/(((w\/w**(-2\/13)*w*w)\/w)\/w*w) assuming w is positive.\nAnswer: w**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/((m*m*m**(-2\/5)\/m)\/m)*m))**(-39\/4)*m**(1\/5)*m**(-3)*m*m*(m**(-12)\/m**9)**(-1\/13) assuming m is positive.\nAnswer: m**(-1309\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 + 387. Let m = h + -189. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - -2.8. Sort -2, m, -0.5 in decreasing order.\nAnswer: m, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 divided by 203.\nAnswer: 149\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 106267 (base 8) to base 2\nAnswer: 1000110010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1436, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5 + (0 - 1 + 3)*(-2 - 3 + 4))*(2027 - 1012 + 5*s - 1016 + 207*s**2).\nAnswer: -1035*s**2 - 25*s + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23801 or 119011\/5?\nAnswer: 23801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 21*j**2 - 4*j + 52. Give n(21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 + 37 - 1. Suppose -j = 4*x - 199. Suppose -54 = -3*y + 3*n, 0 = -0*n + 3*n + 12. What is the remainder when x is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 6. Let v(w) = 5 - 3*w**2 - 3 + 2*w**2. Let z(o) be the first derivative of o - 4. Determine n*v(u) - 2*z(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -9*v**5 + 251530*v**4 + 307446*v**3 - 195632*v**2 - 307437*v - 55898 = 0.\nAnswer: -1, -2\/9, 1, 27949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6387029 is divided by 375707?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -26 (c) 5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9498518 millimeters in meters?\nAnswer: 0.0009498518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-21) + 32\/14. Suppose -r = g - 13. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 296 and 974728.\nAnswer: 974728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1834982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*-640.7\nAnswer: -2562.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68402058353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*j, -16*t - 7*j - 11 = -19*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 times -24?\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (23 - 12 - 15 - -11)) + 2 + -73?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 25*f**2 - 14*f + 6. Is p(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/16 and -19\/2663848.\nAnswer: 5327696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3494, -13977, -31450, -55913?\n\"Answer: -3495*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15136 = 46*w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010111011 + -1000011111101?\nAnswer: -101000110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -10 - ((-63)\/12 + 1). Is 116 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*b - 17*b - 13*b**2 - 36*b**3 + 8*b**2 - 17*b in the form d*b**2 + y*b + n + u*b**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from egetwgtegggfgge?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5\/2, 0.01, -32, 12, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/(10\/225). Let r = 27 - q. Suppose 13 = -u - 2*f, -4*f - 6 - 14 = r. Let x(m) = 7*m + 4. Determine x(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 0 + 46\/5*q - 1\/5*q**3 + 9*q**2 = 0.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 26 + 2. Let z be 21\/(-49) + 38\/t. Suppose -3*f - 5*k - 12 = -5, 5*k - 13 = 2*f. Sort z, 4, f in descending order.\nAnswer: z, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -200. Calculate the greatest common factor of 68 and r.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1929 and 62371.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 3221133200?\nAnswer: -3221133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 8 - 12. Suppose 2*p = -h*z - 6, -3*p = -4*p + 3*z + 7. Calculate the greatest common divisor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**4 + k*r**3 - 2996618*k*r + 311*r**3 + 8099*r + 1 wrt k?\nAnswer: -12*k**3 + r**3 - 2996618*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-26 - -9) + 3 + 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -127, -1087, -4063, -10063, -20095, -35167, -56287, -84463?\n\"Answer: -168*k**3 + 216*k - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.7339 years in decades?\nAnswer: 68.87339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*h**3*t - 2*h**2*t*u**2 + 4*h**2*u**2 + 2*h*t + 132*h*u**2 wrt h.\nAnswer: 114*h*t - 4*t*u**2 + 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 875*f + 56092. Calculate l(-60).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5203*-2*4\/(-200). Suppose 5*i + 4*g - 1037 = 3*g, -3*g = 2*i - 407. Let m = i - j. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6610 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -714723?\nAnswer: 714724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - (-9 + 11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9684*y**2. Let p(u) = u. What is g(p(t))?\nAnswer: -9684*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from myaxi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 85 = 307 + 537 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**4 + 0 + 0 + (-5*q + 3 - 3)*(-7*q**2 + 3*q**3 + 7*q**2) + q**3 + q**4 - q**3 + 5*q**4 + 2*q**2 - 2*q**2.\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkgittp. What is prob of picking 1 p and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -85031522 divided by 6\nAnswer: -42515761\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c + 3 = 53*c. Let j be 1\/c - (1 - 21\/36). Let d(u) = -u**3 + 2*u**2 - 2*u - 1. Let s be d(2). Sort s, j, -1 in increasing order.\nAnswer: s, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*c - 3068 = 0, -c - 2301 = -3*s - 2*c. Suppose -3*l = -s - 178. Suppose -17*v = -10*v - l. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*3\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -102, -109, -96, -57, 14, 123, 276?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + ((-4 - -14) + -3 - ((30 - 12) + 0))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from rbqqqgqqgqqrq?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 35*y - 32. What are the prime factors of q(14)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5036 + 6882. Let i = r + -142901\/12. Let v = -10116\/5 + 122047\/60. Calculate the common denominator of i and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6073 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {l: 1, q: 1, m: 2, w: 1, x: 1, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -891*b + 900*b - z - 84 - 140, 5*b + 27 = 6*b + 2*z for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -4, 5, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 + 70 = p. Calculate the greatest common divisor of 37 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 1831\/13. Put 0.3, b, -44 in increasing order.\nAnswer: -44, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 210012?\nAnswer: 202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*x + 23 = 0, 3*c + 12*x = 17*x - 8. Calculate the smallest common multiple of c and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198005503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1280?\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let i be 2\/3 + 8\/6. Let y = 37 - 31. Let c(d) = -y*d - i*d + 2*d. Calculate v(c(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - -6*-1*sqrt(120))\/sqrt(8))\/((6*1*sqrt(5) + sqrt(5))*5))**2.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -750886*i**6 - 380*i**5 + 680203*i**2 - 373 wrt i.\nAnswer: -90106320*i**3 - 22800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10 = t. Suppose -5 + 24 = s - t*g, -5*s - 4*g = -39. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 73, 3\/7, 352?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6, i: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/15 + 17*r**4\/8 + 73*r**3\/6 + r**2 - 18*r. What is the remainder when p(-13) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1146 and 8142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152084 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -406*s**2\/3 + 2432*s\/3 + 8 = 0. What is s?\nAnswer: -2\/203, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/5 + 51\/20. Suppose -6767 - 1945 = -36*i. Suppose -i*w = -249*w - 7. What is the closest to w in -4, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -25. What is the second smallest value in 3, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 18*k**3 + 1 - 2*k - 3*k**2 + 124*k**3 + 4*k**2 + k in the form q + s*k**3 + m*k + y*k**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -n - 27 - 21, -5*n - 2*u = 257. Let p = n - -55. What is the units digit of 6\/p - 660\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012428478 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 greater than 576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 6, 0 = n + 5*x - 8. What is the remainder when 69 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3397 + 5725. Let d = 4735 - u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/768 and -107\/672?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/184415, 1\/6, -5 in decreasing order.\nAnswer: 0.5, 1\/6, -1\/184415, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00359865122 to five dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4339, 4333, 4323, 4309, 4291, 4269?\n\"Answer: -2*y**2 + 4341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhyhel. Give prob of sequence lvye.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3091 + 1909. Let f be 16\/(-36) + 1145\/45. Suppose c = 21*t - f*t. Round t to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 17*d**2 - 19)*(-2*d - 54 + 0*d + 95).\nAnswer: -34*d**3 + 697*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 15*z**8\/56 - 3*z**5\/20 - 19*z**4\/12 + 7*z**2\/2 - 4*z + 49. Find the third derivative of h(p) wrt p.\nAnswer: 1800*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -24 (b) -0.6 (c) -2\/2593 (d) 5 (e) 2 (f) 0.4 (g) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*p + 5*y, 0 = 2*p - 3*y - 2*y - 24. Suppose p*m + 2 = 18. Let l be 24*3\/12*2. What is the greatest common factor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 30*u**2 + 6*u - 11. Let z(d) = -d + 1. Let v be (-896)\/144 + 2\/9. Let n(q) = v*z(q) + b(q). Is n(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {k: 1, q: 1, r: 2, f: 1, e: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 84934784?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - a**3 + 3*a**2 - a + 0*a + 0*a**2 to u + w*a**2 + j*a**3 + k*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -18*l**2 + 18*l - 32. Let d be h(2). Is -206\/3 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2.77 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23285 + 23372. Calculate the highest common factor of n and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10426.8 + 10500.719. Let c = w + -74. What is c rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by ((-237)\/9)\/(84\/18 + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 11*i = -48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.3 + 5.7. What is the nearest to -2 in t, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x - 5 = 0. Let i = -4 + 2. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 5*k + 2. Let t(i) = 77*i**2 - 2003*i + 33. Let s be t(26). Let b(u) = 9*u**2 + 15*u + 6. Determine s*h(v) - 2*b(v).\nAnswer: 3*v**2 + 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27633906709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*m**2 - 14*m**2 - 2*m + 2*m.\nAnswer: 207*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4093.3199 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 1358 = 1282. Let u = v - 11. What are the prime factors of u?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 8) to base 14.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170174101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 77, 75, 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*j + 181. Calculate the common denominator of (-130)\/j*(-3)\/(-2) and (73 - 21 - 129)*(-2)\/102.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, -14 in decreasing order.\nAnswer: 4, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1491)\/(-735) + (-5)\/50 + (-3)\/6?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908687.5l in millilitres?\nAnswer: 908687500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 12. Let w be z(-5). Let h(t) = t**3 + 6*t**2 - 9*t - 9. List the prime factors of h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 1\/7 (c) 2 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 2 + 69*m + 1\/2*m**3 + 21\/2*m**2. Give g(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 326319648*u - 13310564083855488.\nAnswer: -2*(u - 81579912)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.3, -10\/7, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.128004*-6.\nAnswer: -0.768024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 50*c = -2*f + 4226, -f + 5*c + 2131 = 0. What is the remainder when f is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 31*s**3 - 10*s**2 + 11*s + 9. Is w(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 748 divided by -44\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*v - 31747 = 207*v + 169*v + 11*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/24 + z**3\/2 - 9*z**2\/2 + 20*z. Let v(m) be the first derivative of t(m). Determine v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 5. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64391 - 857.\nAnswer: 63534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*p + 42192 + 145556 = 0. What is the remainder when p is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 371, 0, 2\/7, -44.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277086751\/198588990 - 39\/178909. Let j = w - 1\/222. Let n = -1 - j. What is the nearest to -6 in n, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4267946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.35796708?\nAnswer: 0.407390124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5 - 2) + 2)*(-64 - -63). Let n(g) = -g**2 + g - 1. Let v(a) = -5*a**2 + 9*a + 4. Let l(r) = -3*n(r) + v(r). Calculate l(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -7, 1\/18, -1\/3, -5\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 9. Let f = -150 - s. Let q = 206 + f. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 133*b + 818. Let s be a(-6). Calculate the highest common factor of s and 1250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 7 - 7 + 2*s. Let p(o) = 2*o**2. Calculate g(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*l - 298*l + 614 = 314*l + 130 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 257, 2, 4, 0.3, 7.\nAnswer: -0.3, 0.3, 2, 4, 7, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2 + 2*y + 6. Let w(h) = h**2 + 1. Let f(l) = 6*w(l) - x(l). Let f(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.075.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 2*w, -5*d - 40 = 5*w. Is 6 a factor of 4*(d + 1 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, 1, -26\/9, 2\/3?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-747)\/(-249))\/(12\/104)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 10*q - 24. Let i be a(9). Let s = 2312\/11 - i. Factor -4\/11*b + 2\/11*b**2 + s.\nAnswer: 2*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.13 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 10*u**2 + 16*u + 59. What is f(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/9, -5\/6, 0.5, -1\/3, -1.48?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6753*d - 1052*d - 1962*d to u*d + j and give u.\nAnswer: -9767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*f**3 + 141*f**2 + f - 30675.\nAnswer: -630*f + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, f: 3, v: 4}. What is prob of picking 1 s and 3 f?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 6493 (c) 0.4 (d) 2 (e) -212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(684)*-3*1*-3*5*3)**2.\nAnswer: 112193100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.413 + -13.88. Round g to one dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 31. Determine g(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4, -5*m - 52 - 33 = -5*d. Let s be 24\/(-7)*(3 - 104\/d). What are the prime factors of ((s\/(-5))\/2)\/((-102)\/765)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 151*t**2. Let g(q) be the first derivative of -3*q**2\/2 + 117. Give g(r(f)).\nAnswer: -453*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27266 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1216396328 rounded to 6 decimal places?\nAnswer: 0.12164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l**(-2\/5))**42 assuming l is positive.\nAnswer: l**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 22*j**2 - 26*j + 71. Let z be m(23). Solve 3*c + 1 = -z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -28*d**2 - d - 600. What is a(1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/(2\/6*(-3)\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 4872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + 0.423. Let s = 12 - 11.588. Let o = w - s. Round o to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -5.8, -1\/6?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 4*s - 3*s + (-4*s + 3*s + 2*s)*(-9 - 1 - 6) + (-4 + 2 + 0)*(6*s - 3*s + 5*s) - 3*s - 2 + 2.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 1)\/(55\/15 + -5). Sort 143, -2, -5, k in ascending order.\nAnswer: -5, k, -2, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4550? (a) -3 (b) -1 (c) -4\/59 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 4\/3*q**2 + 1\/3*q.\nAnswer: -(2*q + 1)*(4*q - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85509414 to the power of 1\/2, to the nearest integer?\nAnswer: 9247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 53 from -415.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28451 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c - 46*c - 53*c - 44*c + 232*c.\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/4 + (-4)\/16. Let a(f) = -2*f**3 - 2*f**3 + 5*f**3 + r - 2*f**2. Let b be a(2). Solve -3*p + 18 = -3*z, -6 = -4*p - 4*z + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36070624?\nAnswer: 2, 23, 49009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 21*i**2 + 0 + 0.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = 0. Solve 4*f + f = 2*b - 16, o = 3*b + f + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7622 or 53345\/7?\nAnswer: 7622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000791 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400.89 - -372.2. Let k = o + 29. Is -0.4 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/987 and 89\/182?\nAnswer: 25662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*f - 20, -8*k - f + 168 = 129 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2. Let l(u) = 7 - 19 - 13*u + 12. Determine f(l(x)).\nAnswer: -676*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1277935243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -16) + (-1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:42 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 694, -1, -11, -21\/20, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8397860 divided by 1679572?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t**(2\/9)*t)\/t)\/t)\/t)**26)**(-45)*(t*t\/t**3*t\/((t**1\/t)\/t))\/((t*t**(1\/7))\/t**(-4)) assuming t is positive.\nAnswer: t**(6341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239 divided by 3461.\nAnswer: -239\/3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 209330 (base 11) to base 9\nAnswer: 558731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 6*f**2 + 8*f - 6. Let v(q) = -q**3 - q**2 - q + 1. Determine s(y) + 6*v(y).\nAnswer: -3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.13 + 39.794105.\nAnswer: 49.924105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 7, -1, 30, 6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -28, -44, -60, -76?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4356) - -3*2*sqrt(4356)) + sqrt(4356) + (sqrt(4356) - sqrt(4356)*-2)*-1)\/(4*(sqrt(12) - sqrt(60)\/sqrt(5)) - sqrt(12)*-1*3)*4.\nAnswer: 220*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1992.77 - 2008. Let c = j + 0.23. Let a = c - -19.4. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56209 = 6*q - 29585. Suppose 0 = 9*b - q - 12692. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Suppose q = 3*f - 76 - 176. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31252*i**3 - 15598*i**3 - 15586*i**3.\nAnswer: 68*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73265?\nAnswer: 5, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1572456 divided by 1572456.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 20) + 36 + -35 + 3 + -25?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69156 divided by 5\nAnswer: -69156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 7853, 5 in decreasing order.\nAnswer: 7853, 37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 11*p**2 + 44*p - 80. Let l be b(6). Solve -46*t - l*y - 5 = -51*t, -3 = -3*t - 2*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 570 + -567. Solve 3*y - 2*b = -4*b - 1, 0 = t*y + 5*b + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43 and 6761798?\nAnswer: 6761755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 4*n**2 - 6*n + 5. Let c be k(5). Suppose c = 4*q - 3 - 9. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 24*n**2 + 1. Let h be r(-1). Suppose 0 = -g - g - 2*i, 0 = -g + i + 10. Calculate the greatest common factor of g and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3 + 868*g**4 - g**2 + g**3 + 12 - 867*g**4 + 17*g.\nAnswer: (g - 4)*(g - 3)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 - 21 - 408*l**2 + 4 - 2*l**4 + 99*l - 3*l wrt l.\nAnswer: -48*l**2 - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163532 (base 8) to base 12.\nAnswer: 2a336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -q + 38, -4*q + 5 = m - 2*m. Suppose -w = -5*u - 5*w, 0 = -5*u + 3*w + 35. What is the least common multiple of m and ((-6)\/(-9))\/(u\/24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48423?\nAnswer: 3, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80150 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -173*x + 182*x. Solve 0 = -y - 0*y - x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421805803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (252 + 8*u - 246 + 0*u)*(-46*u**2 + 98*u**2 - 45*u**2).\nAnswer: 56*u**3 + 42*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*j**3 + j - 4.\nAnswer: 882*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -7*z**5\/60 + z**4\/8 - 2*z**3\/3 - 5*z**2. Let w(i) = -3*i**2 + i - 2. Suppose -2*u + 12 - 2 = 0. What is u*w(k) - 2*d(k)?\nAnswer: -k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91760?\nAnswer: 2, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/24*-6)\/(126\/(-84))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s - s)*(-3*s + 4*s - 2*s) + 0 - s**2 + 0 - 14*s - 15*s**2 + 29*s - 14*s to the form m*s**2 + b + r*s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 49*b - 53*b + 24 = 0, 5*b - 19 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, -440, 0.05?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:03 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 26. Is d <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72012 is divided by 10284.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)\/r*r\/((r\/r**(-1)*r)\/r))\/((r*r\/((r\/r**(2\/7))\/r))\/r**(-1\/9)) assuming r is positive.\nAnswer: r**(-283\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u - 131 - 136 + 4*u + 267. Suppose -18 - 24 = -2*x. Let i(l) = -12*l**2 - x*l**2 - 3 + 3. Calculate i(m(b)).\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00134018 rounded to 5 decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -609947280 rounded to the nearest 1000000?\nAnswer: -610000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/30 - g**4\/8 - g**3\/3 - 4*g**2. Let v(n) be the first derivative of r(n). Differentiate v(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**7\/147 - 2*l**6\/35 - 6*l**5\/35 - 4*l**4\/21 + 47*l. Find i such that g(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.809 - -673.86359.\nAnswer: 673.05459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 8*m**2 + 8*m + 1. Let h = 45 + -9. Suppose 0*w + 4*w + h = 0. Let d be t(w). Solve -3*x = -x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-25)*1\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9091, 18074, 26703, 34978, 42899?\nAnswer: 50466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 21*m**2 - 22*m - 3. Let o(n) = n**3 - 3. Let l(f) = -3*o(f) + 3*p(f). Factor l(b).\nAnswer: 3*b*(b - 22)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*u + 4*o, -2*u - 12 = -u - 4*o. Suppose 7*l - 3*l - 88 = u. What is the remainder when l is divided by (1\/(-1))\/(2\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let a(j) = j**2 - 4*j - 4. Let f(c) = 3*a(c) - 12*z(c). Let w(u) = -5*u**2. What is f(w(h))?\nAnswer: 75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -9, 2*c - 13 = -5*m. Let w(t) = t**3 + t - 2. Let b be w(-2). Let k be 1 - c*b\/20. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/16*(-78)\/39)\/((-1)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 35. Calculate the common denominator of -2 + ((-2)\/u - 143\/10) and 15\/31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + 3)\/(1 + (-11695)\/11690)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -33, -120, -293, -582?\n\"Answer: -5*x**3 + 2*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -52 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7198 in 6\/5, 4, -49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + 2106\/(-90))\/(((-2)\/9)\/(30\/(-45))).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/208 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.18 - 0.18. Let q = -5 + n. Let a = 0.2 - -2.8. Is a != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 23397840?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 + c - 11*c**3 + 7*c + 7*c**2 + 12*c**3. What is the units digit of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 668*v\/5 + 55778\/5.\nAnswer: 2*(v - 167)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b**3 + 5*b**2 - 16*b + 7. Let n be a(-7). Suppose -s = -f + n, -2*f = -8*s + 5*s - 8278. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 3, w: 4, j: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:49 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036174 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let l be 20\/10 + (-1 - -6). Let n = 2 - l. Let i be k(n). Sort 5, i, -2 in increasing order.\nAnswer: i, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*q - 84*q + 40*q - 85490 = 0. List the prime factors of q.\nAnswer: 5, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5570974 millilitres?\nAnswer: 0.0005570974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 1:03 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (118\/(-1888) + 225\/528 + 2990\/(-660))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 8*h**2 + h + 9. Let m be a(-8). Suppose 0 = 4*p + m - 9. Differentiate -8*w**4 + 4 + 6 + 2*w**3 - p*w**3 wrt w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1938, 1869, 1810, 1767, 1746, 1753?\n\"Answer: v**3 - v**2 - 73*v + 2011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12729607790.873187 - -12729613497. Let g = -6239.12709 + q. Let z = g - -533. Round z to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxzxsxzxepzxx. Give prob of picking 2 z and 2 x.\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10767, -29 in ascending order.\nAnswer: -29, -3, 10767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + 4 + (-11 + 10 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 160 = -7*l. Let g = 151 + -146. Calculate the smallest common multiple of l and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1986*-38491\nAnswer: -76443126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/2 + -1)\/((-297)\/99). Determine j, given that 0 - 2\/11*j**3 + 0*j + t*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-178584)\/(-288) - -2*3\/(-8). Let u = a + -620. What is the closest to 3\/8 in -0.5, 5, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841 - 1830 + 1620*c**2 - 1833 - 2*c + 5504.\nAnswer: 1620*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 3*j + 3*o + 202, j + 5*o - 39 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3181\/11 - 289. Let f = -248.9481 + -0.0519. Let b = -254 - f. What is the nearest to -0.1 in b, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466250.\nAnswer: 2, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-24)*(4\/11)\/(-36*145\/5742).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -389254*m - 2708772 wrt m?\nAnswer: -389254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10306450 divided by -37478?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 6. Let i = d + -15. Let k be i\/9 + 4\/18. Solve k = v + v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 44*i + 229. What is h(23)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 374 - 4*m**2 - 191.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 5. Let v(q) = -1. Let s(w) = -2*w + 2. Let a(g) = -s(g) + 2*v(g). Let z(b) = -3 + 5*b - b + 0 - 3*b. What is u*z(m) + 3*a(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 2*h**3 + 4*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4500 and 8550.\nAnswer: 85500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16018 (base 15) to base 13\nAnswer: 26369","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3078 + -3078.2. What is the fifth smallest value in w, 1\/12, 2, -5, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 992632994 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:48 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -181\/1155?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 1128*n - 8940. Give c(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 22.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115592 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 = -2*g + 4*o, o = -5*g + 23. Let k be 0\/g + 9 + -1. Suppose -k = -2*i + 44. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*i**4 + 14*i**4 + 19*i**2 - i**4 + (2 - i - 2)*(11*i**3 + 8*i**3 - 9*i**3).\nAnswer: -9*i**4 + 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7461392 at least as big as 7461392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137 - 151 - 27*b**3 + 35*b**3 + (b**2 - 4*b**2 + 5*b**2)*(0 + 0 - b) - b**3 - 3*b**3 + 3*b**3 to the form l + g*b + h*b**2 + i*b**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.004, -5, -1\/8.\nAnswer: -5, -2, -1\/8, 0.004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/11 - 30*m**4\/11 + 14*m**3 - 30*m**2 + 252*m\/11 = 0. Calculate m.\nAnswer: 0, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 58. What is b(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:13 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(1 + (-9)\/12). Suppose -4*o = -5*o - 3*k + 17, -o = 4*k - z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 29. Let w = 25.3 + x. Let f = -2 - w. Which is the second biggest value? (a) 1\/2 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -4275\/5326?\nAnswer: -4275\/5326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = -4*y. Is 12 + (1 + y)\/2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*k + 54*k - 14*k)*(-k - 2*k + k) + (0*k - 5*k + 3*k)*(-1 + 1 + 3*k).\nAnswer: -416*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (32 - 36 - -13 - (2 + 154)) + -15?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 21*g**2 + 0*g - 41\/60*g**5 + 1\/30*g**7 + 0*g**3 + 0*g**4 + 0 + 1\/60*g**6. Find the third derivative of a(u) wrt u.\nAnswer: 168*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-15)\/(-6)*-8. Suppose -22 - d = -2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3969\/(-36))\/(-7))\/((-10)\/(-6)*1089\/(-4840)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:14 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01427303 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.70609 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 75159?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153)\/(-12) - (15\/(-5) + (-11)\/(-4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = 346*f - 6067705. What is f rounded to the nearest one hundred?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(15)\/sqrt(5) + (2*sqrt(192) + sqrt(192))**2 - (sqrt(27)\/(sqrt(324) + sqrt(9)) - (sqrt(363) + 1)**2).\nAnswer: 174*sqrt(3)\/7 + 2092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 17 = 4*k, -12*k = -10*k + 4*x + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/(-148))\/((58\/725)\/(16\/10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5887881.1 to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 greater than 14680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7106\/66)\/17 - ((7 - 1) + -1). Factor 20\/3*g**4 + z*g**2 + 8\/3*g - 32\/3*g**3 + 0.\nAnswer: 4*g*(g - 1)**2*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 106267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a30577 (base 14) to base 6\nAnswer: -313433501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 + 7*g + 5. Let v be w(-5). Suppose -5*o + 6 = 21. Let k = o - v. Calculate the highest common divisor of k and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 22*k + 17*k - 105, k - 9 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxdixlcxxl. What is prob of sequence xc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + i = 6 - 17, 0 = 4*k - 5*i + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27017970, -108071866, -243161692, -432287448?\nAnswer: -675449134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 0.3 (c) 35 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 1764?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 309*h - 2520176 + 2512760 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = -36*t + 15*t - 2850 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 16*d**2 - 15*d + 4. Let r be y(-15). Suppose -56 = 49*o - 53*o - 2*v, -4*o - r*v + 48 = 0. Calculate the remainder when 140 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467389 is divided by 467325.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.048 + -16163.\nAnswer: -16162.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 286*t + 24*t)*(-3*t**3 - t**3 + 2*t**3) as j*t + i*t**2 + d*t**4 + a*t**3 + s and give d.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-160)\/26) + 2\/(-13). What is the highest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1)**2*-1 + sqrt(2736) + (sqrt(2736) - ((1 + sqrt(2736))*-5)**2).\nAnswer: -71162 - 552*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/6, 1\/5, -2, 16\/3 in ascending order.\nAnswer: -2, 1\/6, 1\/5, 5, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50352736 to the power of 1\/2, to the nearest integer?\nAnswer: 7096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46356348 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/y)**46\/((y*y**(-1\/3)*y)\/(y**(1\/2)\/y))*y**(5\/6)*y\/((y\/(y*y**(-6)))\/y)*y*y*(((y\/(y*y*y**0\/y))\/y)\/y)**36 assuming y is positive.\nAnswer: y**(-433\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**2\/2 + 3. Let l(c) be the third derivative of c**4\/12 + 64*c**3\/3 + 3*c**2 - 12*c + 1. Determine l(i(r)).\nAnswer: -2*r + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 11. Let h be l(-9). Suppose -h*y + 6 = y. Suppose 44 = y*s - s. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, n: 9}. Give prob of picking 3 n.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -35ee?\nAnswer: 35ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120434 (base 5) to base 2\nAnswer: 1000110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.1, -2\/9, 2\/7, -0.01?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -6. Let g be (-2)\/(-7)*28\/4. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13646 by -4.\nAnswer: 6823\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 957895800 divided by -4?\nAnswer: -239473950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.377*-0.2.\nAnswer: -0.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 57*c + 1065. Give h(69).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r**3 + 7*r - 4. Let i(z) = -z**3 + z. Let l(h) = -2*h + 2. Let n be l(-6). Let k(b) = n*i(b) - 2*s(b). What is the derivative of k(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x**3 + 31*x - 31*x + (3 + 2*x**2 - 3)*(-6*x + 0*x + 5*x))*(7 - 2 - 13)*(-4 + 0 + 0).\nAnswer: 352*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52298383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 19*l - 1. Let q be m(7). Let p be 5*7 + (-56771)\/5161. Calculate the highest common divisor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17508918419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 10*o**2 - 48*o + 483. Let d be i(10). Sort 6, -3, 1, d, -19 in increasing order.\nAnswer: -19, -3, 1, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - 5. Let q(k) = -k + 19. Let t be q(14). Suppose -3*u + 62 = -w, w - t = -1. Let c = u - 18. Give p(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r. Let h(q) be the second derivative of -19*q**3\/6 + 27*q. What is o(h(a))?\nAnswer: -57*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5127 + 7053 = 5*n. Suppose 2 = 2*q, 3*l + 2*q - n = -q. What are the prime factors of l?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 + 8*s - 7. Let c be u(5). Let t(l) = 4*l**2 - 1. Let w be t(1). Suppose w*v + 9 = 33. Solve c*o = 4*o - v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 414668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {v: 2, d: 4, e: 4, w: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18200 = 36*v + 196*v + 418*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*g - 40, 5*g + 2*c - 30 - 10 = 0. Suppose 3*i = 2*y + 47, -2*i - 4*y = 2*i - 56. Let m = i - g. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 70?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 - 7*q**5\/30 + 7*q**3\/6 - 10*q**2. Suppose g - 125 = -4*g. What is the remainder when g is divided by v(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s - 6 = 0. Suppose 2*k + s*w - 1692 = 0, -745 = -3*k - 5*w + 1785. What is k rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.056 + 0.456. What is the fourth biggest value in 2, 3, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 * 0.21\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7167245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.4 times -0.1?\nAnswer: 4.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*(4\/(-3) - -1). Solve 3 + 2 = -g*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 21. Let q(d) = d + 4. Let i(o) be the first derivative of -o**2\/2 - 3*o + 177. Let k(w) = 4*i(w) + 3*q(w). Give u(k(a)).\nAnswer: -4*a + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19261578 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21031301 + 21?\nAnswer: 21031322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11ea (base 15) to base 11\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1. Let i(k) = k**2 + 1. Let o be i(-2). Which is the biggest value? (a) q (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 51*r = 90*r - 28903314. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3766.1\nAnswer: 3770.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240996?\nAnswer: 2, 3, 7, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 minutes after 10:13 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178 and 3827?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 12, -80 in descending order.\nAnswer: 44, 12, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 9 + 7\/(-6). Is 0 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*z = -224*z + 3304. Let s be (1\/6)\/(2364\/z - -5). Which is bigger: s or -21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90b1 + 130?\nAnswer: -8c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 76, 11, 1, 2 in decreasing order.\nAnswer: 76, 11, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 * -295.\nAnswer: -1386.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 9 - 20. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + 12*z - 166. Let f be c(-16). Let k = f + -688. Does 73 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2429769 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6424 - 669 = 0. Suppose 8*r = 7*r + g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2 + 0 + 3)*(5 - 3 - 3)*(90*m**5 - 129*m**5 - 230*m**5).\nAnswer: -269*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and -59\/477.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 4) + -6 + -3 + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -17550811.1\nAnswer: 70203244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 2:50 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*n*u**3 + 2*n*u**2 + 155149*u**3 + 212118*u**2 wrt u?\nAnswer: 252*n + 930894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**5 + 72*j**3 + 8*j + 13?\nAnswer: -80*j**3 + 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**5 - 71*b**4 - 4*b**3 - 96*b**2 - 10*b - 2?\nAnswer: -240*b**2 - 1704*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -8, -53, -148, -311, -560?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 62*159\nAnswer: 9858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 556*o**2 - 5*o - 3. Let z(f) = -2225*f**2 + 22*f + 14. What is -9*n(t) - 2*z(t)?\nAnswer: -554*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5 - 4*b - 9*b + b**2 + 0 + 0*b. Let t be d(13). Solve t*x - 2 = -12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 995 and 10821023?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17861, 17863, 17865, 17867?\n\"Answer: 2*h + 17859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 451*w**3 + 4*w**2 + w. Let o(h) = -h**2 - h - 1. Let p(g) = -2*o(g) - v(g). Let r be p(-2). Round r to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b9 (base 13) to base 6\nAnswer: -1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 185.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 34497043.49213.\nAnswer: 34497043.99213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 5*w + 2*w**2 + 0*w - w**4 - 6*w - w**3 to the form k + u*w**3 + q*w**4 + f*w + j*w**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035571 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -26*p - 4. Let j(u) = -1856*u**2. What is a(j(r))?\nAnswer: 48256*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g, -3*h + 81 = -4*g - 3. Calculate the least common multiple of 2012 and h.\nAnswer: 14084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15)*2)\/(8\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:22 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 282. What is the units digit of 8\/(-20) + o\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + v - 13. Let g = -3 + 36. What is the remainder when g is divided by c(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-6) + 52\/39. Let u be 0\/((-2)\/s + 3 + -6). Solve 14 = 3*o - w, -2*w + u*w = -3*o + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29453 + -29828.526963.\nAnswer: -375.526963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 420 = -22*k. Let v = k + -138. Suppose -v*r = -15*r + 572. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(847)*3 - sqrt(847))*5)**2 + 4.\nAnswer: 6119579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194.7 - 30.\nAnswer: 164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -1. Suppose h + t - 15 = 0, -3*h + 76 = 4*t + 27. Let s = h - y. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(sqrt(84) - sqrt(84)*3) + sqrt(84)))\/(-2*sqrt(768) + sqrt(12) + sqrt(12) + 5*sqrt(192)).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-7 + 0)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p - 8. Let a = -23 - -14. Is z(a) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -0.3, 1\/3, -1\/6, 4, -135?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3881 (b) -2\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let r(l) = 139*l**2 + 6*l - 79. Let h(k) = r(k) - 6*v(k). Differentiate h(n) with respect to n.\nAnswer: 278*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1999 + 2014. Let d(t) = -t**3 + 15*t**2 - 4*t + 21. Determine d(x).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a factor of 25949630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 = 17. Let f = c + 4. Let s be (-18002)\/f + 7\/21. What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - u)*(-1 + 0 + 4)*(u - u + 2*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 8*r = -44. Suppose -3*f + 3*j + 45 = -0*j, -2 = j. Solve 5 = -r*h + f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose q - c - 2 = 0. Calculate the greatest common factor of q and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:26 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 52949.43 tonnes?\nAnswer: 52949430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 297 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7672 is divided by 257?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -50*y + 131. Determine n(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 115. Solve 4*n - 3 = -t*z, -z - 2 = -n + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((4\/2)\/(-2)))\/(259\/259)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 172.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 51*r**2 - 254*r + 506. Let f be z(44). Calculate the greatest common factor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/85*(-4)\/8. Let j = -37 + 188\/5. Suppose 10 = 2*k + 3*k. Which is the third biggest value? (a) v (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:15 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-226395)\/108)\/43)\/((-45)\/(-60))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 - 222*g**2 + 43*g - 3 wrt g.\nAnswer: -12*g - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/13 + 112*n**3\/13 + 1476*n**2\/13 + 2624*n\/13 + 1258\/13 = 0. Calculate n.\nAnswer: -37, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + -6. Let f = 56 + m. Calculate the highest common factor of f and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*b - 20, -s - 19 = 5*b - 1. Let k(u) = 4 + 3*u**2 - u**2 + 2*u + 0*u**s + 0*u**2. Is 16 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:40 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02919, -0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240*l + 336*l + 244*l + 326*l + 329*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/9)\/((7\/(-9))\/(58\/(3480\/(-70))))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.980091 + -466893.\nAnswer: -466898.980091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/3347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2101002 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**2 + 248*v + 252 = 0?\nAnswer: -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -574 - -584. Do o and 0.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1404380863093\/5943 - 236308406. Let b = -3\/1981 + i. Do b and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105603 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1296 + 1430. What is the remainder when 266 is divided by u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 48*p - 195. Give w(59).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 486 times -0.10059\nAnswer: -48.88674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -74. Solve p*v - 2 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/14*4\/2. Is w smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(18)\/(sqrt(27)\/sqrt(3)) + 2 + -2*sqrt(2) + sqrt(2))*-3 + 5))**2*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 55. What is the smallest value in j, -2, -5, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7361*z + 22081. Determine x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3 - 11*c + 2 - 171*c**2 + 172*c**2 - 3. Let a be m(11). What is the second derivative of -6*k - 3*k + 7*k**a + 11*k**2 - 15*k wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyyk when four letters picked without replacement from yqnkjly.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 2. Let g be n(2). Let r be 3 + (2 - (g - -1)). Suppose r*k = 2*k + 20. What is the smallest common multiple of 2 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141118\/45 + -3138. Calculate the common denominator of k and 83\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -40, -86, -170, -304?\n\"Answer: -2*v**3 - v**2 - 3*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 11055211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m)**(10\/3)\/((m\/(m*m\/m**5*m))\/m*(m**2\/m)\/m*m)*(m**(-3)*m**(2\/17))\/(m**(2\/17)\/m**(-2\/9)) assuming m is positive.\nAnswer: m**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16346121 by -12.\nAnswer: -5448707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -753.85 (c) 2 (d) -1 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abbd when four letters picked without replacement from sbbbaddssos.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-11310)\/(-117))\/(-2))\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**6\/60 + 3*c**5\/20 - 3*c**4\/8 + 219*c. Factor w(y).\nAnswer: -y**2*(y - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1151541329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 11) + -2 - -6) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89080\/51*75\/40 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/60*-2). Suppose -y = 2*t - 0*t - v, 0 = -3*y + 15. Suppose -q = 5*u - 22, -t = -4*u + 3. 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: Convert 4121 (base 7) to base 15.\nAnswer: 65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a year in months?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/11634 and 91\/6.\nAnswer: 11634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 109564.466 rounded to the nearest 10?\nAnswer: 109560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a day in minutes?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44373*t**2 - 2307387*t - 468.\nAnswer: 3*(t - 52)*(14791*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*j + 98*j + 116*j - 19*j as o + c*j and give c.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45790082 + 535.\nAnswer: 45790617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433598940 to the nearest integer?\nAnswer: 20823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27408 (base 12) to base 15.\nAnswer: 110a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 5*c. Suppose 0 = -3*d + 5*p + 35, 31 - 10 = 5*d + p. Let k = 13 + -5. Let f(i) = k*i - 2*i**2 - i**2 + 0*i**2. Determine d*f(t) - 8*b(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 37) + (1 + 6 - (-11 + 14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - -112. Calculate the remainder when r is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*o, -3*o = 4*j + 6 + 5. Suppose 0 = o*w + w - 44. Solve -z - 2*z - 13 = 5*l, -4*z - l = -w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7255*s = 7262*s + 5*m - 41, -4*m = 2*s - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (6 - 0) - (199 + -229)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3513*l**2 - 38625*l - 4. What is f(-11)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 833 + 329 = 0. Let y be (90\/l)\/((-5)\/(-6)). Factor -2\/9*f**y + 8\/9 + 8\/9*f - 2\/9*f**2.\nAnswer: -2*(f - 2)*(f + 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l - 64*l - 51*l - 61*l - 63*l + 328*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 2. Let h(r) = 3*r + 2. Suppose -5*o + 9*o = 4*w - 32, -2 = o. Calculate w*h(z) - 7*v(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 235, 3, -2, -3\/5, 1245?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -70 (b) -4\/19 (c) -5 (d) -0.3 (e) 644\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let w(p) = 162*p + 67*p + 9*p. Give w(s(c)).\nAnswer: -238*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + -1*sqrt(2057) + sqrt(2057))*-6 + -1)*3)**2.\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 7*p**3 + 45 - 75.\nAnswer: -7*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**2 - 12*n**2 + 8*n**2 - 3*n**2 + 10*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 5. Solve -5 = 4*c - l*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 158?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(-158)\/1185*2\/260?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1081*n**3 - 24*n - 43. Is a(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose n = j*n - 5. Suppose n*w + 5*o - 5 = 0, -o - 19 = -0*w - 4*w. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -599*z - 1398. Let v be a(-3). Calculate the highest common divisor of v and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + c - 575 = 0, 4*l + 3*c - 84 = -544. Let m = -57 - l. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99183.2 - -99183. Let h = 3 - 6. What is the nearest to 0 in -17, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1718, -6841, -15384, -27347, -42730, -61533, -83756?\nAnswer: -109399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 63*k**4 + 8376*k**3 - 8847*k**2 - 396*k + 804 = 0.\nAnswer: -134, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:36 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -y - 70. Let o = 30 + y. Solve o*s + s**3 + 0 - 2\/3*s**4 - 1\/3*s**2 = 0 for s.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w + 2*b + 28 = 0, -4*w = -4*b. Let p(n) = 3*n**2 + 4*n - 3. What is the remainder when p(w) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 895*b**3*t**3 - b**3*t**2 + 3*b**3 + 17*b**2 - 17*t wrt t?\nAnswer: 5370*b**3*t - 2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/3 - 4*r\/3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/10 - k**3\/3 - 5313*k**2 + 2. Let b(g) = -g**3 - g**2 - 2. Let a be b(0). What are the prime factors of o(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 12367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4*188\/(-176) - 12\/(-66) and 67\/1323.\nAnswer: 14553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i. Let l be k(-1). Let b(o) = -9 - l + 0 + 11 - o. Let x = -2 + 1. Give b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641518630 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*4\/(-432)*8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 6 + -2 + -15 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 24*d + 26*d + 14 = 0, 0 = 5*n - 7*d - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4 + 114*k**3 - k**2 - 466*k + 1 wrt k.\nAnswer: -24*k + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**32*t*t*t**(-3\/31)*t assuming t is positive.\nAnswer: t**(1082\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let g be ((-5)\/(-20))\/(69\/(-116)). Let y = g - -2\/23. Are y and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/189096 and 119\/1890960?\nAnswer: 1890960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -846, 0, 45 in decreasing order.\nAnswer: 45, 0, -3, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 8*v**2 + 2*v + 56. What is p(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = -4*u - 28, -5*u - 9 = -4*l. Let c = -39104 - -39223. Sort c, l, 4, -1.\nAnswer: l, -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1080*n**6 - 2*n**4 + 108*n**2 - 23*n - 2 wrt n.\nAnswer: 129600*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:53 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*y = -4 + 15, -4*y = 4. Let i be -2 + 4*r\/(-6). Suppose i = -s + 8 - 1. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(35)\/sqrt(5) - (sqrt(252)*-2 + sqrt(252) - sqrt(7)))**2 - (sqrt(70) - -5*sqrt(70)*1)\/sqrt(10).\nAnswer: -38*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 3, l: 6, t: 1, o: 1, u: 1}. What is prob of sequence kgl?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902*v**2 + 7094*v**3 - 451*v**2 - 455*v**2 - 1027*v**3.\nAnswer: 6067*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 + 2*b + 2. Let f be k(0). Let r(g) be the second derivative of 0 - g + g**3 - 1\/4*g**4 + 0*g**f. Factor r(v).\nAnswer: -3*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/23, -966964, 2\/23?\nAnswer: -966964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 > 1\/502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4860, 10136, 15820, 21912, 28412?\nAnswer: 35320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j - 3 + 111*j**2.\nAnswer: 111*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 less than -957582509?\nAnswer: -957583320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*s**5\/3 + 72306*s**4 + 646324*s**3\/3 + 638624*s**2\/3 + 68456*s - 3734\/3 = 0. Calculate s.\nAnswer: -1867, -1, 1\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*11 + 3913\/(-364). Suppose 0*g**4 + 0*g**2 - 1\/4*g - k*g**5 + 1\/2*g**3 + 0 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.464 + 0.364. Which is the nearest to m? (a) -1\/2 (b) 0.126 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y + 60. Let u(v) = -24*v + 122. Let c(p) = 5*n(p) - 3*u(p). Let r be 3\/(12\/9 + -1). Let f be c(r). Which is greater: f or -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/60 + a**4\/8 - a**3\/2 - 2*a**2. Let t be d(-3). Is (-6)\/t - (-18 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*3*5 - -3*sqrt(272)*4.\nAnswer: 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.597 + 380.403. Let w = k + -375. What is the third smallest value in 1\/2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 892*c - 872*c - 160 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 806883 to the power of 1\/2, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1730 - 1726. Let w(z) = -2*z**2 + 4*z - 11. What is w(b)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12325995.5 times 0.3?\nAnswer: 3697798.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:12 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.19 - 4.967. Let l = -1.623 - -1.57. Let g = l + f. Round g to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5150 and 2060.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 2*i - 3, 5*f - 24 = -3*i. Suppose 4*r = 3*r + 1016. Suppose -f*v - 5*w + 769 = 0, -2*w + r = 7*v - 3*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1, 94\/85 in ascending order.\nAnswer: -3, -2, -1, 94\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*c - 117*c**4 - 156*c**4 + 61*c**4 wrt c?\nAnswer: -2544*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/238 and 11\/115736.\nAnswer: 810152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1 + sqrt(99))*-5*-6)\/(-2*sqrt(9)*6 - -1*sqrt(9)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 t when four letters picked without replacement from {x: 4, e: 1, t: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b - s - 190, 215 = 5*b + 4*s. Find the common denominator of b and 73\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -4*u. What is the highest common divisor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + k = 4, 0 = -p + 4*p - 5*k - 20. Suppose 2*f = 4*v + 6, -5*f + 64 = -f + p*v. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 432 + -433. Sort 0.1, q, -0.1, -3 in decreasing order.\nAnswer: 0.1, -0.1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -377, -954, -1761, -2792, -4041, -5502?\n\"Answer: v**3 - 121*v**2 - 221*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-1) + ((-16)\/4 - -4). Let n(s) = -s**2 - 21*s - 30. Let a be n(q). Let b = -51 + a. Let k(i) = -8*i**3 - i**2 - 2*i - 1. Give k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3042*m + 33936 + 41101 + 46643 = 0 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*h + 1816*h - 605*h - 600*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/433116 and -173\/13356?\nAnswer: 3031812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2895000 = -2*k. What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 18*h + 13. Let y be m(19). Does 12 divide (y\/2)\/4 + 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 4:53 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1*1\/(-1)). Suppose -c*i = i - 2*o - 2, 5*o + 5 = -4*i. What is the smallest value in i, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824763780?\nAnswer: 2, 5, 7, 37, 352271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 414?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - 4*sqrt(243)*-2 - sqrt(243)) + (-2*sqrt(243))**2 + -3 - (3 + sqrt(243)*1 - 6*(-1*sqrt(243))**2).\nAnswer: 63*sqrt(3) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 420 - 237 = 27. Calculate the least common multiple of m and 4170.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*l + 7*m - 3*m, -17 = 5*l - m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) + 6472\/24. Round x to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48641.17 tonnes to nanograms.\nAnswer: 48641170000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3195702 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/4 + 69*d**3\/2 + 105*d**2 + 2*d - 78. Find z, given that u(z) = 0.\nAnswer: -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4194 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 10. Give b(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1106 (base 7) to base 3.\nAnswer: -112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + h + 115, m - 11 = 4*h - 73. Let u = -36 - m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 473 + -220. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.4, -102, 0.051, -3?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053*1.98.\nAnswer: 0.10494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20736 and 18176.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 26) + 21 - (3 - -2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t + 3. Suppose -164*c + 978 = -60*c + 222*c. Let h(k) = -42*k + 9. Give c*h(y) - 8*l(y).\nAnswer: -14*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8843834 and 109758?\nAnswer: 3326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncnnnnnnnnncncncn. Give prob of sequence nn.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377\/7 - 54. Which is the third biggest value? (a) r (b) 9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*i. Suppose i = 3*l + 4*j - 3, 2*j = 4*l + 5*j - 4. Are l and 2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-84)*2*((-777)\/(-6))\/37\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 3, -3\/5, 2 in descending order.\nAnswer: 6, 5, 3, 2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94678.86 millilitres?\nAnswer: 94.67886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*b - 119*b - 18*b**2)*(-4*b + b + b)*(-2 + 0 - 1)*(1 + 1 - 3).\nAnswer: 108*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) - 134\/(-4). Let p = -8 + t. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l, 4*l = -5*g - 0*l + 132. Let z be 4*((-5)\/g)\/(-5). What is the nearest to 1 in -3, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522983629 to the nearest integer?\nAnswer: 22869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 327 - 1?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}